subject:(Minimum Rank Perturbation Theory)

University of Houston

1. Khoury, George Charles. Analyzing the Effects of Force Variations on Expanded Residual Damage Detection using Load Dependent Ritz Vectors.

Degree: MS, Mechanical Engineering, 2014, University of Houston

URL: http://hdl.handle.net/10657/1388

► Many non-destructive damage detection problems are presented with the challenge where limited sensor sets allow the measurement of fewer degrees of freedom than the analytical… (more)

Subjects/Keywords: Damage Detection; Minimum Rank Perturbation Theory; Damage Residuals; Method of Expanded Dynamic Residuals; Modified Method of Expanded Dynamic Residuals; Dot Product Damage Residual Expansion Method; Ritz Vectors

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APA (6^th Edition):

Khoury, G. C. (2014). Analyzing the Effects of Force Variations on Expanded Residual Damage Detection using Load Dependent Ritz Vectors. (Masters Thesis). University of Houston. Retrieved from http://hdl.handle.net/10657/1388

Chicago Manual of Style (16^th Edition):

Khoury, George Charles. “Analyzing the Effects of Force Variations on Expanded Residual Damage Detection using Load Dependent Ritz Vectors.” 2014. Masters Thesis, University of Houston. Accessed January 23, 2021. http://hdl.handle.net/10657/1388.

MLA Handbook (7^th Edition):

Khoury, George Charles. “Analyzing the Effects of Force Variations on Expanded Residual Damage Detection using Load Dependent Ritz Vectors.” 2014. Web. 23 Jan 2021.

Vancouver:

Khoury GC. Analyzing the Effects of Force Variations on Expanded Residual Damage Detection using Load Dependent Ritz Vectors. [Internet] [Masters thesis]. University of Houston; 2014. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/10657/1388.

Council of Science Editors:

Khoury GC. Analyzing the Effects of Force Variations on Expanded Residual Damage Detection using Load Dependent Ritz Vectors. [Masters Thesis]. University of Houston; 2014. Available from: http://hdl.handle.net/10657/1388

Iowa State University

2. Tims, Geoff. Haemers' Minimum Rank.

Degree: 2013, Iowa State University

URL: https://lib.dr.iastate.edu/etd/12989

► Haemers' minimum rank was first defined by Willem Haemers in 1979. He created this graph parameter as an upper bound for the Shannon capacity of… (more)

Subjects/Keywords: combinatorics; graph theory; Haemers; linear algebra; minimum rank; Shannon capacity; Mathematics

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APA (6^th Edition):

Tims, G. (2013). Haemers' Minimum Rank. (Thesis). Iowa State University. Retrieved from https://lib.dr.iastate.edu/etd/12989

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Tims, Geoff. “Haemers' Minimum Rank.” 2013. Thesis, Iowa State University. Accessed January 23, 2021. https://lib.dr.iastate.edu/etd/12989.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Tims, Geoff. “Haemers' Minimum Rank.” 2013. Web. 23 Jan 2021.

Vancouver:

Tims G. Haemers' Minimum Rank. [Internet] [Thesis]. Iowa State University; 2013. [cited 2021 Jan 23]. Available from: https://lib.dr.iastate.edu/etd/12989.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Tims G. Haemers' Minimum Rank. [Thesis]. Iowa State University; 2013. Available from: https://lib.dr.iastate.edu/etd/12989

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Princeton University

3. Zhong, Yiqiao. Spectral methods and MLE: a modern statistical perspective .

Degree: PhD, 2019, Princeton University

URL: http://arks.princeton.edu/ark:/88435/dsp01gb19f8728

► Modern statistical analysis often requires the integration of statistical thinking and algorithmic thinking. There are new challenges posed for classical estimation principles. Indeed, in high-dimensional… (more)

Subjects/Keywords: Eigenvectors; High dimensional statistics; Low rank matrices; Matrix perturbation; Nonconvex optimization; Random matrix theory

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APA (6^th Edition):

Zhong, Y. (2019). Spectral methods and MLE: a modern statistical perspective . (Doctoral Dissertation). Princeton University. Retrieved from http://arks.princeton.edu/ark:/88435/dsp01gb19f8728

Chicago Manual of Style (16^th Edition):

Zhong, Yiqiao. “Spectral methods and MLE: a modern statistical perspective .” 2019. Doctoral Dissertation, Princeton University. Accessed January 23, 2021. http://arks.princeton.edu/ark:/88435/dsp01gb19f8728.

MLA Handbook (7^th Edition):

Zhong, Yiqiao. “Spectral methods and MLE: a modern statistical perspective .” 2019. Web. 23 Jan 2021.

Vancouver:

Zhong Y. Spectral methods and MLE: a modern statistical perspective . [Internet] [Doctoral dissertation]. Princeton University; 2019. [cited 2021 Jan 23]. Available from: http://arks.princeton.edu/ark:/88435/dsp01gb19f8728.

Council of Science Editors:

Zhong Y. Spectral methods and MLE: a modern statistical perspective . [Doctoral Dissertation]. Princeton University; 2019. Available from: http://arks.princeton.edu/ark:/88435/dsp01gb19f8728

Brigham Young University

4. Sexton, William Nelson. The Minimum Rank of Schemes on Graphs.

Degree: MS, 2014, Brigham Young University

URL: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=5401&context=etd

► Let G be an undirected graph on n vertices and let S(G) be the class of all real-valued symmetric n × n matrices whose… (more)

Subjects/Keywords: Combinatorial Matrix Theory; Diagonal Entry Restrictions; Graph; Minimum Rank; Scheme; Symmetric; Zero forcing; Mathematics

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APA (6^th Edition):

Sexton, W. N. (2014). The Minimum Rank of Schemes on Graphs. (Masters Thesis). Brigham Young University. Retrieved from https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=5401&context=etd

Chicago Manual of Style (16^th Edition):

Sexton, William Nelson. “The Minimum Rank of Schemes on Graphs.” 2014. Masters Thesis, Brigham Young University. Accessed January 23, 2021. https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=5401&context=etd.

MLA Handbook (7^th Edition):

Sexton, William Nelson. “The Minimum Rank of Schemes on Graphs.” 2014. Web. 23 Jan 2021.

Vancouver:

Sexton WN. The Minimum Rank of Schemes on Graphs. [Internet] [Masters thesis]. Brigham Young University; 2014. [cited 2021 Jan 23]. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=5401&context=etd.

Council of Science Editors:

Sexton WN. The Minimum Rank of Schemes on Graphs. [Masters Thesis]. Brigham Young University; 2014. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=5401&context=etd

University of Michigan

5. D'Souza, Kiran X. System Augmentation and Optimal Feedback Auxiliary Signals for Interrogating Nonlinear Systems.

Degree: PhD, Mechanical Engineering, 2009, University of Michigan

URL: http://hdl.handle.net/2027.42/64813

► System augmentation is introduced and developed as a tool for modeling nonlinear systems in the context of a variety of applications including damage detection, system… (more)

▼ System augmentation is introduced and developed as a tool for modeling nonlinear systems in the context of a variety of applications including damage detection, system identification and sensing. The idea of creating augmented models enables the construction of higher dimensional models which are characterized by a specialized/augmented forcing. This specialized forcing enforces that an augmented model exactly follows a single trajectory of the nonlinear system when projected onto the subspace of the physical structure. Within the context of damage detection, the augmentation can be combined with a generalized minimum rank perturbation theory that is specifically developed to handle augmented systems. This model-based detection method uses the fact that often damage occurs in localized regions. That results in localized changes in the corresponding (model) matrices for the structure, which leads to perturbation matrices of minimum rank. Ideally one would have sensor information at all the nodes of a finite element model used for structural health monitoring. Practically, however, due to cost, weight and accessibility issues only a limited number of locations can be instrumented. Hence, an important, current challenge for damage detection is identifying multiple damages in complex structures using few sensors. This work develops a new integrated sensor placement and reduced order health assessment approach that can be applied to nonlinear structures. This method exploits the fact that the damageable regions (hot spots) of the system are often known in advance. The central advancement is an approach to expand the partial eigenvector information obtained from few sensors into the full space (of a detailed structural model) using the knowledge that damage is limited to the hot spots. Furthermore, most current approaches used for structural health monitoring are passive, while others are active in applying an auxiliary signal (excitation) to the structure. These current methods use predefined excitation signals (e.g. pulsed-waves, frequencysweeps). Such signals are designed offline and do not adapt to the response of the structure during its interrogation. In contrast, this work develops optimal feedback auxiliary signals. The feedback nature of these signals is a key enabling technique for enhancing sensitivity/selectivity, and leads to a new structural interrogation paradigm. Advisors/Committee Members: Epureanu, Bogdan I. (committee member), Castanier, Matthew Phillip (committee member), Perkins, Noel C. (committee member), Troesch, Armin W. (committee member).

Subjects/Keywords: System Augmentation; Optimal Feedback Auxiliary Signals; Nonlinear Systems; Generalized Minimum Rank Perturbation Theory; Reduced Order Health Assessment; Nonlinear Control; Mechanical Engineering; Engineering

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APA (6^th Edition):

D'Souza, K. X. (2009). System Augmentation and Optimal Feedback Auxiliary Signals for Interrogating Nonlinear Systems. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/64813

Chicago Manual of Style (16^th Edition):

D'Souza, Kiran X. “System Augmentation and Optimal Feedback Auxiliary Signals for Interrogating Nonlinear Systems.” 2009. Doctoral Dissertation, University of Michigan. Accessed January 23, 2021. http://hdl.handle.net/2027.42/64813.

MLA Handbook (7^th Edition):

D'Souza, Kiran X. “System Augmentation and Optimal Feedback Auxiliary Signals for Interrogating Nonlinear Systems.” 2009. Web. 23 Jan 2021.

Vancouver:

D'Souza KX. System Augmentation and Optimal Feedback Auxiliary Signals for Interrogating Nonlinear Systems. [Internet] [Doctoral dissertation]. University of Michigan; 2009. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/2027.42/64813.

Council of Science Editors:

D'Souza KX. System Augmentation and Optimal Feedback Auxiliary Signals for Interrogating Nonlinear Systems. [Doctoral Dissertation]. University of Michigan; 2009. Available from: http://hdl.handle.net/2027.42/64813

Brigham Young University

6. Nelson, Curtis G. Diagonal Entry Restrictions in Minimum Rank Matrices, and the Inverse Inertia and Eigenvalue Problems for Graphs.

Degree: MS, 2012, Brigham Young University

URL: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4245&context=etd

► Let F be a field, let G be an undirected graph on n vertices, and let SF(G) be the set of all F-valued symmetric n… (more)

Subjects/Keywords: Combinatorial Matrix Theory; Diagonal Entry Restrictions; Graph; Inverse Eigenvalue Problem; Inverse Inertia Problem; Minimum Rank; Neutral; Nil; Nonzero; Symmetric; Mathematics

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APA (6^th Edition):

Nelson, C. G. (2012). Diagonal Entry Restrictions in Minimum Rank Matrices, and the Inverse Inertia and Eigenvalue Problems for Graphs. (Masters Thesis). Brigham Young University. Retrieved from https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4245&context=etd

Chicago Manual of Style (16^th Edition):

Nelson, Curtis G. “Diagonal Entry Restrictions in Minimum Rank Matrices, and the Inverse Inertia and Eigenvalue Problems for Graphs.” 2012. Masters Thesis, Brigham Young University. Accessed January 23, 2021. https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4245&context=etd.

MLA Handbook (7^th Edition):

Nelson, Curtis G. “Diagonal Entry Restrictions in Minimum Rank Matrices, and the Inverse Inertia and Eigenvalue Problems for Graphs.” 2012. Web. 23 Jan 2021.

Vancouver:

Nelson CG. Diagonal Entry Restrictions in Minimum Rank Matrices, and the Inverse Inertia and Eigenvalue Problems for Graphs. [Internet] [Masters thesis]. Brigham Young University; 2012. [cited 2021 Jan 23]. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4245&context=etd.

Council of Science Editors:

Nelson CG. Diagonal Entry Restrictions in Minimum Rank Matrices, and the Inverse Inertia and Eigenvalue Problems for Graphs. [Masters Thesis]. Brigham Young University; 2012. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4245&context=etd

Brigham Young University

7. Malloy, Nicole Andrea. Minimum Rank Problems for Cographs.

Degree: MS, 2013, Brigham Young University

URL: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4872&context=etd

► Let G be a simple graph on n vertices, and let S(G) be the class of all real-valued symmetric nxn matrices whose nonzero off-diagonal entries… (more)

Subjects/Keywords: cographs; edge subdivision; graph theory; minimum rank; nil vertices; symmetric matrices; threshold graphs; zero forcing; Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Malloy, N. A. (2013). Minimum Rank Problems for Cographs. (Masters Thesis). Brigham Young University. Retrieved from https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4872&context=etd

Chicago Manual of Style (16^th Edition):

Malloy, Nicole Andrea. “Minimum Rank Problems for Cographs.” 2013. Masters Thesis, Brigham Young University. Accessed January 23, 2021. https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4872&context=etd.

MLA Handbook (7^th Edition):

Malloy, Nicole Andrea. “Minimum Rank Problems for Cographs.” 2013. Web. 23 Jan 2021.

Vancouver:

Malloy NA. Minimum Rank Problems for Cographs. [Internet] [Masters thesis]. Brigham Young University; 2013. [cited 2021 Jan 23]. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4872&context=etd.

Council of Science Editors:

Malloy NA. Minimum Rank Problems for Cographs. [Masters Thesis]. Brigham Young University; 2013. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4872&context=etd

Iowa State University

8. Deloss, Laura Leigh. Results on minimum skew rank of matrices described by a graph.

Degree: 2009, Iowa State University

URL: https://lib.dr.iastate.edu/etd/10498

► The minimum skew rank of a finite, simple, undirected graph G over a field F of characteristic not equal to 2 is defined to be… (more)

Subjects/Keywords: Combinatorics; Graph Theory; Linear Algebra; Minimum rank; Mathematics

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APA (6^th Edition):

Deloss, L. L. (2009). Results on minimum skew rank of matrices described by a graph. (Thesis). Iowa State University. Retrieved from https://lib.dr.iastate.edu/etd/10498

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Deloss, Laura Leigh. “Results on minimum skew rank of matrices described by a graph.” 2009. Thesis, Iowa State University. Accessed January 23, 2021. https://lib.dr.iastate.edu/etd/10498.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Deloss, Laura Leigh. “Results on minimum skew rank of matrices described by a graph.” 2009. Web. 23 Jan 2021.

Vancouver:

Deloss LL. Results on minimum skew rank of matrices described by a graph. [Internet] [Thesis]. Iowa State University; 2009. [cited 2021 Jan 23]. Available from: https://lib.dr.iastate.edu/etd/10498.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Deloss LL. Results on minimum skew rank of matrices described by a graph. [Thesis]. Iowa State University; 2009. Available from: https://lib.dr.iastate.edu/etd/10498

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

9. Zagrodny, Christopher Michael. Sign Patterns that Allow Diagonalizability.

Degree: PhD, Mathematics and Statistics, 2018, Georgia State University

URL: https://scholarworks.gsu.edu/math_diss/60

► A sign pattern matrix is a matrix whose entries in the set f+;􀀀; 0g.These matrices are used to describe classes of real matrices with… (more)

Subjects/Keywords: Sign Patterns; Matrix Theory; Diagonalizability; Minimum Rank

…sign pattern matrix A ρ(A): term rank of A mr(A): minimum rank of… …minimum rank 1 has a composite cycle γ of length k, then the principal submatrix of A supported… …minimum rank 1. Theorem 2.1.6. Let A be a square sign pattern such that mr(A) = 1… …Theorem 2.1.8. Suppose a square sign pattern A has minimum rank k > 0 and A has a sign… …minimum rank 3 (seeBrua95), so mr(A) = 4. Assume that a rank 4 matrix B ∈ Q…

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APA (6^th Edition):

Zagrodny, C. M. (2018). Sign Patterns that Allow Diagonalizability. (Doctoral Dissertation). Georgia State University. Retrieved from https://scholarworks.gsu.edu/math_diss/60

Chicago Manual of Style (16^th Edition):

Zagrodny, Christopher Michael. “Sign Patterns that Allow Diagonalizability.” 2018. Doctoral Dissertation, Georgia State University. Accessed January 23, 2021. https://scholarworks.gsu.edu/math_diss/60.

MLA Handbook (7^th Edition):

Zagrodny, Christopher Michael. “Sign Patterns that Allow Diagonalizability.” 2018. Web. 23 Jan 2021.

Vancouver:

Zagrodny CM. Sign Patterns that Allow Diagonalizability. [Internet] [Doctoral dissertation]. Georgia State University; 2018. [cited 2021 Jan 23]. Available from: https://scholarworks.gsu.edu/math_diss/60.

Council of Science Editors:

Zagrodny CM. Sign Patterns that Allow Diagonalizability. [Doctoral Dissertation]. Georgia State University; 2018. Available from: https://scholarworks.gsu.edu/math_diss/60

Brigham Young University

10. Guzman, Christopher Abraham. Counting Threshold Graphs and Finding Inertia Sets.

Degree: MS, 2013, Brigham Young University

URL: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4846&context=etd

► This thesis is separated into two parts: threshold graphs and inertia sets. First we present an algorithmic approach to finding the minimum rank of threshold… (more)

Subjects/Keywords: threshold graphs; minimum rank; inertia sets; Mathematics

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APA (6^th Edition):

Guzman, C. A. (2013). Counting Threshold Graphs and Finding Inertia Sets. (Masters Thesis). Brigham Young University. Retrieved from https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4846&context=etd

Chicago Manual of Style (16^th Edition):

Guzman, Christopher Abraham. “Counting Threshold Graphs and Finding Inertia Sets.” 2013. Masters Thesis, Brigham Young University. Accessed January 23, 2021. https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4846&context=etd.

MLA Handbook (7^th Edition):

Guzman, Christopher Abraham. “Counting Threshold Graphs and Finding Inertia Sets.” 2013. Web. 23 Jan 2021.

Vancouver:

Guzman CA. Counting Threshold Graphs and Finding Inertia Sets. [Internet] [Masters thesis]. Brigham Young University; 2013. [cited 2021 Jan 23]. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4846&context=etd.

Council of Science Editors:

Guzman CA. Counting Threshold Graphs and Finding Inertia Sets. [Masters Thesis]. Brigham Young University; 2013. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=4846&context=etd

Brigham Young University

11. Owens, Kayla Denise. Properties of the Zero Forcing Number.

Degree: MS, 2009, Brigham Young University

URL: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=3215&context=etd

► The zero forcing number is a graph parameter first introduced as a tool for solving the minimum rank problem, which is: Given a simple,… (more)

Subjects/Keywords: Graph Theory; Zero Forcing; Minimum rank; symmetric matrix; maximum nullity; Mathematics

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APA (6^th Edition):

Owens, K. D. (2009). Properties of the Zero Forcing Number. (Masters Thesis). Brigham Young University. Retrieved from https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=3215&context=etd

Chicago Manual of Style (16^th Edition):

Owens, Kayla Denise. “Properties of the Zero Forcing Number.” 2009. Masters Thesis, Brigham Young University. Accessed January 23, 2021. https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=3215&context=etd.

MLA Handbook (7^th Edition):

Owens, Kayla Denise. “Properties of the Zero Forcing Number.” 2009. Web. 23 Jan 2021.

Vancouver:

Owens KD. Properties of the Zero Forcing Number. [Internet] [Masters thesis]. Brigham Young University; 2009. [cited 2021 Jan 23]. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=3215&context=etd.

Council of Science Editors:

Owens KD. Properties of the Zero Forcing Number. [Masters Thesis]. Brigham Young University; 2009. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=3215&context=etd

Georgia State University

12. Gao, Wei. Minimum Ranks and Refined Inertias of Sign Pattern Matrices.

Degree: PhD, Mathematics and Statistics, 2016, Georgia State University

URL: https://scholarworks.gsu.edu/math_diss/32

► A sign pattern is a matrix whose entries are from the set {+, -, 0}. This thesis contains problems about refined inertias and minimum… (more)

Subjects/Keywords: Sign pattern; Refined inertia; Critical set of refined inertias; Minimum rank; Rational minimum rank; Point-hyperplane configuration.

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Gao, W. (2016). Minimum Ranks and Refined Inertias of Sign Pattern Matrices. (Doctoral Dissertation). Georgia State University. Retrieved from https://scholarworks.gsu.edu/math_diss/32

Chicago Manual of Style (16^th Edition):

Gao, Wei. “Minimum Ranks and Refined Inertias of Sign Pattern Matrices.” 2016. Doctoral Dissertation, Georgia State University. Accessed January 23, 2021. https://scholarworks.gsu.edu/math_diss/32.

MLA Handbook (7^th Edition):

Gao, Wei. “Minimum Ranks and Refined Inertias of Sign Pattern Matrices.” 2016. Web. 23 Jan 2021.

Vancouver:

Gao W. Minimum Ranks and Refined Inertias of Sign Pattern Matrices. [Internet] [Doctoral dissertation]. Georgia State University; 2016. [cited 2021 Jan 23]. Available from: https://scholarworks.gsu.edu/math_diss/32.

Council of Science Editors:

Gao W. Minimum Ranks and Refined Inertias of Sign Pattern Matrices. [Doctoral Dissertation]. Georgia State University; 2016. Available from: https://scholarworks.gsu.edu/math_diss/32

King Abdullah University of Science and Technology

13. Abuzaid, Abdulrahman I. Joint Preprocesser-Based Detectors for One-Way and Two-Way Cooperative Communication Networks.

Degree: 2014, King Abdullah University of Science and Technology

URL: http://hdl.handle.net/10754/317256

► Efficient receiver designs for cooperative communication networks are becoming increasingly important. In previous work, cooperative networks communicated with the use of L relays. As the… (more)

Subjects/Keywords: Cooperative communications; Adaptive Filtering; Rank Reduction; Minimum Square Error; Minimum Symbol Error Rate

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APA (6^th Edition):

Abuzaid, A. I. (2014). Joint Preprocesser-Based Detectors for One-Way and Two-Way Cooperative Communication Networks. (Thesis). King Abdullah University of Science and Technology. Retrieved from http://hdl.handle.net/10754/317256

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Abuzaid, Abdulrahman I. “Joint Preprocesser-Based Detectors for One-Way and Two-Way Cooperative Communication Networks.” 2014. Thesis, King Abdullah University of Science and Technology. Accessed January 23, 2021. http://hdl.handle.net/10754/317256.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Abuzaid, Abdulrahman I. “Joint Preprocesser-Based Detectors for One-Way and Two-Way Cooperative Communication Networks.” 2014. Web. 23 Jan 2021.

Vancouver:

Abuzaid AI. Joint Preprocesser-Based Detectors for One-Way and Two-Way Cooperative Communication Networks. [Internet] [Thesis]. King Abdullah University of Science and Technology; 2014. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/10754/317256.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Abuzaid AI. Joint Preprocesser-Based Detectors for One-Way and Two-Way Cooperative Communication Networks. [Thesis]. King Abdullah University of Science and Technology; 2014. Available from: http://hdl.handle.net/10754/317256

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Georgia Tech

14. Xia, Dong. Statistical inference for large matrices.

Degree: PhD, Mathematics, 2016, Georgia Tech

URL: http://hdl.handle.net/1853/55632

► This thesis covers two topics on matrix analysis and estimation in machine learning and statistics. The first topic is about density matrix estimation with application… (more)

Subjects/Keywords: Low rank; Matrix estimation; Singular vectors; Random perturbation

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APA (6^th Edition):

Xia, D. (2016). Statistical inference for large matrices. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/55632

Chicago Manual of Style (16^th Edition):

Xia, Dong. “Statistical inference for large matrices.” 2016. Doctoral Dissertation, Georgia Tech. Accessed January 23, 2021. http://hdl.handle.net/1853/55632.

MLA Handbook (7^th Edition):

Xia, Dong. “Statistical inference for large matrices.” 2016. Web. 23 Jan 2021.

Vancouver:

Xia D. Statistical inference for large matrices. [Internet] [Doctoral dissertation]. Georgia Tech; 2016. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/1853/55632.

Council of Science Editors:

Xia D. Statistical inference for large matrices. [Doctoral Dissertation]. Georgia Tech; 2016. Available from: http://hdl.handle.net/1853/55632

Brigham Young University

15. Kempton, Mark Condie. The Minimum Rank, Inverse Inertia, and Inverse Eigenvalue Problems for Graphs.

Degree: MS, 2010, Brigham Young University

URL: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=3181&context=etd

► For a graph G we define S(G) to be the set of all real symmetric n by n matrices whose off-diagonal zero/nonzero pattern is… (more)

Subjects/Keywords: matrix; graph; minimum rank; inertia; zero forcing; eigenvalue; Mathematics

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APA (6^th Edition):

Kempton, M. C. (2010). The Minimum Rank, Inverse Inertia, and Inverse Eigenvalue Problems for Graphs. (Masters Thesis). Brigham Young University. Retrieved from https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=3181&context=etd

Chicago Manual of Style (16^th Edition):

Kempton, Mark Condie. “The Minimum Rank, Inverse Inertia, and Inverse Eigenvalue Problems for Graphs.” 2010. Masters Thesis, Brigham Young University. Accessed January 23, 2021. https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=3181&context=etd.

MLA Handbook (7^th Edition):

Kempton, Mark Condie. “The Minimum Rank, Inverse Inertia, and Inverse Eigenvalue Problems for Graphs.” 2010. Web. 23 Jan 2021.

Vancouver:

Kempton MC. The Minimum Rank, Inverse Inertia, and Inverse Eigenvalue Problems for Graphs. [Internet] [Masters thesis]. Brigham Young University; 2010. [cited 2021 Jan 23]. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=3181&context=etd.

Council of Science Editors:

Kempton MC. The Minimum Rank, Inverse Inertia, and Inverse Eigenvalue Problems for Graphs. [Masters Thesis]. Brigham Young University; 2010. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=3181&context=etd

University of Alberta

16. Dowling, Matthew E. High Order Corrections to Fundamental Constants.

Degree: PhD, Department of Physics, 2012, University of Alberta

URL: https://era.library.ualberta.ca/files/8623j0109

► This thesis explores the determination of a few of the fundamental constants of the standard model by employing different methods than those historically used. Modern… (more)

Subjects/Keywords: Atomic corrections; Perturbation theory; Phenomenology

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APA (6^th Edition):

Dowling, M. E. (2012). High Order Corrections to Fundamental Constants. (Doctoral Dissertation). University of Alberta. Retrieved from https://era.library.ualberta.ca/files/8623j0109

Chicago Manual of Style (16^th Edition):

Dowling, Matthew E. “High Order Corrections to Fundamental Constants.” 2012. Doctoral Dissertation, University of Alberta. Accessed January 23, 2021. https://era.library.ualberta.ca/files/8623j0109.

MLA Handbook (7^th Edition):

Dowling, Matthew E. “High Order Corrections to Fundamental Constants.” 2012. Web. 23 Jan 2021.

Vancouver:

Dowling ME. High Order Corrections to Fundamental Constants. [Internet] [Doctoral dissertation]. University of Alberta; 2012. [cited 2021 Jan 23]. Available from: https://era.library.ualberta.ca/files/8623j0109.

Council of Science Editors:

Dowling ME. High Order Corrections to Fundamental Constants. [Doctoral Dissertation]. University of Alberta; 2012. Available from: https://era.library.ualberta.ca/files/8623j0109

Addis Ababa University

17. SAMUEL, MULUGETA. CHIRAL PERTURBATION THEORY WITH APPLICATIONS TO SOME HADRONIC PROCESS .

Degree: 2012, Addis Ababa University

URL: http://etd.aau.edu.et/dspace/handle/123456789/1285

► This project mainly describe the introduction to chiral perturbation theory for strong interaction at low energy level and deals with quantum chromodynamics and its global… (more)

Subjects/Keywords: chiral perturbation theory; chromodynamics

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APA (6^th Edition):

SAMUEL, M. (2012). CHIRAL PERTURBATION THEORY WITH APPLICATIONS TO SOME HADRONIC PROCESS . (Thesis). Addis Ababa University. Retrieved from http://etd.aau.edu.et/dspace/handle/123456789/1285

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

SAMUEL, MULUGETA. “CHIRAL PERTURBATION THEORY WITH APPLICATIONS TO SOME HADRONIC PROCESS .” 2012. Thesis, Addis Ababa University. Accessed January 23, 2021. http://etd.aau.edu.et/dspace/handle/123456789/1285.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

SAMUEL, MULUGETA. “CHIRAL PERTURBATION THEORY WITH APPLICATIONS TO SOME HADRONIC PROCESS .” 2012. Web. 23 Jan 2021.

Vancouver:

SAMUEL M. CHIRAL PERTURBATION THEORY WITH APPLICATIONS TO SOME HADRONIC PROCESS . [Internet] [Thesis]. Addis Ababa University; 2012. [cited 2021 Jan 23]. Available from: http://etd.aau.edu.et/dspace/handle/123456789/1285.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

SAMUEL M. CHIRAL PERTURBATION THEORY WITH APPLICATIONS TO SOME HADRONIC PROCESS . [Thesis]. Addis Ababa University; 2012. Available from: http://etd.aau.edu.et/dspace/handle/123456789/1285

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

18. Monahan, Christopher John. The application of automated perturbation theory to lattice QCD.

Degree: PhD, 2011, University of Cambridge

URL: http://www.dspace.cam.ac.uk/handle/1810/241041https://www.repository.cam.ac.uk/bitstream/1810/241041/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/241041/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/241041/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/241041/6/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/7/thesis.pdf.jpg

► Predictions of heavy quark parameters are an integral component of precision tests of the Standard Model of particle physics. Experimental measurements of electroweak processes involving… (more)

▼ Predictions of heavy quark parameters are an integral component of precision tests of the Standard Model of particle physics. Experimental measurements of electroweak processes involving heavy hadrons provide stringent tests of Cabibbo-Kobayashi-Maskawa (CKM) matrix unitarity and serve as a probe of new physics. Hadronic matrix elements parameterise the strong dynamics of these interactions and these matrix elements must be calculated nonperturbatively. Lattice quantum chromodynamics (QCD) provides the framework for nonperturbative calculations of QCD processes. Current lattices are too coarse to directly simulate b quarks. Therefore an effective theory, nonrelativistic QCD (NRQCD), is used to discretise the heavy quarks. High precision simulations are required so systematic uncertainties are removed by improving the NRQCD action. Precise simulations also require improved sea quark actions, such as the highly-improved staggered quark (HISQ) action. The renormalisation parameters of these actions cannot be feasibly determined by hand and thus automated procedures have been developed. In this dissertation I apply automated lattice pertubartion theory to a number of heavy quark calculations. I first review the fundamentals of lattice QCD and the construction of lattice NRQCD. I then motivate and discuss lattice perturbation theory in detail, focussing on the tools and techniques that I use in this dissertation. I calculate the two-loop tadpole improvement factors for improved gluons with improved light quarks. I then compute the renormalisation parameters of NRQCD. I use a mix of analytic and numerical methods to extract the one-loop radiative corrections to the higher order kinetic operators in the NRQCD action. I then employ a fully automated procedure to calculate the heavy quark energy shift at two-loops. I use this result to extract a new prediction of the mass of the b quark from lattice NRQCD simulations by the HPQCD collaboration. I also review the calculation of the radiative corrections to the chromo-magnetic operator in the NRQCD action. This computation is the first outcome of our implementation of background field gauge for automated lattice perturbation theory. Finally, I calculate the heavy-light currents for highly-improved NRQCD heavy quarks with massless HISQ light quarks and discuss the application of these results to nonperturbative studies by the HPQCD collaboration.

Subjects/Keywords: Lattice QCD; NRQCD; Perturbation theory

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APA (6^th Edition):

Monahan, C. J. (2011). The application of automated perturbation theory to lattice QCD. (Doctoral Dissertation). University of Cambridge. Retrieved from http://www.dspace.cam.ac.uk/handle/1810/241041https://www.repository.cam.ac.uk/bitstream/1810/241041/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/241041/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/241041/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/241041/6/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/7/thesis.pdf.jpg

Chicago Manual of Style (16^th Edition):

Monahan, Christopher John. “The application of automated perturbation theory to lattice QCD.” 2011. Doctoral Dissertation, University of Cambridge. Accessed January 23, 2021. http://www.dspace.cam.ac.uk/handle/1810/241041https://www.repository.cam.ac.uk/bitstream/1810/241041/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/241041/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/241041/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/241041/6/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/7/thesis.pdf.jpg.

MLA Handbook (7^th Edition):

Monahan, Christopher John. “The application of automated perturbation theory to lattice QCD.” 2011. Web. 23 Jan 2021.

Vancouver:

Monahan CJ. The application of automated perturbation theory to lattice QCD. [Internet] [Doctoral dissertation]. University of Cambridge; 2011. [cited 2021 Jan 23]. Available from: http://www.dspace.cam.ac.uk/handle/1810/241041https://www.repository.cam.ac.uk/bitstream/1810/241041/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/241041/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/241041/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/241041/6/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/7/thesis.pdf.jpg.

Council of Science Editors:

Monahan CJ. The application of automated perturbation theory to lattice QCD. [Doctoral Dissertation]. University of Cambridge; 2011. Available from: http://www.dspace.cam.ac.uk/handle/1810/241041https://www.repository.cam.ac.uk/bitstream/1810/241041/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/241041/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/241041/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/241041/6/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241041/7/thesis.pdf.jpg

University of Manchester

19. Hewson, Paul Joseph. Chiral symmetry in nucleons.

Degree: PhD, 2015, University of Manchester

URL: https://www.research.manchester.ac.uk/portal/en/theses/chiral-symmetry-in-nucleons(bc2c5e94-1830-465e-b10c-5b7c162e7381).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.647437

► Chiral perturbation theory allows us to probe the low energy properties of hadrons. In this thesis we have looked at the axial coupling constant (see… (more)

Subjects/Keywords: 539.7; Chiral perturbation theory; Baryon

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APA (6^th Edition):

Hewson, P. J. (2015). Chiral symmetry in nucleons. (Doctoral Dissertation). University of Manchester. Retrieved from https://www.research.manchester.ac.uk/portal/en/theses/chiral-symmetry-in-nucleons(bc2c5e94-1830-465e-b10c-5b7c162e7381).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.647437

Chicago Manual of Style (16^th Edition):

Hewson, Paul Joseph. “Chiral symmetry in nucleons.” 2015. Doctoral Dissertation, University of Manchester. Accessed January 23, 2021. https://www.research.manchester.ac.uk/portal/en/theses/chiral-symmetry-in-nucleons(bc2c5e94-1830-465e-b10c-5b7c162e7381).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.647437.

MLA Handbook (7^th Edition):

Hewson, Paul Joseph. “Chiral symmetry in nucleons.” 2015. Web. 23 Jan 2021.

Vancouver:

Hewson PJ. Chiral symmetry in nucleons. [Internet] [Doctoral dissertation]. University of Manchester; 2015. [cited 2021 Jan 23]. Available from: https://www.research.manchester.ac.uk/portal/en/theses/chiral-symmetry-in-nucleons(bc2c5e94-1830-465e-b10c-5b7c162e7381).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.647437.

Council of Science Editors:

Hewson PJ. Chiral symmetry in nucleons. [Doctoral Dissertation]. University of Manchester; 2015. Available from: https://www.research.manchester.ac.uk/portal/en/theses/chiral-symmetry-in-nucleons(bc2c5e94-1830-465e-b10c-5b7c162e7381).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.647437

Queen Mary, University of London

20. Nalson, Eleanor Catherine. Cosmological perturbation theory and magnetogenesis.

Degree: PhD, 2014, Queen Mary, University of London

URL: http://qmro.qmul.ac.uk/xmlui/handle/123456789/8775 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.667281

► Cosmological perturbation theory (CPT) is an important tool with which inhomogeneities that seed the observed structure of our universe can be studied. This thesis introduces… (more)

Subjects/Keywords: 521; Cosmological perturbation theory; magnetogenesis

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APA (6^th Edition):

Nalson, E. C. (2014). Cosmological perturbation theory and magnetogenesis. (Doctoral Dissertation). Queen Mary, University of London. Retrieved from http://qmro.qmul.ac.uk/xmlui/handle/123456789/8775 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.667281

Chicago Manual of Style (16^th Edition):

Nalson, Eleanor Catherine. “Cosmological perturbation theory and magnetogenesis.” 2014. Doctoral Dissertation, Queen Mary, University of London. Accessed January 23, 2021. http://qmro.qmul.ac.uk/xmlui/handle/123456789/8775 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.667281.

MLA Handbook (7^th Edition):

Nalson, Eleanor Catherine. “Cosmological perturbation theory and magnetogenesis.” 2014. Web. 23 Jan 2021.

Vancouver:

Nalson EC. Cosmological perturbation theory and magnetogenesis. [Internet] [Doctoral dissertation]. Queen Mary, University of London; 2014. [cited 2021 Jan 23]. Available from: http://qmro.qmul.ac.uk/xmlui/handle/123456789/8775 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.667281.

Council of Science Editors:

Nalson EC. Cosmological perturbation theory and magnetogenesis. [Doctoral Dissertation]. Queen Mary, University of London; 2014. Available from: http://qmro.qmul.ac.uk/xmlui/handle/123456789/8775 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.667281

Georgia Tech

21. Bakr, Brandon Wallace. Symmetry-adapted perturbation theory for organocatalysis.

Degree: PhD, Chemistry and Biochemistry, 2018, Georgia Tech

URL: http://hdl.handle.net/1853/60207

► Functional-group and atomic partitions of symmetry-adapted perturbation theory (SAPT) were used, for the first time, to analyze non-covalent interactions thought to influence the selectivity of… (more)

Subjects/Keywords: Symmetry-adapted perturbation theory; Organocatalysis

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APA (6^th Edition):

Bakr, B. W. (2018). Symmetry-adapted perturbation theory for organocatalysis. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/60207

Chicago Manual of Style (16^th Edition):

Bakr, Brandon Wallace. “Symmetry-adapted perturbation theory for organocatalysis.” 2018. Doctoral Dissertation, Georgia Tech. Accessed January 23, 2021. http://hdl.handle.net/1853/60207.

MLA Handbook (7^th Edition):

Bakr, Brandon Wallace. “Symmetry-adapted perturbation theory for organocatalysis.” 2018. Web. 23 Jan 2021.

Vancouver:

Bakr BW. Symmetry-adapted perturbation theory for organocatalysis. [Internet] [Doctoral dissertation]. Georgia Tech; 2018. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/1853/60207.

Council of Science Editors:

Bakr BW. Symmetry-adapted perturbation theory for organocatalysis. [Doctoral Dissertation]. Georgia Tech; 2018. Available from: http://hdl.handle.net/1853/60207

Georgia Tech

22. Zhou, Fan. Statistical inference for high dimensional data with low rank structure.

Degree: PhD, Mathematics, 2018, Georgia Tech

URL: http://hdl.handle.net/1853/60750

► We study two major topics on statistical inference for high dimensional data with low rank structure occurred in many machine learning and statistics applications. The… (more)

Subjects/Keywords: Nonparametric statistics; Matrix completion; Low rank; Nuclear norm; Tensor; Singular vector perturbation

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APA (6^th Edition):

Zhou, F. (2018). Statistical inference for high dimensional data with low rank structure. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/60750

Chicago Manual of Style (16^th Edition):

Zhou, Fan. “Statistical inference for high dimensional data with low rank structure.” 2018. Doctoral Dissertation, Georgia Tech. Accessed January 23, 2021. http://hdl.handle.net/1853/60750.

MLA Handbook (7^th Edition):

Zhou, Fan. “Statistical inference for high dimensional data with low rank structure.” 2018. Web. 23 Jan 2021.

Vancouver:

Zhou F. Statistical inference for high dimensional data with low rank structure. [Internet] [Doctoral dissertation]. Georgia Tech; 2018. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/1853/60750.

Council of Science Editors:

Zhou F. Statistical inference for high dimensional data with low rank structure. [Doctoral Dissertation]. Georgia Tech; 2018. Available from: http://hdl.handle.net/1853/60750

23. Stroev, Mikhail. Some Results on Generalized Complementary Basic Matrices and Dense Alternating Sign Matrices.

Degree: PhD, Mathematics and Statistics, 2016, Georgia State University

URL: https://scholarworks.gsu.edu/math_diss/28

► The first part of this dissertation answers the questions posed in the article ``A note on permanents and generalized complementary basic matrices", {\it Linear… (more)

Subjects/Keywords: Generalized complementary basic matrix; Permanent; Alternating sign matrix; Dense matrix; Sign pattern matrix; Minimum rank.

1 more image…

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APA (6^th Edition):

Stroev, M. (2016). Some Results on Generalized Complementary Basic Matrices and Dense Alternating Sign Matrices. (Doctoral Dissertation). Georgia State University. Retrieved from https://scholarworks.gsu.edu/math_diss/28

Chicago Manual of Style (16^th Edition):

Stroev, Mikhail. “Some Results on Generalized Complementary Basic Matrices and Dense Alternating Sign Matrices.” 2016. Doctoral Dissertation, Georgia State University. Accessed January 23, 2021. https://scholarworks.gsu.edu/math_diss/28.

MLA Handbook (7^th Edition):

Stroev, Mikhail. “Some Results on Generalized Complementary Basic Matrices and Dense Alternating Sign Matrices.” 2016. Web. 23 Jan 2021.

Vancouver:

Stroev M. Some Results on Generalized Complementary Basic Matrices and Dense Alternating Sign Matrices. [Internet] [Doctoral dissertation]. Georgia State University; 2016. [cited 2021 Jan 23]. Available from: https://scholarworks.gsu.edu/math_diss/28.

Council of Science Editors:

Stroev M. Some Results on Generalized Complementary Basic Matrices and Dense Alternating Sign Matrices. [Doctoral Dissertation]. Georgia State University; 2016. Available from: https://scholarworks.gsu.edu/math_diss/28

24. Zhou, Wenyan. The Minimum Rank of Sign Pattern Matrices with a 1-Separation.

Degree: MS, Mathematics and Statistics, 2013, Georgia State University

URL: https://scholarworks.gsu.edu/math_theses/131

► Given a sign pattern matrix M composed of two sub-patterns A and B connected by a 1-separation, we provide a formula that relates the… (more)

Subjects/Keywords: Minimum rank; Sign pattern; Separation

…the study of the minimum rank of a sign pattern attempts to determine the minimum rank among… …unbounded error probabilistic communication protocols, using a lower bound of the minimum rank of… …x28;+, −)-symmetric sign patterns. The determination of the minimum rank of a sign… …extend the results of the minimum rank of a simple graph with a 1-separation discovered… …the minimun rank of sign pattern matrices. In the study of the minimum rank of a simple…

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APA (6^th Edition):

Zhou, W. (2013). The Minimum Rank of Sign Pattern Matrices with a 1-Separation. (Thesis). Georgia State University. Retrieved from https://scholarworks.gsu.edu/math_theses/131

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Zhou, Wenyan. “The Minimum Rank of Sign Pattern Matrices with a 1-Separation.” 2013. Thesis, Georgia State University. Accessed January 23, 2021. https://scholarworks.gsu.edu/math_theses/131.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Zhou, Wenyan. “The Minimum Rank of Sign Pattern Matrices with a 1-Separation.” 2013. Web. 23 Jan 2021.

Vancouver:

Zhou W. The Minimum Rank of Sign Pattern Matrices with a 1-Separation. [Internet] [Thesis]. Georgia State University; 2013. [cited 2021 Jan 23]. Available from: https://scholarworks.gsu.edu/math_theses/131.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Zhou W. The Minimum Rank of Sign Pattern Matrices with a 1-Separation. [Thesis]. Georgia State University; 2013. Available from: https://scholarworks.gsu.edu/math_theses/131

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

McMaster University

25. Sinclair, Peter. Relationships between Model Theory and Valuations of Fields.

Degree: PhD, 2018, McMaster University

URL: http://hdl.handle.net/11375/23326

►

This thesis explores some of the relationships between model theoretic and algebraic properties of fields, focusing on valuations of fields. We first show that the… (more)

Subjects/Keywords: Model Theory; Algebra; Valued Fields; Dp-rank

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APA (6^th Edition):

Sinclair, P. (2018). Relationships between Model Theory and Valuations of Fields. (Doctoral Dissertation). McMaster University. Retrieved from http://hdl.handle.net/11375/23326

Chicago Manual of Style (16^th Edition):

Sinclair, Peter. “Relationships between Model Theory and Valuations of Fields.” 2018. Doctoral Dissertation, McMaster University. Accessed January 23, 2021. http://hdl.handle.net/11375/23326.

MLA Handbook (7^th Edition):

Sinclair, Peter. “Relationships between Model Theory and Valuations of Fields.” 2018. Web. 23 Jan 2021.

Vancouver:

Sinclair P. Relationships between Model Theory and Valuations of Fields. [Internet] [Doctoral dissertation]. McMaster University; 2018. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/11375/23326.

Council of Science Editors:

Sinclair P. Relationships between Model Theory and Valuations of Fields. [Doctoral Dissertation]. McMaster University; 2018. Available from: http://hdl.handle.net/11375/23326

26. Kaplanek, Gregory Paul. Perturbative Failure Near Horizons: the Rindler Example.

Degree: MSc, 2018, McMaster University

URL: http://hdl.handle.net/11375/24109

►

Quantum field theory (QFT) in curved spacetime treats a gravitational field as a classical background upon which quantum corrections may be computed. When couplings are… (more)

▼

Quantum field theory (QFT) in curved spacetime treats a gravitational field as a classical background upon which quantum corrections may be computed. When couplings are assumed to be small, it is traditionally believed that perturbation theory yields trustworthy predictions about interacting quantum fields in such settings — this work asserts that this is not always the case. It is argued that perturbative predictions about evolution for very long times near a horizon are subject to problems of secular growth — ie. powers of small couplings come systematically together with growing functions of time. Such growth signals a breakdown of na ̈ıve perturbative calculations of late-time behaviour, regardless of how small ambient curvatures might be. Evidence is built that such breakdowns should be generic for gravitational fields, particularly those containing horizons. This work makes use of the Rindler horizon in flat Minkowski space to demonstrate an explicit example of such perturbative breakdown. A loop correction involving an IR/UV interplay is shown to result in a two-point correlation function which exhibits secular growth. This result is shown to parallel a breakdown occurring in finite temperature QFT, where problems of secular growth are known to occur. The problematic correction is then resummed, allowing for trustworthy late-time inferences. We conclude by discussing how this calculation may be relevant for predictions near black hole horizons.

Thesis

Master of Science (MSc)

Perturbation theory is an approximation technique widely used in the study of quantum field theory (QFT). In this work it is argued that the predictions of per- turbation theory can fail when used on a QFT living in a spacetime that contains an event horizon. This work focuses on perturbative breakdowns that occur after long lengths of time have passed, providing an explicit example in the simplest possible spacetime with an event horizon: Rindler space. It is argued that this breakdown may occur in more complicated settings.

Advisors/Committee Members: Burgess, Cliff, Physics and Astronomy.

Subjects/Keywords: Quantum; Field; Theory; Horizons; Perturbation; Gravity

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APA (6^th Edition):

Kaplanek, G. P. (2018). Perturbative Failure Near Horizons: the Rindler Example. (Masters Thesis). McMaster University. Retrieved from http://hdl.handle.net/11375/24109

Chicago Manual of Style (16^th Edition):

Kaplanek, Gregory Paul. “Perturbative Failure Near Horizons: the Rindler Example.” 2018. Masters Thesis, McMaster University. Accessed January 23, 2021. http://hdl.handle.net/11375/24109.

MLA Handbook (7^th Edition):

Kaplanek, Gregory Paul. “Perturbative Failure Near Horizons: the Rindler Example.” 2018. Web. 23 Jan 2021.

Vancouver:

Kaplanek GP. Perturbative Failure Near Horizons: the Rindler Example. [Internet] [Masters thesis]. McMaster University; 2018. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/11375/24109.

Council of Science Editors:

Kaplanek GP. Perturbative Failure Near Horizons: the Rindler Example. [Masters Thesis]. McMaster University; 2018. Available from: http://hdl.handle.net/11375/24109

North Carolina State University

27. Taylor, Monique Richardson. Dafermos Regularization of a Modified KdV-Burgers Equation.

Degree: PhD, Applied Mathematics, 2010, North Carolina State University

URL: http://www.lib.ncsu.edu/resolver/1840.16/4034

► This project involves Dafermos regularization of a partial differential equation of order higher than 2. The modified Korteweg de Vries-Burgers equation is u_T + f(u)_X… (more)

Subjects/Keywords: Geometric singular perturbation theory; Partial differential equations

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APA (6^th Edition):

Taylor, M. R. (2010). Dafermos Regularization of a Modified KdV-Burgers Equation. (Doctoral Dissertation). North Carolina State University. Retrieved from http://www.lib.ncsu.edu/resolver/1840.16/4034

Chicago Manual of Style (16^th Edition):

Taylor, Monique Richardson. “Dafermos Regularization of a Modified KdV-Burgers Equation.” 2010. Doctoral Dissertation, North Carolina State University. Accessed January 23, 2021. http://www.lib.ncsu.edu/resolver/1840.16/4034.

MLA Handbook (7^th Edition):

Taylor, Monique Richardson. “Dafermos Regularization of a Modified KdV-Burgers Equation.” 2010. Web. 23 Jan 2021.

Vancouver:

Taylor MR. Dafermos Regularization of a Modified KdV-Burgers Equation. [Internet] [Doctoral dissertation]. North Carolina State University; 2010. [cited 2021 Jan 23]. Available from: http://www.lib.ncsu.edu/resolver/1840.16/4034.

Council of Science Editors:

Taylor MR. Dafermos Regularization of a Modified KdV-Burgers Equation. [Doctoral Dissertation]. North Carolina State University; 2010. Available from: http://www.lib.ncsu.edu/resolver/1840.16/4034

28. Timian, Eric. Relativistic Multireference Perturbation Theory With Applications To D And F Block Metal Systems.

Degree: PhD, Chemistry, 2018, University of North Dakota

URL: https://commons.und.edu/theses/2365

► Electronic structure theory programs strive to be as widely applicable as possible. In order to account for effects exhibited by heavier elements, relativistic considerations… (more)

▼ Electronic structure theory programs strive to be as widely applicable as possible. In order to account for effects exhibited by heavier elements, relativistic considerations must be incorporated into these programs. The methods developed in recent years generally succeed in describing the relativistic nature of systems containing heavier elements with reasonable accuracy, but have limited application due to their complexity and computational demand. Highly correlated systems exhibiting significant relativistic effects remain as a challenge to quantum chemical methods. In this thesis, I present the application of a well-defined relativistic Hamiltonian to a high-level electronic structure theory to generate a relativistic variant of a high-level multireference electronic structure theory capable of obtaining accurate results for highly correlated relativistic systems. This theory applies the exact two-component (X2C) relativistic Hamiltonian and a third-order Douglass-Kroll-Hess (DKH3) transformation for the spin-free and spin-orbit terms, respectively. The spin-orbit integrals are contracted into an effective one-electron Hamiltonian using the atomic mean field (AMFI) approximation, which increases computational efficiency with little loss in accuracy. By applying this scheme to the second-order generalized van Vleck perturbation theory (GVVPT2), which offers appropriate treatment of electron correlation, a theory providing an accurate analysis of chemical systems with strong relativistic effects is obtained. The method developed in this work is used to explore ground and low-lying excited states of the lanthanide dimer systems Gd2 and Dy2. Results from scalar relativistic studies show that GVVPT2 can accurately characterize these systems. The ground electronic states obtained (Gd2: 19Î£g- ; Dy2: 11Î g) match literature and theoretical results. The spectroscopic data obtained for the ground state of Gd2 (Re = 2.826 Ã; De = 2.48 eV; Ïe = 153.0 cm-1) are in excellent agreement with literature values (Re = 2.877 Ã; D0 = 2.1 Â± 0.7 eV; Ïe = 138-149 cm-1). Inclusion of spin-orbit coupling in these studies is expected to improve the results to agree with literature values to within chemical accuracy. Future work is planned to extend this method to transition metal trimers. Advisors/Committee Members: Mark Hoffmann.

Subjects/Keywords: Chemistry; Dimer; Lanthanide; Multireference; Perturbation Theory; Relativistic

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Timian, E. (2018). Relativistic Multireference Perturbation Theory With Applications To D And F Block Metal Systems. (Doctoral Dissertation). University of North Dakota. Retrieved from https://commons.und.edu/theses/2365

Chicago Manual of Style (16^th Edition):

Timian, Eric. “Relativistic Multireference Perturbation Theory With Applications To D And F Block Metal Systems.” 2018. Doctoral Dissertation, University of North Dakota. Accessed January 23, 2021. https://commons.und.edu/theses/2365.

MLA Handbook (7^th Edition):

Timian, Eric. “Relativistic Multireference Perturbation Theory With Applications To D And F Block Metal Systems.” 2018. Web. 23 Jan 2021.

Vancouver:

Timian E. Relativistic Multireference Perturbation Theory With Applications To D And F Block Metal Systems. [Internet] [Doctoral dissertation]. University of North Dakota; 2018. [cited 2021 Jan 23]. Available from: https://commons.und.edu/theses/2365.

Council of Science Editors:

Timian E. Relativistic Multireference Perturbation Theory With Applications To D And F Block Metal Systems. [Doctoral Dissertation]. University of North Dakota; 2018. Available from: https://commons.und.edu/theses/2365

Université Catholique de Louvain

29. Doeraene, Antoine. Near extreme eigenvalue behaviour in random matrix theory.

Degree: 2018, Université Catholique de Louvain

URL: http://hdl.handle.net/2078.1/198386

►

An important topic in random matrix theory is the study of the statistical properties of the eigenvalues of large random matrices. In this thesis, we… (more)

Subjects/Keywords: Gaussian perturbation; Random matrix theory; Painlevé equations

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Doeraene, A. (2018). Near extreme eigenvalue behaviour in random matrix theory. (Thesis). Université Catholique de Louvain. Retrieved from http://hdl.handle.net/2078.1/198386

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Doeraene, Antoine. “Near extreme eigenvalue behaviour in random matrix theory.” 2018. Thesis, Université Catholique de Louvain. Accessed January 23, 2021. http://hdl.handle.net/2078.1/198386.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Doeraene, Antoine. “Near extreme eigenvalue behaviour in random matrix theory.” 2018. Web. 23 Jan 2021.

Vancouver:

Doeraene A. Near extreme eigenvalue behaviour in random matrix theory. [Internet] [Thesis]. Université Catholique de Louvain; 2018. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/2078.1/198386.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Doeraene A. Near extreme eigenvalue behaviour in random matrix theory. [Thesis]. Université Catholique de Louvain; 2018. Available from: http://hdl.handle.net/2078.1/198386

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Queen Mary, University of London

30. Goldberg, Sophia Rachel. Two-parameter perturbation theory for cosmologies with non-linear structure.

Degree: PhD, 2018, Queen Mary, University of London

URL: http://qmro.qmul.ac.uk/xmlui/handle/123456789/43168 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.766271

► We propose and construct a two-parameter expansion around a Friedmann-Lemaitre- Robertson-Walker geometry which uses both large-scale and small-scale perturbations analogous to cosmological perturbation theory and… (more)

Subjects/Keywords: Physics and Astronomy; Cosmologies; cosmological perturbation theory

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Goldberg, S. R. (2018). Two-parameter perturbation theory for cosmologies with non-linear structure. (Doctoral Dissertation). Queen Mary, University of London. Retrieved from http://qmro.qmul.ac.uk/xmlui/handle/123456789/43168 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.766271

Chicago Manual of Style (16^th Edition):

Goldberg, Sophia Rachel. “Two-parameter perturbation theory for cosmologies with non-linear structure.” 2018. Doctoral Dissertation, Queen Mary, University of London. Accessed January 23, 2021. http://qmro.qmul.ac.uk/xmlui/handle/123456789/43168 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.766271.

MLA Handbook (7^th Edition):

Goldberg, Sophia Rachel. “Two-parameter perturbation theory for cosmologies with non-linear structure.” 2018. Web. 23 Jan 2021.

Vancouver:

Goldberg SR. Two-parameter perturbation theory for cosmologies with non-linear structure. [Internet] [Doctoral dissertation]. Queen Mary, University of London; 2018. [cited 2021 Jan 23]. Available from: http://qmro.qmul.ac.uk/xmlui/handle/123456789/43168 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.766271.

Council of Science Editors:

Goldberg SR. Two-parameter perturbation theory for cosmologies with non-linear structure. [Doctoral Dissertation]. Queen Mary, University of London; 2018. Available from: http://qmro.qmul.ac.uk/xmlui/handle/123456789/43168 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.766271

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