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You searched for subject:(Homotopy Continuation). Showing records 1 – 27 of 27 total matches.

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NSYSU

1. Chang, Hen-wen. The End Game Problem in Solving Algebraic Eigenvalue Problems by Homotopy Continuation Method.

Degree: Master, Applied Mathematics, 2013, NSYSU

 The homotopy continuation method is considered to solve polynomial systems. If the number of solutions of the starting system is much more than that of… (more)

Subjects/Keywords: end game problem; eigenvalue problems; homotopy continuation

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APA (6th Edition):

Chang, H. (2013). The End Game Problem in Solving Algebraic Eigenvalue Problems by Homotopy Continuation Method. (Thesis). NSYSU. Retrieved from http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0612113-133039

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

Chicago Manual of Style (16th Edition):

Chang, Hen-wen. “The End Game Problem in Solving Algebraic Eigenvalue Problems by Homotopy Continuation Method.” 2013. Thesis, NSYSU. Accessed April 22, 2021. http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0612113-133039.

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

MLA Handbook (7th Edition):

Chang, Hen-wen. “The End Game Problem in Solving Algebraic Eigenvalue Problems by Homotopy Continuation Method.” 2013. Web. 22 Apr 2021.

Vancouver:

Chang H. The End Game Problem in Solving Algebraic Eigenvalue Problems by Homotopy Continuation Method. [Internet] [Thesis]. NSYSU; 2013. [cited 2021 Apr 22]. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0612113-133039.

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

Council of Science Editors:

Chang H. The End Game Problem in Solving Algebraic Eigenvalue Problems by Homotopy Continuation Method. [Thesis]. NSYSU; 2013. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0612113-133039

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


University of New Mexico

2. Myers, Nicholas. An Sn Application of Homotopy Continuation in Neutral Particle Transport.

Degree: Nuclear Engineering, 2014, University of New Mexico

 The objective of this dissertation is to investigate the usefulness of homotopy continuation applied in the context of neutral particle transport where traditional methods of… (more)

Subjects/Keywords: Homotopy; Sn; Continuation; Transport; Eigenvalue; Diffusive

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APA (6th Edition):

Myers, N. (2014). An Sn Application of Homotopy Continuation in Neutral Particle Transport. (Doctoral Dissertation). University of New Mexico. Retrieved from http://hdl.handle.net/1928/24581

Chicago Manual of Style (16th Edition):

Myers, Nicholas. “An Sn Application of Homotopy Continuation in Neutral Particle Transport.” 2014. Doctoral Dissertation, University of New Mexico. Accessed April 22, 2021. http://hdl.handle.net/1928/24581.

MLA Handbook (7th Edition):

Myers, Nicholas. “An Sn Application of Homotopy Continuation in Neutral Particle Transport.” 2014. Web. 22 Apr 2021.

Vancouver:

Myers N. An Sn Application of Homotopy Continuation in Neutral Particle Transport. [Internet] [Doctoral dissertation]. University of New Mexico; 2014. [cited 2021 Apr 22]. Available from: http://hdl.handle.net/1928/24581.

Council of Science Editors:

Myers N. An Sn Application of Homotopy Continuation in Neutral Particle Transport. [Doctoral Dissertation]. University of New Mexico; 2014. Available from: http://hdl.handle.net/1928/24581


University of Arkansas

3. Hutchison, Brandon. A Restarted Homotopy Method for the Nonsymmetric Eigenvalue Problem.

Degree: PhD, 2011, University of Arkansas

  The eigenvalues and eigenvectors of a Hessenberg matrix, H, are computed with a combination of homotopy increments and the Arnoldi method. Given a set,… (more)

Subjects/Keywords: Arnoldi; Continuation; Eigenvalue; Homotopy; Applied Mathematics

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APA (6th Edition):

Hutchison, B. (2011). A Restarted Homotopy Method for the Nonsymmetric Eigenvalue Problem. (Doctoral Dissertation). University of Arkansas. Retrieved from https://scholarworks.uark.edu/etd/74

Chicago Manual of Style (16th Edition):

Hutchison, Brandon. “A Restarted Homotopy Method for the Nonsymmetric Eigenvalue Problem.” 2011. Doctoral Dissertation, University of Arkansas. Accessed April 22, 2021. https://scholarworks.uark.edu/etd/74.

MLA Handbook (7th Edition):

Hutchison, Brandon. “A Restarted Homotopy Method for the Nonsymmetric Eigenvalue Problem.” 2011. Web. 22 Apr 2021.

Vancouver:

Hutchison B. A Restarted Homotopy Method for the Nonsymmetric Eigenvalue Problem. [Internet] [Doctoral dissertation]. University of Arkansas; 2011. [cited 2021 Apr 22]. Available from: https://scholarworks.uark.edu/etd/74.

Council of Science Editors:

Hutchison B. A Restarted Homotopy Method for the Nonsymmetric Eigenvalue Problem. [Doctoral Dissertation]. University of Arkansas; 2011. Available from: https://scholarworks.uark.edu/etd/74


University of Toronto

4. Brown, David Anthony. Efficient Homotopy Continuation Algorithms with Application to Computational Fluid Dynamics.

Degree: PhD, 2016, University of Toronto

 New homotopy continuation algorithms are developed and applied to a parallel implicit finite-difference Newton-Krylov-Schur external aerodynamic flow solver for the compressible Euler, Navier-Stokes, and Reynolds-averaged… (more)

Subjects/Keywords: computational aerodynamics; continuation; globalization; homotopy; predictor-corrector; pseudo-transient continuation; 0538

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APA (6th Edition):

Brown, D. A. (2016). Efficient Homotopy Continuation Algorithms with Application to Computational Fluid Dynamics. (Doctoral Dissertation). University of Toronto. Retrieved from http://hdl.handle.net/1807/71729

Chicago Manual of Style (16th Edition):

Brown, David Anthony. “Efficient Homotopy Continuation Algorithms with Application to Computational Fluid Dynamics.” 2016. Doctoral Dissertation, University of Toronto. Accessed April 22, 2021. http://hdl.handle.net/1807/71729.

MLA Handbook (7th Edition):

Brown, David Anthony. “Efficient Homotopy Continuation Algorithms with Application to Computational Fluid Dynamics.” 2016. Web. 22 Apr 2021.

Vancouver:

Brown DA. Efficient Homotopy Continuation Algorithms with Application to Computational Fluid Dynamics. [Internet] [Doctoral dissertation]. University of Toronto; 2016. [cited 2021 Apr 22]. Available from: http://hdl.handle.net/1807/71729.

Council of Science Editors:

Brown DA. Efficient Homotopy Continuation Algorithms with Application to Computational Fluid Dynamics. [Doctoral Dissertation]. University of Toronto; 2016. Available from: http://hdl.handle.net/1807/71729

5. Viquerat, Andrew David. Polynomial continuation in the design of deployable structures.

Degree: PhD, 2012, University of Cambridge

 Polynomial continuation, a branch of numerical continuation, has been applied to several primary problems in kinematic geometry. The objective of the research presented in this… (more)

Subjects/Keywords: 6R Linkage; Deployable ring; Deployable structures; Numerical continuation; Overconstrained mechanism; Polyhedral homotopy; Polynomial continuation

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APA (6th Edition):

Viquerat, A. D. (2012). Polynomial continuation in the design of deployable structures. (Doctoral Dissertation). University of Cambridge. Retrieved from http://www.dspace.cam.ac.uk/handle/1810/241496https://www.repository.cam.ac.uk/bitstream/1810/241496/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241496/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/241496/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/241496/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/241496/8/ThesisDSpace.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241496/9/ThesisDSpace.pdf.jpg

Chicago Manual of Style (16th Edition):

Viquerat, Andrew David. “Polynomial continuation in the design of deployable structures.” 2012. Doctoral Dissertation, University of Cambridge. Accessed April 22, 2021. http://www.dspace.cam.ac.uk/handle/1810/241496https://www.repository.cam.ac.uk/bitstream/1810/241496/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241496/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/241496/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/241496/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/241496/8/ThesisDSpace.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241496/9/ThesisDSpace.pdf.jpg.

MLA Handbook (7th Edition):

Viquerat, Andrew David. “Polynomial continuation in the design of deployable structures.” 2012. Web. 22 Apr 2021.

Vancouver:

Viquerat AD. Polynomial continuation in the design of deployable structures. [Internet] [Doctoral dissertation]. University of Cambridge; 2012. [cited 2021 Apr 22]. Available from: http://www.dspace.cam.ac.uk/handle/1810/241496https://www.repository.cam.ac.uk/bitstream/1810/241496/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241496/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/241496/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/241496/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/241496/8/ThesisDSpace.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241496/9/ThesisDSpace.pdf.jpg.

Council of Science Editors:

Viquerat AD. Polynomial continuation in the design of deployable structures. [Doctoral Dissertation]. University of Cambridge; 2012. Available from: http://www.dspace.cam.ac.uk/handle/1810/241496https://www.repository.cam.ac.uk/bitstream/1810/241496/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241496/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/241496/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/241496/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/241496/8/ThesisDSpace.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241496/9/ThesisDSpace.pdf.jpg


University of Cambridge

6. Viquerat, Andrew David. Polynomial continuation in the design of deployable structures.

Degree: PhD, 2012, University of Cambridge

 Polynomial continuation, a branch of numerical continuation, has been applied to several primary problems in kinematic geometry. The objective of the research presented in this… (more)

Subjects/Keywords: 624.1; 6R Linkage; Deployable ring; Deployable structures; Numerical continuation; Overconstrained mechanism; Polyhedral homotopy; Polynomial continuation

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

APA (6th Edition):

Viquerat, A. D. (2012). Polynomial continuation in the design of deployable structures. (Doctoral Dissertation). University of Cambridge. Retrieved from https://doi.org/10.17863/CAM.14012 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.545890

Chicago Manual of Style (16th Edition):

Viquerat, Andrew David. “Polynomial continuation in the design of deployable structures.” 2012. Doctoral Dissertation, University of Cambridge. Accessed April 22, 2021. https://doi.org/10.17863/CAM.14012 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.545890.

MLA Handbook (7th Edition):

Viquerat, Andrew David. “Polynomial continuation in the design of deployable structures.” 2012. Web. 22 Apr 2021.

Vancouver:

Viquerat AD. Polynomial continuation in the design of deployable structures. [Internet] [Doctoral dissertation]. University of Cambridge; 2012. [cited 2021 Apr 22]. Available from: https://doi.org/10.17863/CAM.14012 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.545890.

Council of Science Editors:

Viquerat AD. Polynomial continuation in the design of deployable structures. [Doctoral Dissertation]. University of Cambridge; 2012. Available from: https://doi.org/10.17863/CAM.14012 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.545890


University of Alberta

7. Bondy, Ronald William. Distillation simulation using physical homotopies.

Degree: MS, Department of Chemical Engineering, 1988, University of Alberta

Subjects/Keywords: Analytic continuation.; Homotopy theory.; Distillation.

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APA (6th Edition):

Bondy, R. W. (1988). Distillation simulation using physical homotopies. (Masters Thesis). University of Alberta. Retrieved from https://era.library.ualberta.ca/files/2z10ws57g

Chicago Manual of Style (16th Edition):

Bondy, Ronald William. “Distillation simulation using physical homotopies.” 1988. Masters Thesis, University of Alberta. Accessed April 22, 2021. https://era.library.ualberta.ca/files/2z10ws57g.

MLA Handbook (7th Edition):

Bondy, Ronald William. “Distillation simulation using physical homotopies.” 1988. Web. 22 Apr 2021.

Vancouver:

Bondy RW. Distillation simulation using physical homotopies. [Internet] [Masters thesis]. University of Alberta; 1988. [cited 2021 Apr 22]. Available from: https://era.library.ualberta.ca/files/2z10ws57g.

Council of Science Editors:

Bondy RW. Distillation simulation using physical homotopies. [Masters Thesis]. University of Alberta; 1988. Available from: https://era.library.ualberta.ca/files/2z10ws57g


NSYSU

8. Chen, Ying-ren. Parallel Computing for Solving the Power Flow Equations.

Degree: Master, Applied Mathematics, 2017, NSYSU

 The power flow equations are an important part of the power system analysis. It describes the status of nodes in an electrical grid. A grid… (more)

Subjects/Keywords: Power flow equations; homotopy continuation method; parallel computing; Newtonâs iteration method

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APA (6th Edition):

Chen, Y. (2017). Parallel Computing for Solving the Power Flow Equations. (Thesis). NSYSU. Retrieved from http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0707117-160535

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

Chicago Manual of Style (16th Edition):

Chen, Ying-ren. “Parallel Computing for Solving the Power Flow Equations.” 2017. Thesis, NSYSU. Accessed April 22, 2021. http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0707117-160535.

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

MLA Handbook (7th Edition):

Chen, Ying-ren. “Parallel Computing for Solving the Power Flow Equations.” 2017. Web. 22 Apr 2021.

Vancouver:

Chen Y. Parallel Computing for Solving the Power Flow Equations. [Internet] [Thesis]. NSYSU; 2017. [cited 2021 Apr 22]. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0707117-160535.

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

Council of Science Editors:

Chen Y. Parallel Computing for Solving the Power Flow Equations. [Thesis]. NSYSU; 2017. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0707117-160535

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


Colorado State University

9. Brake, Daniel Abram. Homotopy continuation methods, intrinsic localized modes, and cooperative robotic workspaces.

Degree: PhD, Mathematics, 2012, Colorado State University

 This dissertation considers three topics that are united by the theme of application of geometric and nonlinear mechanics to practical problems. Firstly we consider the… (more)

Subjects/Keywords: sensors; homotopy continuation; intrinsic localized mode; kinematics; parallel computing; robotics

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APA (6th Edition):

Brake, D. A. (2012). Homotopy continuation methods, intrinsic localized modes, and cooperative robotic workspaces. (Doctoral Dissertation). Colorado State University. Retrieved from http://hdl.handle.net/10217/71548

Chicago Manual of Style (16th Edition):

Brake, Daniel Abram. “Homotopy continuation methods, intrinsic localized modes, and cooperative robotic workspaces.” 2012. Doctoral Dissertation, Colorado State University. Accessed April 22, 2021. http://hdl.handle.net/10217/71548.

MLA Handbook (7th Edition):

Brake, Daniel Abram. “Homotopy continuation methods, intrinsic localized modes, and cooperative robotic workspaces.” 2012. Web. 22 Apr 2021.

Vancouver:

Brake DA. Homotopy continuation methods, intrinsic localized modes, and cooperative robotic workspaces. [Internet] [Doctoral dissertation]. Colorado State University; 2012. [cited 2021 Apr 22]. Available from: http://hdl.handle.net/10217/71548.

Council of Science Editors:

Brake DA. Homotopy continuation methods, intrinsic localized modes, and cooperative robotic workspaces. [Doctoral Dissertation]. Colorado State University; 2012. Available from: http://hdl.handle.net/10217/71548


Colorado State University

10. Ihde, Steven L. Preconditioning polynomial systems for homotopy continuation.

Degree: MS(M.S.), Mathematics, 2011, Colorado State University

 Polynomial systems are ubiquitous in today's scientific world. These systems need to be solved quickly and efficiently. One key solution method comes from Numerical Algebraic… (more)

Subjects/Keywords: dual basis; polynomial systems; numerical algebraic geometry; homotopy continuation; H-basis

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APA (6th Edition):

Ihde, S. L. (2011). Preconditioning polynomial systems for homotopy continuation. (Masters Thesis). Colorado State University. Retrieved from http://hdl.handle.net/10217/51875

Chicago Manual of Style (16th Edition):

Ihde, Steven L. “Preconditioning polynomial systems for homotopy continuation.” 2011. Masters Thesis, Colorado State University. Accessed April 22, 2021. http://hdl.handle.net/10217/51875.

MLA Handbook (7th Edition):

Ihde, Steven L. “Preconditioning polynomial systems for homotopy continuation.” 2011. Web. 22 Apr 2021.

Vancouver:

Ihde SL. Preconditioning polynomial systems for homotopy continuation. [Internet] [Masters thesis]. Colorado State University; 2011. [cited 2021 Apr 22]. Available from: http://hdl.handle.net/10217/51875.

Council of Science Editors:

Ihde SL. Preconditioning polynomial systems for homotopy continuation. [Masters Thesis]. Colorado State University; 2011. Available from: http://hdl.handle.net/10217/51875


Missouri University of Science and Technology

11. Mills, Thomas Karl. Identifying multiple steady states in the design of reactive distillation processes.

Degree: PhD, Chemical Engineering, Missouri University of Science and Technology

 "Global homotopy continuation is used to identify multiple steady states in ideal reactive flash and reactive distillation systems involving a reaction of the form A+B… (more)

Subjects/Keywords: Global homotopy continuation; Chemical Engineering

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APA (6th Edition):

Mills, T. K. (n.d.). Identifying multiple steady states in the design of reactive distillation processes. (Doctoral Dissertation). Missouri University of Science and Technology. Retrieved from https://scholarsmine.mst.edu/doctoral_dissertations/2190

Note: this citation may be lacking information needed for this citation format:
No year of publication.

Chicago Manual of Style (16th Edition):

Mills, Thomas Karl. “Identifying multiple steady states in the design of reactive distillation processes.” Doctoral Dissertation, Missouri University of Science and Technology. Accessed April 22, 2021. https://scholarsmine.mst.edu/doctoral_dissertations/2190.

Note: this citation may be lacking information needed for this citation format:
No year of publication.

MLA Handbook (7th Edition):

Mills, Thomas Karl. “Identifying multiple steady states in the design of reactive distillation processes.” Web. 22 Apr 2021.

Note: this citation may be lacking information needed for this citation format:
No year of publication.

Vancouver:

Mills TK. Identifying multiple steady states in the design of reactive distillation processes. [Internet] [Doctoral dissertation]. Missouri University of Science and Technology; [cited 2021 Apr 22]. Available from: https://scholarsmine.mst.edu/doctoral_dissertations/2190.

Note: this citation may be lacking information needed for this citation format:
No year of publication.

Council of Science Editors:

Mills TK. Identifying multiple steady states in the design of reactive distillation processes. [Doctoral Dissertation]. Missouri University of Science and Technology; Available from: https://scholarsmine.mst.edu/doctoral_dissertations/2190

Note: this citation may be lacking information needed for this citation format:
No year of publication.


University of Oulu

12. Tanskanen, J. P. (Juha P.). Phenomenon driven process design:focus on multicomponent reactive and ordinary distillation.

Degree: 1999, University of Oulu

 Abstract This thesis describes part of the work that has been done in the Chemical Process Engineering Laboratory of the University of Oulu to systematize… (more)

Subjects/Keywords: design methodology; homotopy continuation; minimum reflux

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APA (6th Edition):

Tanskanen, J. P. (. P. ). (1999). Phenomenon driven process design:focus on multicomponent reactive and ordinary distillation. (Doctoral Dissertation). University of Oulu. Retrieved from http://urn.fi/urn:isbn:9514251458

Chicago Manual of Style (16th Edition):

Tanskanen, J P (Juha P ). “Phenomenon driven process design:focus on multicomponent reactive and ordinary distillation.” 1999. Doctoral Dissertation, University of Oulu. Accessed April 22, 2021. http://urn.fi/urn:isbn:9514251458.

MLA Handbook (7th Edition):

Tanskanen, J P (Juha P ). “Phenomenon driven process design:focus on multicomponent reactive and ordinary distillation.” 1999. Web. 22 Apr 2021.

Vancouver:

Tanskanen JP(P). Phenomenon driven process design:focus on multicomponent reactive and ordinary distillation. [Internet] [Doctoral dissertation]. University of Oulu; 1999. [cited 2021 Apr 22]. Available from: http://urn.fi/urn:isbn:9514251458.

Council of Science Editors:

Tanskanen JP(P). Phenomenon driven process design:focus on multicomponent reactive and ordinary distillation. [Doctoral Dissertation]. University of Oulu; 1999. Available from: http://urn.fi/urn:isbn:9514251458


University of Illinois – Chicago

13. Bliss, Nathan R. Computing Series Expansions of Algebraic Space Curves.

Degree: 2018, University of Illinois – Chicago

 We work towards a series-based computational approach for polynomial systems having positive-dimensional solution sets. The tropical variety gives information on the exponents of the leading… (more)

Subjects/Keywords: computational algebraic geometry; puiseux series; gauss-newton algorithm; tropical geometry; polynomial systems; homotopy continuation

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APA (6th Edition):

Bliss, N. R. (2018). Computing Series Expansions of Algebraic Space Curves. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/22682

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

Chicago Manual of Style (16th Edition):

Bliss, Nathan R. “Computing Series Expansions of Algebraic Space Curves.” 2018. Thesis, University of Illinois – Chicago. Accessed April 22, 2021. http://hdl.handle.net/10027/22682.

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

MLA Handbook (7th Edition):

Bliss, Nathan R. “Computing Series Expansions of Algebraic Space Curves.” 2018. Web. 22 Apr 2021.

Vancouver:

Bliss NR. Computing Series Expansions of Algebraic Space Curves. [Internet] [Thesis]. University of Illinois – Chicago; 2018. [cited 2021 Apr 22]. Available from: http://hdl.handle.net/10027/22682.

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

Council of Science Editors:

Bliss NR. Computing Series Expansions of Algebraic Space Curves. [Thesis]. University of Illinois – Chicago; 2018. Available from: http://hdl.handle.net/10027/22682

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


University of Notre Dame

14. Timothy M McCoy. Mesh-Expanding Homotopies and Numerical Irreducible Decomposition Over a Number Field</h1>.

Degree: Applied and Computational Mathematics and Statistics, 2014, University of Notre Dame

  Algorithms from the field of numerical algebraic geometry provide robust means to compute all isolated solutions of arbitrary systems of polynomials and to give… (more)

Subjects/Keywords: algebraic computation; numerical algebraic geometry; homotopy continuation; computational mathematics; polynomial systems; boundary value problems

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APA (6th Edition):

McCoy, T. M. (2014). Mesh-Expanding Homotopies and Numerical Irreducible Decomposition Over a Number Field</h1>. (Thesis). University of Notre Dame. Retrieved from https://curate.nd.edu/show/6395w66528z

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

Chicago Manual of Style (16th Edition):

McCoy, Timothy M. “Mesh-Expanding Homotopies and Numerical Irreducible Decomposition Over a Number Field</h1>.” 2014. Thesis, University of Notre Dame. Accessed April 22, 2021. https://curate.nd.edu/show/6395w66528z.

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

MLA Handbook (7th Edition):

McCoy, Timothy M. “Mesh-Expanding Homotopies and Numerical Irreducible Decomposition Over a Number Field</h1>.” 2014. Web. 22 Apr 2021.

Vancouver:

McCoy TM. Mesh-Expanding Homotopies and Numerical Irreducible Decomposition Over a Number Field</h1>. [Internet] [Thesis]. University of Notre Dame; 2014. [cited 2021 Apr 22]. Available from: https://curate.nd.edu/show/6395w66528z.

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

Council of Science Editors:

McCoy TM. Mesh-Expanding Homotopies and Numerical Irreducible Decomposition Over a Number Field</h1>. [Thesis]. University of Notre Dame; 2014. Available from: https://curate.nd.edu/show/6395w66528z

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


University of Waterloo

15. Vu, Thi Xuan. Homotopy algorithms for solving structured determinantal systems.

Degree: 2020, University of Waterloo

 Multivariate polynomial systems arising in numerous applications have special structures. In particular, determinantal structures and invariant systems appear in a wide range of applications such… (more)

Subjects/Keywords: symbolic computation; polynomial systems solving; symbolic homotopy continuation; determinantal systems; invariant algebraic systems

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APA (6th Edition):

Vu, T. X. (2020). Homotopy algorithms for solving structured determinantal systems. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/16566

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

Chicago Manual of Style (16th Edition):

Vu, Thi Xuan. “Homotopy algorithms for solving structured determinantal systems.” 2020. Thesis, University of Waterloo. Accessed April 22, 2021. http://hdl.handle.net/10012/16566.

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

MLA Handbook (7th Edition):

Vu, Thi Xuan. “Homotopy algorithms for solving structured determinantal systems.” 2020. Web. 22 Apr 2021.

Vancouver:

Vu TX. Homotopy algorithms for solving structured determinantal systems. [Internet] [Thesis]. University of Waterloo; 2020. [cited 2021 Apr 22]. Available from: http://hdl.handle.net/10012/16566.

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

Council of Science Editors:

Vu TX. Homotopy algorithms for solving structured determinantal systems. [Thesis]. University of Waterloo; 2020. Available from: http://hdl.handle.net/10012/16566

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


University of Texas – Austin

16. Gulino, Marco. A homotopic approach to solve the fuel optimal spacecraft proximity operations problem.

Degree: MSin Engineering, Aerospace Engineering, 2017, University of Texas – Austin

 This report focuses on finding the low-thrust fuel optimal solution to a class of spacecraft proximity operations subject to path constraints. The mission is for… (more)

Subjects/Keywords: Fuel optimal; Proximity operations; Clohessy-Wiltshire; Guidance; Optimal control; Homotopy; Stabilized continuation

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APA (6th Edition):

Gulino, M. (2017). A homotopic approach to solve the fuel optimal spacecraft proximity operations problem. (Masters Thesis). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/60385

Chicago Manual of Style (16th Edition):

Gulino, Marco. “A homotopic approach to solve the fuel optimal spacecraft proximity operations problem.” 2017. Masters Thesis, University of Texas – Austin. Accessed April 22, 2021. http://hdl.handle.net/2152/60385.

MLA Handbook (7th Edition):

Gulino, Marco. “A homotopic approach to solve the fuel optimal spacecraft proximity operations problem.” 2017. Web. 22 Apr 2021.

Vancouver:

Gulino M. A homotopic approach to solve the fuel optimal spacecraft proximity operations problem. [Internet] [Masters thesis]. University of Texas – Austin; 2017. [cited 2021 Apr 22]. Available from: http://hdl.handle.net/2152/60385.

Council of Science Editors:

Gulino M. A homotopic approach to solve the fuel optimal spacecraft proximity operations problem. [Masters Thesis]. University of Texas – Austin; 2017. Available from: http://hdl.handle.net/2152/60385


Michigan State University

17. Chen, Tianran. Projective path tracking for homotopy continuation method.

Degree: 2012, Michigan State University

Thesis Ph. D. Michigan State University, Applied Mathematics 2012.

Solving systems of polynomial equations is an important problem in mathematics with a wide range of… (more)

Subjects/Keywords: Homotopy theory; Analytic functions; Analytic continuation; Polynomials; Equations – Numerical solutions; Geometry, Riemannian; Applied mathematics

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APA (6th Edition):

Chen, T. (2012). Projective path tracking for homotopy continuation method. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:126

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

Chicago Manual of Style (16th Edition):

Chen, Tianran. “Projective path tracking for homotopy continuation method.” 2012. Thesis, Michigan State University. Accessed April 22, 2021. http://etd.lib.msu.edu/islandora/object/etd:126.

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

MLA Handbook (7th Edition):

Chen, Tianran. “Projective path tracking for homotopy continuation method.” 2012. Web. 22 Apr 2021.

Vancouver:

Chen T. Projective path tracking for homotopy continuation method. [Internet] [Thesis]. Michigan State University; 2012. [cited 2021 Apr 22]. Available from: http://etd.lib.msu.edu/islandora/object/etd:126.

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

Council of Science Editors:

Chen T. Projective path tracking for homotopy continuation method. [Thesis]. Michigan State University; 2012. Available from: http://etd.lib.msu.edu/islandora/object/etd:126

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

18. Imbach, Rémi. Résolution de contraintes géométriques en guidant une méthode homotopique par la géométrie : Solving geometric constraints by a continuation method led by geometry.

Degree: Docteur es, Informatique, 2013, Université de Strasbourg

Suivant le domaine où on les sollicite, les solutions d’un système de contraintes géométriques (SCG) peuvent être : – formelles et exactes : elles prennent… (more)

Subjects/Keywords: Résolution de contraintes géométriques; Méthodes par continuation; Homotopie; Méthodes Hybrides; Modélisation géométrique; Geometric constraints solving; Continuation methods; Homotopy; Hybrid methods; Geometric modeling; 514.2

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APA (6th Edition):

Imbach, R. (2013). Résolution de contraintes géométriques en guidant une méthode homotopique par la géométrie : Solving geometric constraints by a continuation method led by geometry. (Doctoral Dissertation). Université de Strasbourg. Retrieved from http://www.theses.fr/2013STRAD033

Chicago Manual of Style (16th Edition):

Imbach, Rémi. “Résolution de contraintes géométriques en guidant une méthode homotopique par la géométrie : Solving geometric constraints by a continuation method led by geometry.” 2013. Doctoral Dissertation, Université de Strasbourg. Accessed April 22, 2021. http://www.theses.fr/2013STRAD033.

MLA Handbook (7th Edition):

Imbach, Rémi. “Résolution de contraintes géométriques en guidant une méthode homotopique par la géométrie : Solving geometric constraints by a continuation method led by geometry.” 2013. Web. 22 Apr 2021.

Vancouver:

Imbach R. Résolution de contraintes géométriques en guidant une méthode homotopique par la géométrie : Solving geometric constraints by a continuation method led by geometry. [Internet] [Doctoral dissertation]. Université de Strasbourg; 2013. [cited 2021 Apr 22]. Available from: http://www.theses.fr/2013STRAD033.

Council of Science Editors:

Imbach R. Résolution de contraintes géométriques en guidant une méthode homotopique par la géométrie : Solving geometric constraints by a continuation method led by geometry. [Doctoral Dissertation]. Université de Strasbourg; 2013. Available from: http://www.theses.fr/2013STRAD033


University of Notre Dame

19. Daniel James Bates. Theory and Applications in Numerical Algebraic Geometry</h1>.

Degree: Mathematics, 2006, University of Notre Dame

Homotopy continuation techniques may be used to approximate all isolated solutions of a polynomial system. More recent methods which form the crux of the… (more)

Subjects/Keywords: path tracking; numerical algebraic geometry; Bertini; homotopy continuation

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APA (6th Edition):

Bates, D. J. (2006). Theory and Applications in Numerical Algebraic Geometry</h1>. (Thesis). University of Notre Dame. Retrieved from https://curate.nd.edu/show/sj13902265k

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

Chicago Manual of Style (16th Edition):

Bates, Daniel James. “Theory and Applications in Numerical Algebraic Geometry</h1>.” 2006. Thesis, University of Notre Dame. Accessed April 22, 2021. https://curate.nd.edu/show/sj13902265k.

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

MLA Handbook (7th Edition):

Bates, Daniel James. “Theory and Applications in Numerical Algebraic Geometry</h1>.” 2006. Web. 22 Apr 2021.

Vancouver:

Bates DJ. Theory and Applications in Numerical Algebraic Geometry</h1>. [Internet] [Thesis]. University of Notre Dame; 2006. [cited 2021 Apr 22]. Available from: https://curate.nd.edu/show/sj13902265k.

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

Council of Science Editors:

Bates DJ. Theory and Applications in Numerical Algebraic Geometry</h1>. [Thesis]. University of Notre Dame; 2006. Available from: https://curate.nd.edu/show/sj13902265k

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

20. Bradley, Nicholas Ethan. Initial guess and optimization strategies for multi-body space trajectories with application to free return trajectories to near-Earth asteroids.

Degree: PhD, Aerospace Engineering, 2014, University of Texas – Austin

 This concept of calculating, optimizing, and utilizing a trajectory known as a ``Free Return Trajectory" to facilitate spacecraft rendezvous with Near-Earth Asteroids is presented in… (more)

Subjects/Keywords: Free return; Trajectory; Asteroid; Near-Earth asteroid; NEA; Continuation; Homotopy; optimization; Initial guess; FRT; Interplanetary; Tour; Rendezvous; Abort; Orbit; CRTBP; Resonance

Page 1 Page 2 Page 3 Page 4 Page 5 Page 6 Page 7

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APA (6th Edition):

Bradley, N. E. (2014). Initial guess and optimization strategies for multi-body space trajectories with application to free return trajectories to near-Earth asteroids. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/26858

Chicago Manual of Style (16th Edition):

Bradley, Nicholas Ethan. “Initial guess and optimization strategies for multi-body space trajectories with application to free return trajectories to near-Earth asteroids.” 2014. Doctoral Dissertation, University of Texas – Austin. Accessed April 22, 2021. http://hdl.handle.net/2152/26858.

MLA Handbook (7th Edition):

Bradley, Nicholas Ethan. “Initial guess and optimization strategies for multi-body space trajectories with application to free return trajectories to near-Earth asteroids.” 2014. Web. 22 Apr 2021.

Vancouver:

Bradley NE. Initial guess and optimization strategies for multi-body space trajectories with application to free return trajectories to near-Earth asteroids. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2014. [cited 2021 Apr 22]. Available from: http://hdl.handle.net/2152/26858.

Council of Science Editors:

Bradley NE. Initial guess and optimization strategies for multi-body space trajectories with application to free return trajectories to near-Earth asteroids. [Doctoral Dissertation]. University of Texas – Austin; 2014. Available from: http://hdl.handle.net/2152/26858


Michigan State University

21. Mohseni Moghadam, Mahmoud. Homotopy continuation method for nonlinear equations.

Degree: PhD, Department of Mathematics, 1984, Michigan State University

Subjects/Keywords: Homotopy theory; Analytic functions; Analytic continuation; Differential equations, Nonlinear – Numerical solutions

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APA (6th Edition):

Mohseni Moghadam, M. (1984). Homotopy continuation method for nonlinear equations. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:41285

Chicago Manual of Style (16th Edition):

Mohseni Moghadam, Mahmoud. “Homotopy continuation method for nonlinear equations.” 1984. Doctoral Dissertation, Michigan State University. Accessed April 22, 2021. http://etd.lib.msu.edu/islandora/object/etd:41285.

MLA Handbook (7th Edition):

Mohseni Moghadam, Mahmoud. “Homotopy continuation method for nonlinear equations.” 1984. Web. 22 Apr 2021.

Vancouver:

Mohseni Moghadam M. Homotopy continuation method for nonlinear equations. [Internet] [Doctoral dissertation]. Michigan State University; 1984. [cited 2021 Apr 22]. Available from: http://etd.lib.msu.edu/islandora/object/etd:41285.

Council of Science Editors:

Mohseni Moghadam M. Homotopy continuation method for nonlinear equations. [Doctoral Dissertation]. Michigan State University; 1984. Available from: http://etd.lib.msu.edu/islandora/object/etd:41285


University of Southern California

22. Kobilarov, Marin. Discrete geometric motion control of autonomous vehicles.

Degree: PhD, Computer Science (Robotics & Automation), 2008, University of Southern California

 The goal of this work is to develop methods to optimally control autonomous robotic vehicles in natural environments. The main contribution is the derivation of… (more)

Subjects/Keywords: robotics; motion planning; discrete mechanics; optimal control; probabilistic roadmap; homotopy; continuation

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APA (6th Edition):

Kobilarov, M. (2008). Discrete geometric motion control of autonomous vehicles. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/109355/rec/2035

Chicago Manual of Style (16th Edition):

Kobilarov, Marin. “Discrete geometric motion control of autonomous vehicles.” 2008. Doctoral Dissertation, University of Southern California. Accessed April 22, 2021. http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/109355/rec/2035.

MLA Handbook (7th Edition):

Kobilarov, Marin. “Discrete geometric motion control of autonomous vehicles.” 2008. Web. 22 Apr 2021.

Vancouver:

Kobilarov M. Discrete geometric motion control of autonomous vehicles. [Internet] [Doctoral dissertation]. University of Southern California; 2008. [cited 2021 Apr 22]. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/109355/rec/2035.

Council of Science Editors:

Kobilarov M. Discrete geometric motion control of autonomous vehicles. [Doctoral Dissertation]. University of Southern California; 2008. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll127/id/109355/rec/2035

23. Mobahi, Hossein. Optimization by Gaussian smoothing with application to geometric alignment.

Degree: PhD, 0112, 2013, University of Illinois – Urbana-Champaign

 It is well-known that global optimization of a nonconvex function, in general, is computationally intractable. Nevertheless, many objective functions that we need to optimize may… (more)

Subjects/Keywords: Nonconvex Optimization; Homotopy Continuation; Image Alignment; Point Cloud Alignment; Coarse-to-fine Optimization

…INTRODUCTION 1.1 Nonconvex Optimization . 1.2 Homotopy Continuation . 1.3 Smoothing… …continuation or homotopy continuation method. The idea is to somehow simplify the original… …reviewed in the rest of this chapter. 1.2 Homotopy Continuation Continuation is a well… …problem that involves a function f : X → Y. Homotopy continuation method embeds f (x)… …x5B;9], optimization by homotopy continuation [10], deterministic annealing… 

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APA (6th Edition):

Mobahi, H. (2013). Optimization by Gaussian smoothing with application to geometric alignment. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/42330

Chicago Manual of Style (16th Edition):

Mobahi, Hossein. “Optimization by Gaussian smoothing with application to geometric alignment.” 2013. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed April 22, 2021. http://hdl.handle.net/2142/42330.

MLA Handbook (7th Edition):

Mobahi, Hossein. “Optimization by Gaussian smoothing with application to geometric alignment.” 2013. Web. 22 Apr 2021.

Vancouver:

Mobahi H. Optimization by Gaussian smoothing with application to geometric alignment. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2013. [cited 2021 Apr 22]. Available from: http://hdl.handle.net/2142/42330.

Council of Science Editors:

Mobahi H. Optimization by Gaussian smoothing with application to geometric alignment. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2013. Available from: http://hdl.handle.net/2142/42330

24. Kileel, Joseph David. Algebraic Geometry for Computer Vision.

Degree: Mathematics, 2017, University of California – Berkeley

 This thesis uses tools from algebraic geometry to solve problems about three-dimensional scene reconstruction. 3D reconstruction is a fundamental task in multiview geometry, a field… (more)

Subjects/Keywords: Mathematics; Algebraic geometry; Chow form; Commutative algebra; Computer vision; Homotopy continuation; Minimal problems

…geometry [11]. • We contribute general-purpose homotopy-continuation software for… 

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APA (6th Edition):

Kileel, J. D. (2017). Algebraic Geometry for Computer Vision. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/1mj041cc

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

Chicago Manual of Style (16th Edition):

Kileel, Joseph David. “Algebraic Geometry for Computer Vision.” 2017. Thesis, University of California – Berkeley. Accessed April 22, 2021. http://www.escholarship.org/uc/item/1mj041cc.

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

MLA Handbook (7th Edition):

Kileel, Joseph David. “Algebraic Geometry for Computer Vision.” 2017. Web. 22 Apr 2021.

Vancouver:

Kileel JD. Algebraic Geometry for Computer Vision. [Internet] [Thesis]. University of California – Berkeley; 2017. [cited 2021 Apr 22]. Available from: http://www.escholarship.org/uc/item/1mj041cc.

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

Council of Science Editors:

Kileel JD. Algebraic Geometry for Computer Vision. [Thesis]. University of California – Berkeley; 2017. Available from: http://www.escholarship.org/uc/item/1mj041cc

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


University of South Florida

25. Patel, Keyurkumar S. Automatic generation of global phase equilibrium diagram from equation of state.

Degree: 2007, University of South Florida

 A computational tool that uses an automated and reliable procedure for systematic generation of global phase equilibrium diagram (GPED) is developed for binary system using… (more)

Subjects/Keywords: Automatic differentiation; Homotopy continuation; Critical point; Phase stability; Mathematical modeling; American Studies; Arts and Humanities

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APA (6th Edition):

Patel, K. S. (2007). Automatic generation of global phase equilibrium diagram from equation of state. (Thesis). University of South Florida. Retrieved from https://scholarcommons.usf.edu/etd/2318

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

Chicago Manual of Style (16th Edition):

Patel, Keyurkumar S. “Automatic generation of global phase equilibrium diagram from equation of state.” 2007. Thesis, University of South Florida. Accessed April 22, 2021. https://scholarcommons.usf.edu/etd/2318.

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

MLA Handbook (7th Edition):

Patel, Keyurkumar S. “Automatic generation of global phase equilibrium diagram from equation of state.” 2007. Web. 22 Apr 2021.

Vancouver:

Patel KS. Automatic generation of global phase equilibrium diagram from equation of state. [Internet] [Thesis]. University of South Florida; 2007. [cited 2021 Apr 22]. Available from: https://scholarcommons.usf.edu/etd/2318.

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

Council of Science Editors:

Patel KS. Automatic generation of global phase equilibrium diagram from equation of state. [Thesis]. University of South Florida; 2007. Available from: https://scholarcommons.usf.edu/etd/2318

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

26. Hodges, Timothy E. Avoiding singularities during homotopy continuation.

Degree: PhD, Mathematics, 2017, Colorado State University

 In numerical algebraic geometry, the goal is to find solutions to a polynomial system F(x1,x2,...xn). This is done through a process called homotopy continuation. During… (more)

Subjects/Keywords: branch points; numerical algebraic geometry; software development; homotopy continuation; Bertini; ramification points

…moving to a modern geometric method, homotopy continuation. We reduce the notation of z1 , z2… …continuation. 1.3. HOMOTOPY CONTINUATION Homotopy continuation is a technique for approximating… …are the solutions the start system, F(z; p0 ) = 0 In basic homotopy continuation… …continuation, see [10, 34]. What can go wrong during homotopy continuation? There may be… …encounter a singularity. 0 t 1 Figure 1.2. A 3-D depiction of homotopy continuation. The… 

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APA (6th Edition):

Hodges, T. E. (2017). Avoiding singularities during homotopy continuation. (Doctoral Dissertation). Colorado State University. Retrieved from http://hdl.handle.net/10217/181397

Chicago Manual of Style (16th Edition):

Hodges, Timothy E. “Avoiding singularities during homotopy continuation.” 2017. Doctoral Dissertation, Colorado State University. Accessed April 22, 2021. http://hdl.handle.net/10217/181397.

MLA Handbook (7th Edition):

Hodges, Timothy E. “Avoiding singularities during homotopy continuation.” 2017. Web. 22 Apr 2021.

Vancouver:

Hodges TE. Avoiding singularities during homotopy continuation. [Internet] [Doctoral dissertation]. Colorado State University; 2017. [cited 2021 Apr 22]. Available from: http://hdl.handle.net/10217/181397.

Council of Science Editors:

Hodges TE. Avoiding singularities during homotopy continuation. [Doctoral Dissertation]. Colorado State University; 2017. Available from: http://hdl.handle.net/10217/181397

27. Elgohary, Tarek A. Novel Computational and Analytic Techniques for Nonlinear Systems Applied to Structural and Celestial Mechanics.

Degree: PhD, Aerospace Engineering, 2015, Texas A&M University

 In this Dissertation, computational and analytic methods are presented to address nonlinear systems with applications in structural and celestial mechanics. Scalar Homotopy Methods (SHM) are… (more)

Subjects/Keywords: Nonlinear Algebraic Equations; Post-Buckling; Scalar Homotopy Method; Satellite Geodesy; Hybrid Systems Structural Dynamics; Analytic Transfer Functions; Leibniz Rule; Analytic Continuation; Optimal Control; Collocation; Radial Basis Functions; Implicit Methods; Explicit Methods; Numerical Integration

…9 2.2 Homotopy Path Turning Points . . . . . . . . . . . . . . . . . . . . . 12 2.3… …22 Vertical Deflection vs. No. Iterations, l sin β = 0.32, Scalar Fixedpoint Homotopy… …23 2.11 Vertical Deflection vs. No. Iterations, l sin β = 0.44, Scalar Fixedpoint Homotopy… …32 2.17 Residual Error in Scalar Fixed-point Homotopy Method, [29] . . . . . 33… …2.9 ix 2.18 Residual Error in Scalar Newton Homotopy Method, [29]… 

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APA (6th Edition):

Elgohary, T. A. (2015). Novel Computational and Analytic Techniques for Nonlinear Systems Applied to Structural and Celestial Mechanics. (Doctoral Dissertation). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/155254

Chicago Manual of Style (16th Edition):

Elgohary, Tarek A. “Novel Computational and Analytic Techniques for Nonlinear Systems Applied to Structural and Celestial Mechanics.” 2015. Doctoral Dissertation, Texas A&M University. Accessed April 22, 2021. http://hdl.handle.net/1969.1/155254.

MLA Handbook (7th Edition):

Elgohary, Tarek A. “Novel Computational and Analytic Techniques for Nonlinear Systems Applied to Structural and Celestial Mechanics.” 2015. Web. 22 Apr 2021.

Vancouver:

Elgohary TA. Novel Computational and Analytic Techniques for Nonlinear Systems Applied to Structural and Celestial Mechanics. [Internet] [Doctoral dissertation]. Texas A&M University; 2015. [cited 2021 Apr 22]. Available from: http://hdl.handle.net/1969.1/155254.

Council of Science Editors:

Elgohary TA. Novel Computational and Analytic Techniques for Nonlinear Systems Applied to Structural and Celestial Mechanics. [Doctoral Dissertation]. Texas A&M University; 2015. Available from: http://hdl.handle.net/1969.1/155254

.