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University of Cambridge

1. Webb, Marcus David. Isospectral algorithms, Toeplitz matrices and orthogonal polynomials .

Degree: 2017, University of Cambridge

URL: https://www.repository.cam.ac.uk/handle/1810/264149

► An isospectral *algorithm* is one which manipulates a matrix without changing its spectrum. In this thesis we study three interrelated examples of isospectral algorithms, all…
(more)

Subjects/Keywords: Isospectral flows; Toeplitz matrices; Orthogonal polynomials; eigenvalues; matrices; spectrum; spectra; Jacobi operators; QR algorithm; QL algorithm

Record Details Similar Records

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

APA (6^{th} Edition):

Webb, M. D. (2017). Isospectral algorithms, Toeplitz matrices and orthogonal polynomials . (Thesis). University of Cambridge. Retrieved from https://www.repository.cam.ac.uk/handle/1810/264149

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):

Webb, Marcus David. “Isospectral algorithms, Toeplitz matrices and orthogonal polynomials .” 2017. Thesis, University of Cambridge. Accessed June 25, 2019. https://www.repository.cam.ac.uk/handle/1810/264149.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Webb, Marcus David. “Isospectral algorithms, Toeplitz matrices and orthogonal polynomials .” 2017. Web. 25 Jun 2019.

Vancouver:

Webb MD. Isospectral algorithms, Toeplitz matrices and orthogonal polynomials . [Internet] [Thesis]. University of Cambridge; 2017. [cited 2019 Jun 25]. Available from: https://www.repository.cam.ac.uk/handle/1810/264149.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Webb MD. Isospectral algorithms, Toeplitz matrices and orthogonal polynomials . [Thesis]. University of Cambridge; 2017. Available from: https://www.repository.cam.ac.uk/handle/1810/264149

Not specified: Masters Thesis or Doctoral Dissertation

2. Webb, Marcus David. Isospectral algorithms, Toeplitz matrices and orthogonal polynomials.

Degree: PhD, 2017, University of Cambridge

URL: https://www.repository.cam.ac.uk/handle/1810/264149 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.715948

► An isospectral *algorithm* is one which manipulates a matrix without changing its spectrum. In this thesis we study three interrelated examples of isospectral algorithms, all…
(more)

Subjects/Keywords: 515; Isospectral flows; Toeplitz matrices; Orthogonal polynomials; eigenvalues; matrices; spectrum; spectra; Jacobi operators; QR algorithm; QL algorithm

Record Details Similar Records

❌

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

APA (6^{th} Edition):

Webb, M. D. (2017). Isospectral algorithms, Toeplitz matrices and orthogonal polynomials. (Doctoral Dissertation). University of Cambridge. Retrieved from https://www.repository.cam.ac.uk/handle/1810/264149 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.715948

Chicago Manual of Style (16^{th} Edition):

Webb, Marcus David. “Isospectral algorithms, Toeplitz matrices and orthogonal polynomials.” 2017. Doctoral Dissertation, University of Cambridge. Accessed June 25, 2019. https://www.repository.cam.ac.uk/handle/1810/264149 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.715948.

MLA Handbook (7^{th} Edition):

Webb, Marcus David. “Isospectral algorithms, Toeplitz matrices and orthogonal polynomials.” 2017. Web. 25 Jun 2019.

Vancouver:

Webb MD. Isospectral algorithms, Toeplitz matrices and orthogonal polynomials. [Internet] [Doctoral dissertation]. University of Cambridge; 2017. [cited 2019 Jun 25]. Available from: https://www.repository.cam.ac.uk/handle/1810/264149 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.715948.

Council of Science Editors:

Webb MD. Isospectral algorithms, Toeplitz matrices and orthogonal polynomials. [Doctoral Dissertation]. University of Cambridge; 2017. Available from: https://www.repository.cam.ac.uk/handle/1810/264149 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.715948

3. Kabir, Khairul. Analysis and Design of Communication Avoiding Algorithms for Out of Memory(OOM) SVD.

Degree: 2017, University of Tennessee – Knoxville

URL: https://trace.tennessee.edu/utk_graddiss/4472

► Many applications — including big data analytics, information retrieval, gene expression analysis, and numerical weather prediction – require the solution of large, dense singular value…
(more)

Subjects/Keywords: SVD; Bidiagonal; Band; out of memory; QR; tiled algorithm; Numerical Analysis and Scientific Computing

Record Details Similar Records

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

APA (6^{th} Edition):

Kabir, K. (2017). Analysis and Design of Communication Avoiding Algorithms for Out of Memory(OOM) SVD. (Doctoral Dissertation). University of Tennessee – Knoxville. Retrieved from https://trace.tennessee.edu/utk_graddiss/4472

Chicago Manual of Style (16^{th} Edition):

Kabir, Khairul. “Analysis and Design of Communication Avoiding Algorithms for Out of Memory(OOM) SVD.” 2017. Doctoral Dissertation, University of Tennessee – Knoxville. Accessed June 25, 2019. https://trace.tennessee.edu/utk_graddiss/4472.

MLA Handbook (7^{th} Edition):

Kabir, Khairul. “Analysis and Design of Communication Avoiding Algorithms for Out of Memory(OOM) SVD.” 2017. Web. 25 Jun 2019.

Vancouver:

Kabir K. Analysis and Design of Communication Avoiding Algorithms for Out of Memory(OOM) SVD. [Internet] [Doctoral dissertation]. University of Tennessee – Knoxville; 2017. [cited 2019 Jun 25]. Available from: https://trace.tennessee.edu/utk_graddiss/4472.

Council of Science Editors:

Kabir K. Analysis and Design of Communication Avoiding Algorithms for Out of Memory(OOM) SVD. [Doctoral Dissertation]. University of Tennessee – Knoxville; 2017. Available from: https://trace.tennessee.edu/utk_graddiss/4472

Utah State University

4.
Chu, Hsiao-yin Edith.
The *QR* * Algorithm*.

Degree: MS, Mathematics and Statistics, 1979, Utah State University

URL: https://digitalcommons.usu.edu/etd/6946

In this section, we will consider two methods for computing an eigenvector and in addition the associated eigenvalue of a matrix A.
*Advisors/Committee Members: David S. Watkins, ;.*

Subjects/Keywords: QR algorithm; power method; inverse power method; Mathematics

Record Details Similar Records

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

APA (6^{th} Edition):

Chu, H. E. (1979). The QR Algorithm. (Masters Thesis). Utah State University. Retrieved from https://digitalcommons.usu.edu/etd/6946

Chicago Manual of Style (16^{th} Edition):

Chu, Hsiao-yin Edith. “The QR Algorithm.” 1979. Masters Thesis, Utah State University. Accessed June 25, 2019. https://digitalcommons.usu.edu/etd/6946.

MLA Handbook (7^{th} Edition):

Chu, Hsiao-yin Edith. “The QR Algorithm.” 1979. Web. 25 Jun 2019.

Vancouver:

Chu HE. The QR Algorithm. [Internet] [Masters thesis]. Utah State University; 1979. [cited 2019 Jun 25]. Available from: https://digitalcommons.usu.edu/etd/6946.

Council of Science Editors:

Chu HE. The QR Algorithm. [Masters Thesis]. Utah State University; 1979. Available from: https://digitalcommons.usu.edu/etd/6946

NSYSU

5. Chang, Chung-Yao. Performance of OFDM-Based Wireless Communication Systems and Its Applications with Antenna Arrays.

Degree: PhD, Electrical Engineering, 2004, NSYSU

URL: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0827104-132259

► To satisfy the growing demands of the mobile and personal broadband communications, recently, many innovative technologies have been devised and extensively used for wireless transmission…
(more)

Subjects/Keywords: OFDM; Adaptive constrained algorithm; Smart antenna; Inverse QR-decomposition; MC-CDMA

Record Details Similar Records

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

APA (6^{th} Edition):

Chang, C. (2004). Performance of OFDM-Based Wireless Communication Systems and Its Applications with Antenna Arrays. (Doctoral Dissertation). NSYSU. Retrieved from http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0827104-132259

Chicago Manual of Style (16^{th} Edition):

Chang, Chung-Yao. “Performance of OFDM-Based Wireless Communication Systems and Its Applications with Antenna Arrays.” 2004. Doctoral Dissertation, NSYSU. Accessed June 25, 2019. http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0827104-132259.

MLA Handbook (7^{th} Edition):

Chang, Chung-Yao. “Performance of OFDM-Based Wireless Communication Systems and Its Applications with Antenna Arrays.” 2004. Web. 25 Jun 2019.

Vancouver:

Chang C. Performance of OFDM-Based Wireless Communication Systems and Its Applications with Antenna Arrays. [Internet] [Doctoral dissertation]. NSYSU; 2004. [cited 2019 Jun 25]. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0827104-132259.

Council of Science Editors:

Chang C. Performance of OFDM-Based Wireless Communication Systems and Its Applications with Antenna Arrays. [Doctoral Dissertation]. NSYSU; 2004. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0827104-132259

University of Toronto

6. Patel, Dimpesh. VLSI Implementation of Digital Signal Processing Algorithms for MIMO Detection and Channel Pre-processing.

Degree: 2010, University of Toronto

URL: http://hdl.handle.net/1807/29986

►

The efficient high-throughput VLSI implementation of Soft-output MIMO detectors for high-order constellations and large antenna configurations has been a major challenge in the literature. This… (more)

Subjects/Keywords: MIMO Communication; VLSI Implementation; Digital Signal Processing; MIMO Detection; Channel Pre-Processing; QR Decomposition; K-Best Algorithm; Error Correcting Codes; High Speed; Low Power; 0544

Record Details Similar Records

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

APA (6^{th} Edition):

Patel, D. (2010). VLSI Implementation of Digital Signal Processing Algorithms for MIMO Detection and Channel Pre-processing. (Masters Thesis). University of Toronto. Retrieved from http://hdl.handle.net/1807/29986

Chicago Manual of Style (16^{th} Edition):

Patel, Dimpesh. “VLSI Implementation of Digital Signal Processing Algorithms for MIMO Detection and Channel Pre-processing.” 2010. Masters Thesis, University of Toronto. Accessed June 25, 2019. http://hdl.handle.net/1807/29986.

MLA Handbook (7^{th} Edition):

Patel, Dimpesh. “VLSI Implementation of Digital Signal Processing Algorithms for MIMO Detection and Channel Pre-processing.” 2010. Web. 25 Jun 2019.

Vancouver:

Patel D. VLSI Implementation of Digital Signal Processing Algorithms for MIMO Detection and Channel Pre-processing. [Internet] [Masters thesis]. University of Toronto; 2010. [cited 2019 Jun 25]. Available from: http://hdl.handle.net/1807/29986.

Council of Science Editors:

Patel D. VLSI Implementation of Digital Signal Processing Algorithms for MIMO Detection and Channel Pre-processing. [Masters Thesis]. University of Toronto; 2010. Available from: http://hdl.handle.net/1807/29986

University of Cambridge

7. Kaur, Amandeep. Analytic and Numerical aspects of isospectral flows .

Degree: 2018, University of Cambridge

URL: https://www.repository.cam.ac.uk/handle/1810/270631

► In this thesis we address the analytic and numerical aspects of isospectral flows. Such flows occur in mathematical physics and numerical linear algebra. Their main…
(more)

Subjects/Keywords: Isospectral flow; ordinary differential equations; eigenvalues; Magnus expansion; Lie group; Lie algebra; binary trees; Cayley transform; double bracket flow; Toda lattice; QR algorithm

Record Details Similar Records

❌

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

APA (6^{th} Edition):

Kaur, A. (2018). Analytic and Numerical aspects of isospectral flows . (Thesis). University of Cambridge. Retrieved from https://www.repository.cam.ac.uk/handle/1810/270631

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Kaur, Amandeep. “Analytic and Numerical aspects of isospectral flows .” 2018. Thesis, University of Cambridge. Accessed June 25, 2019. https://www.repository.cam.ac.uk/handle/1810/270631.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Kaur, Amandeep. “Analytic and Numerical aspects of isospectral flows .” 2018. Web. 25 Jun 2019.

Vancouver:

Kaur A. Analytic and Numerical aspects of isospectral flows . [Internet] [Thesis]. University of Cambridge; 2018. [cited 2019 Jun 25]. Available from: https://www.repository.cam.ac.uk/handle/1810/270631.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Kaur A. Analytic and Numerical aspects of isospectral flows . [Thesis]. University of Cambridge; 2018. Available from: https://www.repository.cam.ac.uk/handle/1810/270631

Not specified: Masters Thesis or Doctoral Dissertation

Brno University of Technology

8. Štrympl, Martin. Výpočet vlastních čísel a vlastních vektorů hermitovské matice .

Degree: 2016, Brno University of Technology

URL: http://hdl.handle.net/11012/59861

► Tato práce se zabývá výpočtem vlastních čísel a vlastních vektorů hermitovské pozitivně-semidefinitní komplexní čtvercové matice řádu 4. Cílem je implementace výpočtu v jazyce VHDL pro…
(more)

Subjects/Keywords: matice; vlastní čísla; vlastní vektory; symetrická matice; hermitovská matice; QR rozklad; třídiagonální matice; analýza algoritmů; VHDL; Xilinx Zynq-7000; Xilinx® Floating-Point Operator; matrix; eigenvalues; eigenvectors; symmetrix matrix; Hermitian matrix; QR decomposition; tridiagonal matrix; algorithm analyze; VHDL; Xilinx Zynq-7000; Xilinx® Floating-Point Operator

Record Details Similar Records

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

APA (6^{th} Edition):

Štrympl, M. (2016). Výpočet vlastních čísel a vlastních vektorů hermitovské matice . (Thesis). Brno University of Technology. Retrieved from http://hdl.handle.net/11012/59861

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Štrympl, Martin. “Výpočet vlastních čísel a vlastních vektorů hermitovské matice .” 2016. Thesis, Brno University of Technology. Accessed June 25, 2019. http://hdl.handle.net/11012/59861.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Štrympl, Martin. “Výpočet vlastních čísel a vlastních vektorů hermitovské matice .” 2016. Web. 25 Jun 2019.

Vancouver:

Štrympl M. Výpočet vlastních čísel a vlastních vektorů hermitovské matice . [Internet] [Thesis]. Brno University of Technology; 2016. [cited 2019 Jun 25]. Available from: http://hdl.handle.net/11012/59861.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Štrympl M. Výpočet vlastních čísel a vlastních vektorů hermitovské matice . [Thesis]. Brno University of Technology; 2016. Available from: http://hdl.handle.net/11012/59861

Not specified: Masters Thesis or Doctoral Dissertation

9.
Shao, Meiyue.
Dense and Structured Matrix Computations: the Parallel *QR* *Algorithm* and Matrix Exponentials.

Degree: 2014, EPFL

URL: http://infoscience.epfl.ch/record/195756

Subjects/Keywords: nonsymmetric eigenvalue problem; matrix exponential; multishift QR algorithm; aggressive early deflation; parallel algorithm; distributed memory architecture; aggressively truncated Taylor series method; finite section method; exponential decay

…of Notation
xv
1 Introduction
1
Part I—The *QR* *Algorithm*
5
2 Nonsymmetric Eigenvalue… …Problems and the *QR* *Algorithm*
7
2.1 Nonsymmetric eigenvalue problems… …7
2.2 The *QR* *Algorithm*… …10
2.2.1 Francis double-shift *QR* *algorithm*… …16
3 The Parallel *QR* *Algorithm* with Aggressive Early Deflation
19
3.1 Data layout…

Record Details Similar Records

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

APA (6^{th} Edition):

Shao, M. (2014). Dense and Structured Matrix Computations: the Parallel QR Algorithm and Matrix Exponentials. (Thesis). EPFL. Retrieved from http://infoscience.epfl.ch/record/195756

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Shao, Meiyue. “Dense and Structured Matrix Computations: the Parallel QR Algorithm and Matrix Exponentials.” 2014. Thesis, EPFL. Accessed June 25, 2019. http://infoscience.epfl.ch/record/195756.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Shao, Meiyue. “Dense and Structured Matrix Computations: the Parallel QR Algorithm and Matrix Exponentials.” 2014. Web. 25 Jun 2019.

Vancouver:

Shao M. Dense and Structured Matrix Computations: the Parallel QR Algorithm and Matrix Exponentials. [Internet] [Thesis]. EPFL; 2014. [cited 2019 Jun 25]. Available from: http://infoscience.epfl.ch/record/195756.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Shao M. Dense and Structured Matrix Computations: the Parallel QR Algorithm and Matrix Exponentials. [Thesis]. EPFL; 2014. Available from: http://infoscience.epfl.ch/record/195756

Not specified: Masters Thesis or Doctoral Dissertation