Newton’s method for the parameterized generalized eigenvalue problem with nonsquare matrix pencils

Advances in Computational Mathematics ◽

10.1007/s10444-021-09855-w ◽

2021 ◽

Vol 47 (2) ◽

Author(s):

Jiao-fen Li ◽

Wen Li ◽

Xue-feng Duan ◽

Mingqing Xiao

Keyword(s):

Eigenvalue Problem ◽

Newton’S Method ◽

Newton's Method ◽

Generalized Eigenvalue Problem ◽

Generalized Eigenvalue ◽

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An Algorithm for the Generalized Eigenvalue Problem for Nonsquare Matrix Pencils by Minimal Perturbation Approach

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/14099231x ◽

2016 ◽

Vol 37 (1) ◽

pp. 409-419 ◽

Author(s):

Shinji Ito ◽

Kazuo Murota

Keyword(s):

Eigenvalue Problem ◽

Generalized Eigenvalue Problem ◽

Perturbation Approach ◽

Generalized Eigenvalue ◽

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A Riemannian Optimization Approach for Solving the Generalized Eigenvalue Problem for Nonsquare Matrix Pencils

Journal of Scientific Computing ◽

10.1007/s10915-020-01173-5 ◽

2020 ◽

Vol 82 (3) ◽

Author(s):

Jiao-fen Li ◽

Wen Li ◽

Seak-Weng Vong ◽

Qi-Lun Luo ◽

MingQing Xiao

Keyword(s):

Eigenvalue Problem ◽

Generalized Eigenvalue Problem ◽

Optimization Approach ◽

Riemannian Optimization ◽

Generalized Eigenvalue ◽

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A trust‐region method for the parameterized generalized eigenvalue problem with nonsquare matrix pencils

Numerical Linear Algebra with Applications ◽

10.1002/nla.2363 ◽

2021 ◽

Author(s):

Jiao‐fen Li ◽

Kai Wang ◽

Yue‐yuan Liu ◽

Xue‐feng Duan ◽

Xue‐lin Zhou

Keyword(s):

Eigenvalue Problem ◽

Trust Region Method ◽

Trust Region ◽

Generalized Eigenvalue Problem ◽

Region Method ◽

Generalized Eigenvalue ◽

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On the global convergence of the block Jacobi method for the positive definite generalized eigenvalue problem

CALCOLO ◽

10.1007/s10092-021-00415-8 ◽

2021 ◽

Vol 58 (2) ◽

Author(s):

Vjeran Hari

Keyword(s):

Global Convergence ◽

Eigenvalue Problem ◽

Positive Definite ◽

Generalized Eigenvalue Problem ◽

Jacobi Method ◽

Generalized Eigenvalue

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A Cache-Aware Implementation of the Spectral Divide-and-Conquer Approach for the Non-Symmetric Generalized Eigenvalue Problem

PAMM ◽

10.1002/pamm.201410390 ◽

2014 ◽

Vol 14 (1) ◽

pp. 819-820 ◽

Author(s):

Peter Benner ◽

Martin Köhler ◽

Jens Saak

Keyword(s):

Eigenvalue Problem ◽

Generalized Eigenvalue Problem ◽

Divide And Conquer ◽

Generalized Eigenvalue

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Geometric Invariant Theory and Generalized Eigenvalue Problem II

Annales de l’institut Fourier ◽

10.5802/aif.2647 ◽

2011 ◽

Vol 61 (4) ◽

pp. 1467-1491 ◽

Author(s):

Nicolas Ressayre

Keyword(s):

Eigenvalue Problem ◽

Invariant Theory ◽

Geometric Invariant Theory ◽

Generalized Eigenvalue Problem ◽

Geometric Invariant ◽

Generalized Eigenvalue

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6. The Generalized Eigenvalue Problem

The Matrix Eigenvalue Problem ◽

10.1137/1.9780898717808.ch6 ◽

2007 ◽

pp. 233-263 ◽

Keyword(s):

Eigenvalue Problem ◽

Generalized Eigenvalue Problem ◽

Generalized Eigenvalue

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Iterative Calculations of a Few Lowest Eigenvalues and Corresponding Eigenvectors of Large Generalized Eigenvalue Problem

Acta Physico-Chimica Sinica ◽

10.3866/pku.whxb20080515 ◽

2008 ◽

Vol 24 (05) ◽

pp. 823-826

Author(s):

ZHAO Xiao-Hong ◽

◽

◽

CHEN Fei-Wu ◽

WU Jian ◽

...

Keyword(s):

Eigenvalue Problem ◽

Generalized Eigenvalue Problem ◽

Generalized Eigenvalue

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Semi-Supervised Hyperspectral Subspace Learning Based on a Generalized Eigenvalue Problem for Regression and Dimensionality Reduction

IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing ◽

10.1109/jstars.2014.2325051 ◽

2014 ◽

Vol 7 (6) ◽

pp. 2583-2599 ◽

Author(s):

Kuniaki Uto ◽

Yukio Kosugi ◽

Genya Saito

Keyword(s):

Eigenvalue Problem ◽

Dimensionality Reduction ◽

Subspace Learning ◽

Generalized Eigenvalue Problem ◽

Generalized Eigenvalue

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The palindromic generalized eigenvalue problem A∗x=λAx: Numerical solution and applications

Linear Algebra and its Applications ◽

10.1016/j.laa.2009.12.020 ◽

2011 ◽

Vol 434 (11) ◽

pp. 2269-2284 ◽

Author(s):

Tiexiang Li ◽

Chun-Yueh Chiang ◽

Eric King-wah Chu ◽

Wen-Wei Lin

Keyword(s):

Eigenvalue Problem ◽

Numerical Solution ◽

Generalized Eigenvalue Problem ◽

Generalized Eigenvalue

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