A Bound on the Solution to a Structured Sylvester Equation with an Application to Relative Perturbation Theory

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/s0895479898349586 ◽

2000 ◽

Vol 21 (2) ◽

pp. 440-445 ◽

Author(s):

Ren-Cang Li

Keyword(s):

Perturbation Theory ◽

Sylvester Equation ◽

Relative Perturbation Theory

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Relative Perturbation Theory: (II) Eigenspace Variations

10.21236/ada636848 ◽

1994 ◽

Author(s):

Ren-Cang Li

Keyword(s):

Perturbation Theory ◽

Relative Perturbation Theory

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Relative Perturbation Theory: (I) Eigenvalue Variations

10.21236/ada636847 ◽

1994 ◽

Author(s):

Ren-Cang Li

Keyword(s):

Perturbation Theory ◽

Relative Perturbation Theory

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Entrywise relative perturbation theory for nonsingularM-matrices and applications

BIT Numerical Mathematics ◽

10.1007/bf01732614 ◽

1995 ◽

Vol 35 (3) ◽

pp. 417-427 ◽

Author(s):

Xue Jungong ◽

Jiang Erxiong

Keyword(s):

Perturbation Theory ◽

Relative Perturbation Theory

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Relative Perturbation Theory: I. Eigenvalue and Singular Value Variations

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/s089547989629849x ◽

1998 ◽

Vol 19 (4) ◽

pp. 956-982 ◽

Author(s):

Ren-Cang Li

Keyword(s):

Perturbation Theory ◽

Singular Value ◽

Relative Perturbation Theory

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Relative perturbation theory for hyperbolic eigenvalue problem

Linear Algebra and its Applications ◽

10.1016/s0024-3795(99)00126-3 ◽

2000 ◽

Vol 309 (1-3) ◽

pp. 57-72 ◽

Author(s):

Ivan Slapničar ◽

Ninoslav Truhar

Keyword(s):

Perturbation Theory ◽

Eigenvalue Problem ◽

Relative Perturbation Theory

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Relative Perturbation Theory: II. Eigenspace and Singular Subspace Variations

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/s0895479896298506 ◽

1998 ◽

Vol 20 (2) ◽

pp. 471-492 ◽

Author(s):

Ren-Cang Li

Keyword(s):

Perturbation Theory ◽

Singular Subspace ◽

Relative Perturbation Theory

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Relative perturbation theory: IV. sin 2θ theorems

Linear Algebra and its Applications ◽

10.1016/s0024-3795(00)00077-x ◽

2000 ◽

Vol 311 (1-3) ◽

pp. 45-60 ◽

Author(s):

Ren-Cang Li

Keyword(s):

Perturbation Theory ◽

Relative Perturbation Theory

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Relative perturbation theory for hyperbolic singular value problem

Linear Algebra and its Applications ◽

10.1016/s0024-3795(02)00464-0 ◽

2003 ◽

Vol 358 (1-3) ◽

pp. 367-386 ◽

Author(s):

Ivan Slapničar ◽

Ninoslav Truhar

Keyword(s):

Perturbation Theory ◽

Singular Value ◽

Relative Perturbation Theory

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Relative Perturbation Theory for Diagonally Dominant Matrices

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/130943613 ◽

2014 ◽

Vol 35 (4) ◽

pp. 1303-1328 ◽

Author(s):

Megan Dailey ◽

Froilán M. Dopico ◽

Qiang Ye

Keyword(s):

Perturbation Theory ◽

Diagonally Dominant Matrices ◽

Diagonally Dominant ◽

Relative Perturbation Theory

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On relative perturbation theory for eigenvalues and eigenvectors of block operator matrices

PAMM ◽

10.1002/pamm.200700013 ◽

2007 ◽

Vol 7 (1) ◽

pp. 2050001-2050002

Author(s):

Luka GrubisÌŒicÌ

Keyword(s):

Perturbation Theory ◽

Operator Matrices ◽

Eigenvalues And Eigenvectors ◽

Block Operator ◽

Block Operator Matrices ◽

Relative Perturbation Theory

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