Relative perturbation theory for quadratic Hermitian eigenvalue problems

Linear Algebra and its Applications ◽

10.1016/j.laa.2021.01.023 ◽

2021 ◽

Vol 618 ◽

pp. 97-128

Author(s):

Peter Benner ◽

Xin Liang ◽

Suzana Miodragović ◽

Ninoslav Truhar

Keyword(s):

Perturbation Theory ◽

Eigenvalue Problems ◽

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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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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Asymptotic perturbation theory for Schrödinger eigenvalue problems

Schrödinger Operators - Lecture Notes in Physics ◽

10.1007/3-540-51783-9_20 ◽

2008 ◽

pp. 198-206

Author(s):

W. Hunziker

Keyword(s):

Perturbation Theory ◽

Eigenvalue Problems ◽

Asymptotic Perturbation

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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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On the Perturbation Theory for Unitary Eigenvalue Problems

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/s0895479898333235 ◽

2000 ◽

Vol 21 (3) ◽

pp. 809-824 ◽

Author(s):

B. Bohnhorst ◽

A. Bunse-Gerstner ◽

H. Fassbender

Keyword(s):

Perturbation Theory ◽

Eigenvalue Problems ◽

Unitary Eigenvalue

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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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Formulae of perturbation theory for non-selfadjoint eigenvalue problems in the case of multiple eigenvalue perturbation

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam.1992.7.3.255 ◽

1992 ◽

Vol 7 (3) ◽

Author(s):

E. E. OVCHINNIKOV

Keyword(s):

Perturbation Theory ◽

Eigenvalue Problems ◽

Multiple Eigenvalue

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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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