Residual bounds for some or all singular values

M. Lange

doi:10.1016/j.laa.2013.06.023

Residual bounds for some or all singular values

M. Lange^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

For a given real or complex matrix we derive perturbation bounds for some or all singular values. The bounds are of the same quality as corresponding residual bounds for the Hermitian eigenvalue problem. They are suitable for numerical computation.

Original language	English
Pages (from-to)	28-37
Number of pages	10
Journal	Linear Algebra and Its Applications
Volume	464
DOIs	https://doi.org/10.1016/j.laa.2013.06.023
Publication status	Published - 2015 Jan 1
Externally published	Yes

Keywords

Eigenvalues
Perturbationbounds
Residualbounds
Singularvalues

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/j.laa.2013.06.023

Cite this

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title = "Residual bounds for some or all singular values",

abstract = "For a given real or complex matrix we derive perturbation bounds for some or all singular values. The bounds are of the same quality as corresponding residual bounds for the Hermitian eigenvalue problem. They are suitable for numerical computation.",

keywords = "Eigenvalues, Perturbationbounds, Residualbounds, Singularvalues",

author = "M. Lange",

year = "2015",

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day = "1",

doi = "10.1016/j.laa.2013.06.023",

language = "English",

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journal = "Linear Algebra and Its Applications",

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AU - Lange, M.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - For a given real or complex matrix we derive perturbation bounds for some or all singular values. The bounds are of the same quality as corresponding residual bounds for the Hermitian eigenvalue problem. They are suitable for numerical computation.

AB - For a given real or complex matrix we derive perturbation bounds for some or all singular values. The bounds are of the same quality as corresponding residual bounds for the Hermitian eigenvalue problem. They are suitable for numerical computation.

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KW - Perturbationbounds

KW - Residualbounds

KW - Singularvalues

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DO - 10.1016/j.laa.2013.06.023

M3 - Article

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SN - 0024-3795

VL - 464

SP - 28

EP - 37

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

Residual bounds for some or all singular values

Abstract

Keywords

ASJC Scopus subject areas

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