Estimation of <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mrow><mml:mrow><mml:mo>‖</mml:mo><mml:msup><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mo>‖</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:math> and the smallest singular value-Reference-Cited by-同舟云学术

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Estimation of ‖A−1‖∞ and the smallest singular value

Published:2008-03 Issue:6 Volume:55 Page:1075-1080
ISSN:0898-1221
Container-title:Computers & Mathematics with Applications
language:en
Short-container-title:Computers & Mathematics with Applications

Author:

Huang Ting-Zhu

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation

Reference5 articles.

1. A lower bound for the smallest singular value;Varah;Linear Algebra Appl.,1975

2. A Gersgorin-type lower bound for the smallest singular value;Johnson;Linear Algebra Appl.,1989

3. Further lower bounds for the smallest singular value;Johnson;Linear Algebra Appl.,1998

4. Nonnegative Matrices in the Mathematical Sciences;Berman,1994

5. Topics in Matrix Analysis;Horn,1991

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4. Infinity norm bounds for the inverse for $$\textrm{GSDD}_1$$ matrices using scaling matrices;Computational and Applied Mathematics;2023-03-22

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