The singular values of <mml:math altimg="si1.gif" 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:mrow><mml:mi>A</mml:mi><mml:mo>+</mml:mo><mml:mi>B</mml:mi></mml:mrow></mml:math> and <mml:math altimg="si2.gif" 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:mrow><mml:mi>A</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="italic">iB</mml:mi></mml:mrow></mml:math>-Reference-Cited by-同舟云学术

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The singular values of A+B and A+iB

Published:2009-10 Issue:9 Volume:431 Page:1502-1508
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Bhatia Rajendra,Kittaneh Fuad

Publisher

Elsevier BV

Subject

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

Reference14 articles.

1. Eigenvalue inequalities associated with the Cartesian decomposition;Ando;Linear and Multilinear Algebra,1987

2. Matrix Analysis;Bhatia,1997

3. Positive Definite Matrices;Bhatia,2007

4. Norm inequalities for positive operators;Bhatia;Lett. Math. Phys.,1998

5. Cartesian decompositions and Schatten norms;Bhatia;Linear Algbra Appl.,2000

Cited by 20 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Singular value inequalities for submultiplicative and subadditive functions of matrices;Positivity;2024-07

2. An extension of Bhatia and Kittaneh’s result and its application;Advances in Operator Theory;2023-01

3. A brief review on Singular Value Inequalities;Journal of Physics: Conference Series;2022-05-01

4. New estimates for the numerical radius;Filomat;2021

5. Singular value inequalities involving convex and concave functions of positive semidefinite matrices;Annals of Functional Analysis;2020-07-16

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