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Inequalities and equalities for the Cartesian decomposition of complex matrices
Che-ManCheng1; Roger A.Horn2; Chi-Kwong Li3
2002-01-15
Source PublicationLinear Algebra and its Applications
ISSN0024-3795
Volume341Issue:1-3Pages:219-237
Abstract

Let A and B be Hermitian matrices and let C = A + iB. Inequalities and equalities for the eigenvalues and singular values of the matrices A, B, and C are discussed. Known results on inequalities are surveyed, new results on equality cases are proved, and open problems are mentioned. 

KeywordEigenvalues Cartesian Decomposition Major-ization Singular Values Equality Case Of Inequalities
DOI10.1016/S0024-3795(01)00373-1
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000173040900018
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Document TypeJournal article
CollectionFaculty of Science and Technology
DEPARTMENT OF MATHEMATICS
Corresponding AuthorChi-Kwong Li
Affiliation1.Faculty of Science and Technology, University of Macau, Macau
2.Department of Mathematics, University of Utah, Salt Lake City, UT 84112-0090, USA
3.Department of Mathematics, College of William and Mary, P.O. Box 8795, Williamsburg,VA 23187-8795, USA
First Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Che-ManCheng,Roger A.Horn,Chi-Kwong Li. Inequalities and equalities for the Cartesian decomposition of complex matrices[J]. Linear Algebra and its Applications, 2002, 341(1-3), 219-237.
APA Che-ManCheng., Roger A.Horn., & Chi-Kwong Li (2002). Inequalities and equalities for the Cartesian decomposition of complex matrices. Linear Algebra and its Applications, 341(1-3), 219-237.
MLA Che-ManCheng,et al."Inequalities and equalities for the Cartesian decomposition of complex matrices".Linear Algebra and its Applications 341.1-3(2002):219-237.
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