Matrix inequalities / Xingzhi Zhan

Auteur principal : Zhan, Xingzhi, 1965-, AuteurType de document : Livre numériqueCollection : Lecture notes in mathematics, 1790Langue : anglais.Éditeur : Berlin : Springer, 2002ISBN: 3540437983.ISSN: 1617-9692.Sujet MSC : 15A45, Basic linear algebra, Miscellaneous inequalities involving matrices
15A15, Basic linear algebra, Determinants, permanents, traces, other special matrix functions
15A18, Basic linear algebra, Eigenvalues, singular values, and eigenvectors
15A42, Basic linear algebra, Inequalities involving eigenvalues and eigenvectorsEn-ligne : Springerlink | Zentralblatt | MathSciNet
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... It consists of five chapters. The first one establishes inequalities in the Löwner partial order. Chapter 2 introduces several types of majorization and deals with their applications to eigenvalues of the Hadamard product of positive semidefinite matrices (thus extending Oppenheim’s inequality). Chapters 3 and 4 constitute the main body of the book; they are devoted to inequalities for singular values resp. norms. The last chapter is an overview on the famous solution of the van der Waerden conjecture concerning the minimum permanent of doubly stochastic matrices. ... (Zentralblatt)

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