Articoli correlati a Matrix Inequalities: 1790

Matrix Inequalities: 1790 - Brossura

Zhan, Xingzhi

 
9783540437987: Matrix Inequalities: 1790
Brossura
ISBN 10: 3540437983 ISBN 13: 9783540437987
Casa editrice: Springer, 2008

Sinossi

The main purpose of this monograph is to report on recent developments in the field of matrix inequalities, with emphasis on useful techniques and ingenious ideas. Among other results this book contains the affirmative solutions of eight conjectures. Many theorems unify or sharpen previous inequalities. The author's aim is to streamline the ideas in the literature. The book can be read by research workers, graduate students and advanced undergraduates.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

1. Inequalities in the Loewner Partial Order 1.1 The Loewner-Heinz inequality 1.2 Maps on matrix spaces 1.3 Inequalities for matrix powers 1.4 Block matrix techniques 2. Majorization and Eigenvalues 2.1 Majorizations 2.2 Eigenvalues of Hadamard products 3. Singular Values 3.1 Matrix Young inequalities 3.2 Singular values of Hadamard products 3.3 Differences of positive semidefinite matrices 3.4 Matrix Cartesian decompositions 3.5 Singular values and matrix entries 4. Norm Inequalities 4.1 Operator monotone functions 4.2 Cartesian decompositions revisited 4.3 Arithmetic-geometric mean inequalities 4.4 Inequalities of Holder and Minkowski types 4.5 Permutations of matrix entries 4.6 The numerical radius 4.7 Norm estimates of banded matrices 5. Solution of the van der Waerden Conjecture

Product Description

Book by Zhan Xingzhi

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer
Data di pubblicazione
2008
Lingua
Inglese
ISBN 10 
3540437983
ISBN 13 
9783540437987
Rilegatura
Copertina flessibile
Numero di pagine
132
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