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Matrix Inequalities de Xingzhi Zhan

Matrix Inequalities: Lecture Notes in Mathematics, cartea 1790

Autor Xingzhi Zhan
en Limba Engleză Paperback – 9 iul 2002
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.
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Specificații

ISBN-13: 9783540437987
ISBN-10: 3540437983
Pagini: 132
Ilustrații: VIII, 124 p.
Dimensiuni: 155 x 235 x 7 mm
Greutate: 0.2 kg
Ediția:2002
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

Inequalities in the Loewner Partial Order: The Loewner-Heinz inequality; Maps on matrix spaces; Inequalities for matrix powers; Block matrix techniques.- Majorization and Eigenvalues: Majorizations; Eigenvalues of Hadamard products; Singular Values: Matrix Young inequalities; Singular values of Hadamard products; Differences of positive semidefinite matrices; Matrix Cartesian decompositions; Singular values and matrix entries.- Norm Inequalities: Operator monotone functions; Cartesian decompositions revisited; Arithmetic-geometric mean inequalities; Inequalities of Holder and Minkowski types; Permutations of matrix entries; The numerical radius; Norm estimates of banded matrices.- Solution of the van der Waerden Conjecture.

Caracteristici

Includes supplementary material: sn.pub/extras