Del 1790 - Lecture Notes in Mathematics

Matrix Inequalities

Häftad, Engelska, 2002

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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.

Produktinformation

Utgivningsdatum2002-07-09
Mått155 x 235 x 8 mm
Vikt203 g
FormatHäftad
SpråkEngelska
SerieLecture Notes in Mathematics
Antal sidor124
Upplaga2002
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783540437987

Tillhör följande kategorier

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.