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Catalogue Information
Field name	Details
Dewey Class	512
Title	Matrix Inequalities ([EBook] /) / by Xingzhi Zhan.
Author	Zhan, Xingzhi
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2002.
Physical Details	VIII, 124 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1790
ISBN	9783540454212
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/b83956
Links to Related Works	Subject References: Algebra . Linear and Multilinear Algebras, Matrix Theory . Mathematics . Matrix theory . Operator Theory . Authors: Zhan, Xingzhi . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 512 .

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Matrix Inequalities

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