Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Zhan, Xingzhi (1965-....)
詹, 兴 致 (1965-....)
Titre(s) : Matrix inequalities [Texte électronique] / Xingzhi Zhan
Publication : Berlin ; New York : Springer, cop. 2002
Description matérielle : 1 online resource (vi, 116 pages)
Collection : Lecture notes in mathematics ; 1790
Note(s) : Includes bibliographical references (pages 110-114) and index
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
Sujet(s) : Inégalités matricielles
Indice(s) Dewey :
510 (23e éd.) = Mathématiques ; 512.943 4 (23e éd.) = Matrices (algèbre)
Identifiants, prix et caractéristiques : ISBN 9783540454212
Voir aussi : Publication alternative dans un autre support/format : Matrix inequalities [Texte imprimé],
ISBN 3-540-43798-3
Identifiant de la notice : ark:/12148/cb44690711h
Notice n° :
FRBNF44690711
(notice reprise d'un réservoir extérieur)
Table des matières : 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.