Articles liés à Matrix Theory: Basic Results and Techniques

Matrix Theory: Basic Results and Techniques - Couverture souple

Livre 89 sur 261: Universitext

Zhang, Fuzhen

 
9781461410980: Matrix Theory: Basic Results and Techniques
Couverture souple
ISBN 10 : 1461410983 ISBN 13 : 9781461410980
Editeur : Springer, 2011

Synopsis

The aim of this book is to concisely present fundamental ideas, results, and techniques in linear algebra and mainly matrix theory. The book contains ten chapters covering various topics ranging from similarity and special types of matrices to Schur complements and matrix normality. Each chapter focuses on the results, techniques, and methods that are beautiful, interesting, and representative, followed by carefully selected problems.

Major changes in this revised and expanded second edition:
-Expansion of topics such as matrix functions, nonnegative matrices, and (unitarily invariant) matrix norms
-The inclusion of more than 1000 exercises;
-A new chapter, Chapter 4, with updated material on numerical ranges and radii, matrix norms, and special operations such as the Kronecker and Hadamard products and compound matrices
-A new chapter, Chapter 10, on matrix inequalities, which presents a variety of inequalities on the eigenvalues and singular values of matrices and unitarily invariant norms.

This book can be used as a textbook or a supplement for a linear algebra and matrix theory class or a seminar for senior undergraduate or graduate students. Prerequisites include a decent background in elementary linear algebra and calculus. The book can also serve as a reference for instructors and researchers in the fields of algebra, matrix analysis, operator theory, statistics, computer science, engineering, operations research, economics, and other fields.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Fuzhen Zhang is currently a Professor of Mathematics at Nova Southeastern University.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2011
Langue
anglais
ISBN 10 
1461410983
ISBN 13 
9781461410980
Reliure
Broché
Numéro d'édition
2
Nombre de pages
420
Coordonnées du fabricant
non disponible
Personne responsable
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