Positive Definite Matrices (Princeton Series in Applied Mathematics) - Couverture souple

Livre 4 sur 33: Princeton Series in Applied Mathematics

Bhatia, Rajendra

 
9780691168258: Positive Definite Matrices (Princeton Series in Applied Mathematics)
Couverture souple
ISBN 10 : 0691168253 ISBN 13 : 9780691168258
Editeur : Princeton University Press, 2015

Synopsis

This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and computational uses across a broad spectrum of disciplines, including calculus, electrical engineering, statistics, physics, numerical analysis, quantum information theory, and geometry. Through detailed explanations and an authoritative and inspiring writing style, Rajendra Bhatia carefully develops general techniques that have wide applications in the study of such matrices.

Bhatia introduces several key topics in functional analysis, operator theory, harmonic analysis, and differential geometry--all built around the central theme of positive definite matrices. He discusses positive and completely positive linear maps, and presents major theorems with simple and direct proofs. He examines matrix means and their applications, and shows how to use positive definite functions to derive operator inequalities that he and others proved in recent years. He guides the reader through the differential geometry of the manifold of positive definite matrices, and explains recent work on the geometric mean of several matrices.


Positive Definite Matrices is an informative and useful reference book for mathematicians and other researchers and practitioners. The numerous exercises and notes at the end of each chapter also make it the ideal textbook for graduate-level courses.

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

À propos de l?auteur

Rajendra Bhatia is Professor of Mathematics at the Indian Statistical Institute in New Delhi. He is the author of five books, including Matrix Analysis.

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

Éditeur
Princeton University Press
Date d'édition
2015
Langue
anglais
ISBN 10 
0691168253
ISBN 13 
9780691168258
Reliure
Broché
Nombre de pages
266
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

Europaallee 1
Bad Hersfeld
36244
Allemagne

Autres éditions populaires du même titre

9780691129181: Positive Definite Matrices

Edition présentée

ISBN 10 :  0691129185 ISBN 13 :  9780691129181
Editeur : Princeton University Press, 2007
Couverture rigide