Positive Definite Matrices

Language: English

Published by Hindustan Book Agency, 2007

9380250037 / 9789380250038

Series: Book 4 of 33 - Princeton Series in Applied Mathematics

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Seller: Vedams eBooks (P) Ltd, New Delhi, IndiaVedams eBooks (P) Ltd

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Softcover

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Contents: 1. Positive Matrices. 2. Positive Linear Maps. 3. Completely Positive Maps. 4. Matrix Means. 5. Positive Definite Functions. 6. Geometry of Positive Matrices. Bibliography. Index. "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.The author 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.".

Seller Inventory # 77130

Title
Positive Definite Matrices
Author
Rajendra Bhatia
Publisher
Hindustan Book Agency
Publication year
2007
Condition
As New
Binding
Soft cover
Language
English
ISBN 10
9380250037
ISBN 13
9789380250038
Series
Book 4 of 33: Princeton Series in Applied Mathematics

Vedams eBooks (P) Ltd

New Delhi, India

4-star seller

AbeBooks seller since January 30, 2009

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