Positive definite matrices (Record no. 3057)

000 -LEADER
fixed length control field 01848nam a22002177a 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20241001112748.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 200318b ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9789380250038
040 ## - CATALOGING SOURCE
Transcribing agency Educational Supplies
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA188.BHA
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Rajendra Bhatia
245 ## - TITLE STATEMENT
Title Positive definite matrices
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. New Delhi:
Name of publisher, distributor, etc. Hindustan Book Agency,
Date of publication, distribution, etc. [c2007]
300 ## - Physical Description
Pages: 251 p
490 ## - SERIES STATEMENT
Series statement Texts and Readings in Mathematics
Volume/sequential designation 44
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note 1. Positive Matrices<br/>2. Positive Linear Maps<br/>3. Completely Positive Maps<br/>4. Matrix Means<br/>5. Positive Definite Functions<br/>6. Geometry of Positive Matrices
520 ## - SUMMARY, ETC.
Summary, etc. TRIM 44This 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.<br/><br/>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. --- summary provided by publisher<br/>
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type
          ICTS Rack No 2 03/18/2020 QA188.BHA 02410 Book