Positive definite matrices (notice n° 59250)
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000 -LEADER | |
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fixed length control field | 02307cam a2200277zu 4500 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | FRCYB45004299 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20250107204842.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 250107s2007 fr | o|||||0|0|||eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9780691129181 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | FRCYB45004299 |
040 ## - CATALOGING SOURCE | |
Original cataloging agency | FR-PaCSA |
Language of cataloging | en |
Transcribing agency | |
Description conventions | rda |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Bhatia, Rajendra |
245 01 - TITLE STATEMENT | |
Title | Positive definite matrices |
Statement of responsibility, etc. | ['Bhatia, Rajendra'] |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
Name of producer, publisher, distributor, manufacturer | Princeton University Press |
Date of production, publication, distribution, manufacture, or copyright notice | 2007 |
300 ## - PHYSICAL DESCRIPTION | |
Extent | p. |
336 ## - CONTENT TYPE | |
Content type code | txt |
Source | rdacontent |
337 ## - MEDIA TYPE | |
Media type code | c |
Source | rdamdedia |
338 ## - CARRIER TYPE | |
Carrier type code | c |
Source | rdacarrier |
520 ## - SUMMARY, ETC. | |
Summary, etc. | 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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | |
700 0# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Bhatia, Rajendra |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Access method | Cyberlibris |
Uniform Resource Identifier | <a href="https://international.scholarvox.com/netsen/book/45004299">https://international.scholarvox.com/netsen/book/45004299</a> |
Electronic format type | text/html |
Host name |
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