Positive Definite Matrices (Princeton Series in Applied Mathematics, 24) - Tapa dura

9780691129181: Positive Definite Matrices (Princeton Series in Applied Mathematics, 24)
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Críticas:
"Written by an expert in the area, the book presents in an accessible manner a lot of important results from the realm of positive matrices and of their applications...The book can be used for graduate courses in linear algebra, or as supplementary material for courses in operator theory, and as a reference book by engineers and researchers working in the applied field of quantum information."--S. Cobzas, Studia Universitatis Babes-Bolyai, Mathematica

"There is no obvious competitor for Bhatia's book, due in part to its focus, but also because it contains some very recent material drawn from research articles. Beautifully written and intelligently organised, Positive Definite Matrices is a welcome addition to the literature. Readers who admired his Matrix Analysis will no doubt appreciate this latest book of Rajendra Bhatia."--Douglas Farenick, Image

"This is an outstanding book. Its exposition is both concise and leisurely at the same time."--Jaspal Singh Aujla, Zentralblatt MATH
Reseña del editor:

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.

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  • EditorialPrinceton University Press
  • Año de publicación2007
  • ISBN 10 0691129185
  • ISBN 13 9780691129181
  • EncuadernaciónTapa dura
  • Número de páginas264
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Otras ediciones populares con el mismo título

9780691168258: Positive Definite Matrices: 24 (Princeton Series in Applied Mathematics)

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ISBN 10:  ISBN 13:  9780691168258
Editorial: Princeton University Press, 2015
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  • 9789380250038: Positive Definite Matrices (Texts And Readings In Mathematics, Volume 44)

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Bhatia, R.
Publicado por Princeton University Press (2009)
ISBN 10: 0691129185 ISBN 13: 9780691129181
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Descripción Condición: Fair. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. Clean from markings. In fair condition, suitable as a study copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,550grams, ISBN:9780691129181. Nº de ref. del artículo: 9478399

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