Positive definite matrices / Rajendra Bhatia.

By:

Bhatia, Rajendra, 1952-

Material type: Text

TextSeries: Princeton series in applied mathematicsPublication details: Princeton, N.J. ; Woodstock : Princeton University Press, 2007.Description: ix, 254 p. ; 25 cmISBN:

9780691129181 (hbk.) :
9789380250038

Subject(s):

Matrices

DDC classification:

512.943 BHA

LOC classification:

QA188 .B488 2007

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

Review: "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 develops general techniques that have wide applications in the study of such 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."--BOOK JACKET.

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Holdings
Item type	Current library	Call number	Status	Notes	Date due	Barcode
Project book	CUTN Central Library	512.943 BHA (Browse shelf(Opens below))	Checked out to Renuka Devi V (20019T)	Project Books	31/01/2024	48870

Includes bibliographical references (p. [237]-245) and index.

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. Through detailed explanations and an authoritative and inspiring writing style, Rajendra Bhatia develops general techniques that have wide applications in the study of such 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."--BOOK JACKET.

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