Positive definite matrices /
Bhatia, Rajendra, 1952-
Positive definite matrices / Rajendra Bhatia. - Princeton, N.J. ; Woodstock : Princeton University Press, 2007. - ix, 254 p. ; 25 cm. - Princeton series in applied mathematics. .
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.
9780691129181 (hbk.) : £35.95 9789380250038
013660820 2006050375
Matrices.
QA188 / .B488 2007
512.943 / BHA
Positive definite matrices / Rajendra Bhatia. - Princeton, N.J. ; Woodstock : Princeton University Press, 2007. - ix, 254 p. ; 25 cm. - Princeton series in applied mathematics. .
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.
9780691129181 (hbk.) : £35.95 9789380250038
013660820 2006050375
Matrices.
QA188 / .B488 2007
512.943 / BHA