Positive Definite MatricesPrinceton University Press, 10.01.2009 - 240 Seiten 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. |
Inhalt
1 | |
Chapter 2 Positive Linear Maps | 35 |
Chapter 3 Completely Positive Maps | 65 |
Chapter 4 Matrix Means | 101 |
Chapter 5 Positive Definite Functions | 141 |
Chapter 6 Geometry of Positive Matrices | 201 |
Bibliography | 237 |
247 | |
Notation | 253 |