A Survey of Matrix Theory and Matrix Inequalities, Volume 14Written for advanced undergraduate students, this highly regarded book presents an enormous amount of information in a concise and accessible format. Beginning with the assumption that the reader has never seen a matrix before, the authors go on to provide a survey of a substantial part of the field, including many areas of modern research interest. |
Contents
Survey of Matrix Theory | 1 |
Numbers Associated with Matrices | 9 |
Linear Equations and Canonical Forms | 30 |
Special Classes of Matrices Commutativity | 59 |
Congruence | 81 |
Convexity and Matrices | 93 |
Convex Functions | 101 |
Classical Inequalities | 105 |
Convex Functions and Matrix Inequalities | 112 |
Nonnegative Matrices | 121 |
Localization of Characteristic Roots | 139 |
Regions Containing Characteristic Roots of a General Matrix | 145 |
Characteristic Roots of Special Types of Matrices | 152 |
The Spread of a Matrix | 167 |
The Field of Values of a Matrix | 168 |
Other editions - View all
A Survey of Matrix Theory and Matrix Inequalities, Volume 14 Marvin Marcus,Henryk Minc Limited preview - 1992 |
A Survey of Matrix Theory and Matrix Inequalities Marvin Marcus,Henryk Minc No preview available - 2014 |