Marcus M Survey of Matrix Theory and Matrix Inequalities 2014 torrent

Textbook in PDF format

Written 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. Part One of the book covers not only the standard ideas of matrix theory, but ones, as the authors state, ""that reflect our own prejudices, "" among them Kronecker products, compound and induced matrices, quadratic relations, permanents, incidence.
Contents:
Cover
Title Page
Dedication
Copyright Page
Preface
Contents
Survey of Matrix Theory
Introductory Concepts
Numbers Associated With Matrices
Linear Equations and Canonical Forms
Special Classes Of Matrices, Commutativity
Congruence
Convexity And Matrices
Convex Sets
Convex Functions
Classical Inequalities
Convex Functions and Matrix Inequalities
Nonnegative Matrices
Localization of Characteristic Roots
Bounds For Characteristic Roots
Regions Containing Characteristic Roots of a General Matrix.
Characteristic Roots of Special Types of Matrices
The Spread of a Matrix
The Field of Values of a Matrix
Index