Topics in Matrix Analysis [Paperback]

This book treats several topics in matrix theory not included in its predecessor volume, Matrix Analysis.Building on the foundations of its predecessor volume, this book treats in detail several topics with important applications and of special mathematical interest in matrix theory not included in the previous text. A background in elementary linear algebra and knowledge of rudimentary analytical concepts is assumed.Building on the foundations of its predecessor volume, this book treats in detail several topics with important applications and of special mathematical interest in matrix theory not included in the previous text. A background in elementary linear algebra and knowledge of rudimentary analytical concepts is assumed.Building on the foundations of its predecessor volume, Matrix Analysis, this book treats in detail several topics with important applications and of special mathematical interest in matrix theory not included in the previous text. These topics include the field of values, stable matrices and inertia, singular values, matrix equations and Kronecker products, Hadamard products, and matrices and functions. The authors assume a background in elementary linear algebra and knowledge of rudimentary analytical concepts. The book should be welcomed by graduate students and researchers in a variety of mathematical fields both as an advanced text and as a modern reference work.1. The field of values; 2. Stable matrices and inertia; 3. Singular value inequalities; 4. Matrix equations and Kronecker products; 5. Hadamard products; 6. Matrices and functions. The writing of this and the previous book Matrix Analysis by the same authors is a wonderful achievement both for the two authors and for the field of matrix theory....a landmark book. Frank Uhlig, Linear Algebra and Its Applications There is no doubt that this two volume work, Matrix Analysis and Topics in Matrix Analysis is an important and unique contribution to the contemporary book literaturl“'