Topics in Matrix Analysis

This book treats several topics in matrix theory not included in its predecessor volume, Matrix Analysis.

Roger A. Horn (Author), Charles R. Johnson (Author)

9780521467131, Cambridge University Press

Paperback, published 24 June 1994

616 pages
22.9 x 15.2 x 3.5 cm, 0.82 kg

"There are three reasons why Horn and Johnson's new book Topics in Matrix Analysis and its predecessor Matrix Analysis are indispensable. First, the authors cover their topics in depth. Second, they cover nonstandard topics. Third, they organize their material in the style of a textbook. Compared to an encyclopedia, they are more selective and more detailed; compared to exhaustive treatises, they are less selective and less detailed. Horn and Johnson establish a middle ground where they come much more than half way in meeting the reader who wants to do something with linear algebra." Bulletin of the International Linear Algebra Society

Building on the foundations of its predecessor volume, Matrix Analysis, this book treats in detail several topics in matrix theory not included in the previous volume, but with important applications and of special mathematical interest. As with the previous volume, the authors assume a background knowledge of elementary linear algebra and rudimentary analytical concepts. Many examples and exercises of varying difficulty are included.

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.

Subject Areas: Algebra [PBF]