Topics in Matrix Analysis
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.
- Electronic book text
- 11 May 2012
- CAMBRIDGE UNIVERSITY PRESS
- Cambridge University Press (Virtual Publishing)
- Cambridge, United Kingdom
Table of contents
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 literature on matrix theory." Marvin Marcus, Bulletin of the American Mathematical Society "I can recommend it without hesitation to both the producers and consumers of matrix theory." G.W. Stewart, SIAM Review "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