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