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Matrix Analysis is written by Rajendra Bhatia and published by Springer Science & Business Media. It's available with International Standard Book Number or ISBN identification 0387948465 (ISBN 10) and 9780387948461 (ISBN 13).
This book presents a substantial part of matrix analysis that is functional analytic in spirit. Topics covered include the theory of majorization, variational principles for eigenvalues, operator monotone and convex functions, and perturbation of matrix functions and matrix inequalities. The book offers several powerful methods and techniques of wide applicability, and it discusses connections with other areas of mathematics.