Includes bibliographical references (p. 571-574) and index.

Machine generated contents note: 1. Eigenvalues, eigenvectors, and s imilarity; 2. Unitary similarity and unitary equivalence; 3. Canonical forms for similarity, and triangular factorizations; 4. Hermitian matri ces, symmetric matrices, and congruences; 5. Norms for vectors and matr ices; 6. Location and perturbation of eigenvalues; 7. Positive definite and semi-definite matrices; 8. Positive and nonnegative matrices; Appe ndix A. Complex numbers; Appendix B. Convex sets and functions; Appendi x C. The fundamental theorem of algebra; Appendix D. Continuous depende nce of the zeroes of a polynomial on its coefficients; Appendix E. Cont inuity, compactness, and Weierstrass's theorem; Appendix F. Canonical P airs.

"The thoroughly revised and updated second edition of this acclaimed text has several new and expanded sections and more than 1,100 exercis es"-- Provided by publisher.