Matrix analysis /
Horn, Roger A.
Johnson, Charles R.
Cambridge : Cambridge University Press,
2013.
"The thoroughly revised and updated second edition of this acclaimed text has several new and expanded sections and more than 1,100 exercises"--
Includes bibliographical references (p. 517-574) and index.
0. Review and miscellanea -- 1. Eigenvalues, eigenvectors, and similarity -- 2. Unitary similarity and unitary equivalence -- 3. Canonical forms for similarity and triangular factorizations -- 4. Hermitian matrices, symmetric matrices, and congruences -- 5. Norms for vectors and matrices -- 6. Location and perturbation of eigenvalues -- 7. Positive definite and semidefinite matrices -- 8. Positive and nonnegative matrices -- Appendix A. Complex numbers -- Appendix B. Convex sets and functions -- Appendix C. The fundamental theorem of algebra -- Appendix D. Continuity of polynomial zeroes and matrix eigenvalues -- Appendix E. Continuity, compactness, and Weierstrass's theorem -- Appendix F. Canonical Pairs.
"The thoroughly revised and updated second edition of this acclaimed text has several new and expanded sections and more than 1,100 exercises"--
Matrices.