Matrix analysis
By: Roger A. Horn, Charles R. Johnson
Contributors: Johnson, Charles R.
Edition: 2nd ed.
Publisher: Cambridge University Press
Published: 2012
Place of publication: Cambridge; New York
Language: eng
ISBN-13: 9780521839402
Subjects: MATHEMATICS / Algebra / Abstract; Matrices
Description: "The thoroughly revised and updated second edition of this acclaimed text has several new and expanded sections and more than 1,100 exercises"--
Notes: Includes bibliographical references and index.
Table of contents: title: Machine generated contents note: 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 semi-definite 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. Continuous dependence of the zeroes of a polynomial on its coefficients; Appendix E. Continuity, compactness, and Weierstrass's theorem; Appendix F. Canonical Pairs.