Horn, Roger A.
Matrix analysis / Roger A. Horn, Charles R. Johnson. - 2nd ed. - Cambridge ; New York : Cambridge University Press, 2012. - xviii, 643 p. : ill. ; 26 cm.
Includes bibliographical references (p. 517-574) and index.
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.
"The thoroughly revised and updated second edition of this acclaimed text has several new and expanded sections and more than 1,100 exercises"--
9780521839402 (hardback)
2012012300
Matrices.
MATHEMATICS / Algebra / Abstract.
QA188 / .H66 2012
512.9/434
Matrix analysis / Roger A. Horn, Charles R. Johnson. - 2nd ed. - Cambridge ; New York : Cambridge University Press, 2012. - xviii, 643 p. : ill. ; 26 cm.
Includes bibliographical references (p. 517-574) and index.
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.
"The thoroughly revised and updated second edition of this acclaimed text has several new and expanded sections and more than 1,100 exercises"--
9780521839402 (hardback)
2012012300
Matrices.
MATHEMATICS / Algebra / Abstract.
QA188 / .H66 2012
512.9/434
