Matrix analysis

"The thoroughly revised and updated second edition of this acclaimed text has several new and expanded sections and more than 1,100 exercises"

Détails bibliographiques
Auteurs principaux : Horn Roger A. (Auteur), Johnson Charles R. (Auteur)
Format : Livre
Langue : anglais
Titre complet : Matrix analysis / Roger A. Horn,... Charles R. Johnson
Édition : 2nd edition
Publié : New York (N.Y.), Cambridge : Cambridge University Press , 2013
Description matérielle : 1 vol. (XVIII-643 p.)
Contenu : Contient des exercices
Sujets :
  • 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