Roger A. Horn (The Johns Hopkins University), Charles R. Johnson

Matrix Analysis

• Broschiertes Buch

Produktbeschreibung

The thoroughly revised and updated second edition of this acclaimed text for a second course on linear algebra has more than 1,100 problems and exercises, along with new sections on the singular value and CS decompositions and the Weyr canonical form, expanded treatments of inverse problems and of block matrices and much more.

Produktdetails

• Verlag: Cambridge University Press
• 2., überarb. Aufl.
• Seitenzahl: 662
• Erscheinungstermin: 20. Dezember 2012
• Englisch
• Abmessung: 254mm x 178mm x 36mm
• Gewicht: 1118g
• ISBN-13: 9780521548236
• ISBN-10: 0521548233
• Artikelnr.: 36137594

Autorenporträt

Roger A. Horn is a Research Professor in the Department of Mathematics at the University of Utah. He is co-author of Topics in Matrix Analysis (Cambridge University Press, 1994).

Inhaltsangabe

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' theorem; Appendix F. Canonical pairs.