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.
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.
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