Introduction to matrix analysis / Richard Bellman.
Editor: New York : McGraw-Hill, c1970Edición: 2nd edDescripción: xxiii, 403 p. ; 24 cmTema(s): Matrices | Mathematical analysisOtra clasificación: 15-01 (26-01 65-01 93-01)1. Maximization, minimization, and motivation2. Vectors and matrices3. Diagonalization and canonical forms for symmetric matrices4. Reduction of general symmetric matrices to diagonal form5. Constrained maxima6. Functions of matrices7. Variational description of characteristic roots8. Inequalities9. Dynamic programming10. Matrices and differential equations11. Explicit solutions and canonical forms12. Symmetric function, Kronecker products and circulants13. Stability theory14. Markoff matrices and probability theory15. Stochastic matrices16. Positive matrices, Perron's theorem, and mathematical economics17. Control processes18. Invariant imbedding19. Numerical inversion of the Laplace transform and Tychonov regularizationAppendix A, Linear equations and rankAppendix B, The quadratic form of SelbergAppendix C, A method of HermiteAppendix D, Moments and quadratic forms.
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Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 15 B445 (Browse shelf) | Available | A-4162 |
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1. Maximization, minimization, and motivation -- 2. Vectors and matrices -- 3. Diagonalization and canonical forms for symmetric matrices -- 4. Reduction of general symmetric matrices to diagonal form -- 5. Constrained maxima -- 6. Functions of matrices -- 7. Variational description of characteristic roots -- 8. Inequalities -- 9. Dynamic programming -- 10. Matrices and differential equations -- 11. Explicit solutions and canonical forms -- 12. Symmetric function, Kronecker products and circulants -- 13. Stability theory -- 14. Markoff matrices and probability theory -- 15. Stochastic matrices -- 16. Positive matrices, Perron's theorem, and mathematical economics -- 17. Control processes -- 18. Invariant imbedding -- 19. Numerical inversion of the Laplace transform and Tychonov regularization -- Appendix A, Linear equations and rank -- Appendix B, The quadratic form of Selberg -- Appendix C, A method of Hermite -- Appendix D, Moments and quadratic forms.
MR, 41 #3493
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