Introduction to matrix analysis
Richard Bellman.
2nd ed.
New York : McGraw-Hill, ©1970.
xxiii, 403 págs. ; 24 cm.
Incluye referencias bibliográficas.
Reseña: MathSciNet, 41 #3493
Contenido
- 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.