Table of contents

Foreword;
Preface to the Second Edition;
Preface;
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;
Index.