Lucid and concise, this volume covers all the key aspects of matrix analysis and presents a variety of fundamental methods.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Written in lucid, concise terms, this classic in its field was the first book in English to include three basic fields of the analysis of matrices - symmetric matrices and quadratic forms, matrices and differential equations, and positive matrices and their use in probability theory and mathematical economics.
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.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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