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.
Da: Better World Books Ltd, Dunfermline, Regno Unito
Condizione: Very Good. Former library copy. Pages intact with possible writing/highlighting. Binding strong with minor wear. Dust jackets/supplements may not be included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Codice articolo 15720524-20
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Paperback. Condizione: New. Second Edition. Long considered to be a classic in its field, this 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. Written in lucid, concise terms, this volume covers all the key aspects of matrix analysis and presents a variety of fundamental methods. Originally published in 1970, this book replaces the first edition previously published by SIAM in the Classics series.Here you will find a basic guide to operations with matrices and the theory of symmetric matrices, plus an understanding of general square matrices, origins of Markov matrices and non-negative matrices in general, minimum-maximum characterization of characteristic roots, Krnoecker products, functions of matrices, and much more. These ideas and methods will serve as powerful analytical tools.In addition, this volume includes exercises of all levels of difficulty and many references to original papers containing further results. The problem sections contain many useful and interesting results that are not easily found elsewhere. A discussion of the theoretical treatment of matrices in the computational solution of ordinary and partial differential equations, as well as important chapters on dynamic programming and stochastic matrices are also included. Codice articolo LU-9780898713992
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Paperback. Condizione: Brand New. 2nd edition. 430 pages. 9.25x6.25x1.00 inches. In Stock. Codice articolo __0898713994
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Condizione: New. 1997. 2nd Edition. paperback. . . . . . Codice articolo V9780898713992
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