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Nonhomogeneous Matrix Products.
Infinite products of matrices are used in nonhomogeneous Markov chains, Markov set-chains, demographics, probabilistic automata, production and manpower systems, tomography, and fractals. More recent results have been obtained in computer design of curves and surfaces. This book puts together much o...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
World Scientific Publishing Company,
2001.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 1. Introduction
- 2. Functionals. 2.1. Projective and Hausdorff metrics. 2.2. Contraction coefficients. 2.3. Measures of irreducibility and full indecomposability. 2.4. Spectral radius. 2.5. Research notes
- 3. Semigroups of matrices. 3.1. Limiting sets. 3.2. Bounded semigroups. 3.3. Research notes
- 4. Patterned matrices. 4.1. Scrambling matrices. 4.2. Sarymsakov matrices. 4.3. Research notes
- 5. Ergodicity. 5.1. Birkhoff coefficient results. 5.2. Direct results. 5.3. Research notes
- 6. Convergence. 6.1. Reduced matrices. 6.2. Convergence to 0. 6.3. Results on II (Uk + Ak). 6.4. Joint eigenspaces. 6.5. Research notes
- 7. Continuous convergence. 7.1. Sequence spaces and convergence. 7.2. Canonical forms. 7.3. Coefficients and continuous convergence. 7.4. Research notes
- 8. Paracontracting. 8.1. Convergence. 8.2. Types of trajectories. 8.3. Research notes
- 9. Set convergence. 9.1. Bounded semigroups. 9.2. Contraction coefficient results. 9.3. Convexity in convergence. 9.4. Research notes
- 10. Perturbations in matrix sets. 10.1. Subspace coefficient results. 10.2. Birkhoff coefficient results. 10.3. Research notes
- 11. Graphics. 11.1. Maps. 11.2. Graphing curves. 11.3. Graphing fractals. 11.4. Research notes. 11.5. MATLAB codes
- 12. Slowly varying products. 12.1. Convergence to 0. 12.2. Estimates of Xk from current matrices. 12.3. State estimates from fluctuating matrices. 12.4. Quotient spaces. 12.5. Research notes
- 13. Systems. 13.1. Projective maps. 13.2. Demographic problems. 13.3. Business, man power, production systems. 13.4. Research notes. 13.5. MATLAB codes.