Idempotent Analysis and Its Applications
The first chapter deals with idempotent analysis per se . To make the pres- tation self-contained, in the first two sections we define idempotent semirings, give a concise exposition of idempotent linear algebra, and survey some of its applications. Idempotent linear algebra studies the properties o...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1997, 1997
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| Edition: | 1st ed. 1997 |
| Series: | Mathematics and Its Applications
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1 Idempotent Analysis
- 2 Analysis of Operators on Idempotent Semimodules
- 3 Generalized Solutions of Bellman’s Differential Equation
- 4 Quantization of the Bellman Equation and Multiplicative Asymptotics
- References
- Appendix (Pierre Del Moral). Maslov Optimization Theory. Optimality versus Randomness
- 1 Maslov’s Integration Theory
- 2 Performance Theory
- 3 Lebesgue-Maslov Semirings
- 4 Convergence Modes
- 5 Optimization Processes
- 6 Applications
- 7 Maslov and Markov Processes
- 8 Nonlinear Filtering and Deterministic Optimization
- 9 Monte-Carlo Principles
- 10 Particle Interpretations
- 11 Convergence
- Conclusions
- References