Idempotent Analysis and Its Applications
(Sprache: Englisch)
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....
Leider schon ausverkauft
versandkostenfrei
Buch (Kartoniert)
208.60 €
Produktdetails
Produktinformationen zu „Idempotent Analysis and Its Applications “
Klappentext zu „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 of the semirn- ules An , n E N , over a semiring A with idempotent addition; in other words, it studies systems of equations that are linear in an idempotent semiring. Pr- ably the first interesting and nontrivial idempotent semiring , namely, that of all languages over a finite alphabet, as well as linear equations in this sern- ing, was examined by S. Kleene [107] in 1956 . This noncommutative semiring was used in applications to compiling and parsing (see also [1]) . Presently, the literature on idempotent algebra and its applications to theoretical computer science (linguistic problems, finite automata, discrete event systems, and Petri nets), biomathematics, logic , mathematical physics , mathematical economics, and optimizat ion, is immense; e. g. , see [9, 10, 11, 12, 13, 15, 16 , 17, 22, 31 , 32, 35,36,37,38,39 ,40,41,52,53 ,54,55,61,62 ,63,64,68, 71, 72, 73,74,77,78, 79,80,81,82,83,84,85,86,88,114,125 ,128,135,136, 138,139,141,159,160, 167,170,173,174,175,176,177,178,179,180,185,186 , 187, 188, 189]. In 1. 2 we present the most important facts of the idempotent algebra formalism . The semimodules An are idempotent analogs of the finite-dimensional v- n, tor spaces lR and hence endomorphisms of these semi modules can naturally be called (idempotent) linear operators on An .
Inhaltsverzeichnis zu „Idempotent Analysis and Its Applications “
Preface. 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: (P. Del Moral) Maslov Optimziation Theory. Optimality versus Randomness. Index.
Bibliographische Angaben
- Autoren: Vassili N. Kolokoltsov , Viktor P. Maslov
- 2010, Softcover reprint of the original 1st ed. 1997., 305 Seiten, Maße: 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer Netherlands
- ISBN-10: 9048148340
- ISBN-13: 9789048148349
Sprache:
Englisch
Kommentar zu "Idempotent Analysis and Its Applications"
0 Gebrauchte Artikel zu „Idempotent Analysis and Its Applications“
Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
---|
Schreiben Sie einen Kommentar zu "Idempotent Analysis and Its Applications".
Kommentar verfassen