Buch, Englisch, Band 21, 258 Seiten, Paperback, Format (B × H): 160 mm x 240 mm, Gewicht: 446 g
Buch, Englisch, Band 21, 258 Seiten, Paperback, Format (B × H): 160 mm x 240 mm, Gewicht: 446 g
Reihe: Theory and Decision Library B
ISBN: 978-94-010-5225-2
Verlag: Springer Netherlands
Zielgruppe
Research
Fachgebiete
Weitere Infos & Material
1. General Computation Model.- 1. Basic concepts.- 2. Functional classes under consideration.- 3. Classes of deterministic algorithms.- 4. Minimax concept of optimality and specific notions of optimality.- 5. Comparison of the best guaranteed results for adaptive and nonadaptive algorithms.- 6. Sequentially optimal algorithms.- 7. Stochastic algorithms.- 2. Numerical Integration.- 1. Optimal quadratures for functional classes determined by quasi-metrics.- 2. Optimal quadratures for functional classes determined by moduli of continuity.- 3. Sequentially optimal and one-step optimal integration algorithms.- 4. Numerical tests.- 5. Optimal computation of iterated integrals.- 6. Computation of multiple integrals using Peano type developments.- 3. Recovery of Functions from Their Values.- 1. Optimal nonadaptive algorithms.- 2. Sequentially optimal and one-step optimal recovery algorithms.- 3. Solution of a multistep antagonistic game related to the problem of optimal recovery.- 4. Search for the Global Extremum.- 1. On the choice of starting points for local optimization methods.- 2. Optimal nonadaptive search for a functional class determined by a quasi-metric.- 3. Reduction of the problem of constructing a sequentially optimal algorithm for a functional dass determined by a quasi-metric to aseries of problems of optimal covering.- 4. Specific computational algorithms.- 5. Case of approximate information.- 6. One-step optimal stochastic algorithm.- 5. Some Special Classes of Extremal Problems.- 1. Solution of equations and systems of equations.- 2. Maximization of a minimum function with coupled variables.- 3. Optimization with several criteria.- Author Index.