Band 4
Minimax and Applications
Aus der Reihe
Nonconvex Optimization and Its Applications
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- Hardcover
- Taschenbuch ausgewählt
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Sprache:Englisch
Fr. 191.00
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
14.10.2011
Herausgeber
Ding-Zhu Du + weitereVerlag
Springer UsSeitenzahl
296
Maße (L/B/H)
24/16/1.7 cm
Gewicht
501 g
Auflage
1995
Sprache
Englisch
ISBN
978-1-4613-3559-7
Techniques and principles of minimax theory play a key role in many areas of research, including game theory, optimization, and computational complexity. In general, a minimax problem can be formulated as min max f(x, y) (1) ",EX !lEY where f(x, y) is a function defined on the product of X and Y spaces. There are two basic issues regarding minimax problems: The first issue concerns the establishment of sufficient and necessary conditions for equality minmaxf(x,y) = maxminf(x,y). (2) "'EX !lEY !lEY "'EX The classical minimax theorem of von Neumann is a result of this type. Duality theory in linear and convex quadratic programming interprets minimax theory in a different way. The second issue concerns the establishment of sufficient and necessary conditions for values of the variables x and y that achieve the global minimax function value f(x*, y*) = minmaxf(x, y). (3) "'EX !lEY There are two developments in minimax theory that we would like to mention.
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