9780792336150 - Minimax and Applications: 4 (Nonconvex Optimization and Its Applications) von Du, Dingzhu (3 Ergebnisse)

Zustand: New. In.

Gebunden. Zustand: New. 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 fun.

Buch. Zustand: Neu. Neuware - 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.