Minimax and Applications

Minimax and Applications
Author :
Publisher : Springer Science & Business Media
Total Pages : 300
Release :
ISBN-10 : 9781461335573
ISBN-13 : 1461335574
Rating : 4/5 (73 Downloads)

Book Synopsis Minimax and Applications by : Ding-Zhu Du

Download or read book Minimax and Applications written by Ding-Zhu Du and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Minimax and Applications Related Books

Minimax and Applications
Language: en
Pages: 300
Authors: Ding-Zhu Du
Categories: Computers
Type: BOOK - Published: 2013-12-01 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Techniques and principles of minimax theory play a key role in many areas of research, including game theory, optimization, and computational complexity. In gen
Minimax Theorems
Language: en
Pages: 168
Authors: Michel Willem
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Many boundary value problems are equivalent to Au=O (1) where A : X --+ Y is a mapping between two Banach spaces. When the problem is variational, there exists
Minimax Methods in Critical Point Theory with Applications to Differential Equations
Language: en
Pages: 110
Authors: Paul H. Rabinowitz
Categories: Mathematics
Type: BOOK - Published: 1986-07-01 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The book provides an introduction to minimax methods in critical point theory and shows their use in existence questions for nonlinear differential equations. A
Minimax Theory and Applications
Language: en
Pages: 278
Authors: Biagio Ricceri
Categories: Mathematics
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The present volume contains the proceedings of the workshop on "Minimax Theory and Applications" that was held during the week 30 September - 6 October 1996 at
Morse Theory, Minimax Theory and Their Applications to Nonlinear Differential Equations
Language: en
Pages: 0
Authors: Haim Brézis
Categories: Chebyshev approximation
Type: BOOK - Published: 2003 - Publisher:

DOWNLOAD EBOOK

This volume contains both survey and creative papers dealing with Morse theory, minimax theory, iteration theory of Maslov-type index and critical minimization