Minimax Algebra
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Minimax Algebra
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Author : R. A. Cuninghame-Green
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Minimax Algebra written by R. A. Cuninghame-Green and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
A number of different problems of interest to the operational researcher and the mathematical economist - for example, certain problems of optimization on graphs and networks, of machine-scheduling, of convex analysis and of approx imation theory - can be formulated in a convenient way using the algebraic structure (R,$,@) where we may think of R as the (extended) real-number system with the binary combining operations x$y, x®y defined to be max(x,y),(x+y) respectively. The use of this algebraic structure gives these problems the character of problems of linear algebra, or linear operator theory. This fact hB.s been independently discovered by a number of people working in various fields and in different notations, and the starting-point for the present Lecture Notes was the writer's persuasion that the time had arrived to present a unified account of the algebra of linear transformations of spaces of n-tuples over (R,$,®),to demonstrate its relevance to operational research and to give solutions to the standard linear-algebraic problems which arise - e.g. the solution of linear equations exactly or approximately, the eigenvector eigenvalue problem andso on.Some of this material contains results of hitherto unpublished research carried out by the writer during the years 1970-1977.
Minimax Algebra
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Author : Raymond Cuninghame-Green
language : de
Publisher:
Release Date : 1979
Minimax Algebra written by Raymond Cuninghame-Green and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
Introduction To Minimax
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Author : V. F. Dem’yanov
language : en
Publisher: Courier Corporation
Release Date : 2014-03-05
Introduction To Minimax written by V. F. Dem’yanov and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-05 with Mathematics categories.
Geared toward students of mathematical programming, this user-friendly text offers a thorough introduction to the part of optimization theory that lies between approximation theory and mathematical programming. 37 illustrations. 1974 edition.
Matrix Decomposition In Minimax Algebra And Applications In Image Processing
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Author : Peter Sussner
language : en
Publisher:
Release Date : 1996
Matrix Decomposition In Minimax Algebra And Applications In Image Processing written by Peter Sussner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Solving An Eigenvalve Eigenvector Problem In Minimax Algebra
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Author : Alan T. Gibby
language : en
Publisher:
Release Date : 1982
Solving An Eigenvalve Eigenvector Problem In Minimax Algebra written by Alan T. Gibby and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Algebra categories.
Minimax And Applications
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Author : Ding-Zhu Du
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Minimax And Applications written by Ding-Zhu Du and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Computers categories.
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.
Advances In Imaging And Electron Physics
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Author :
language : en
Publisher: Academic Press
Release Date : 1995-02-06
Advances In Imaging And Electron Physics written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-02-06 with Technology & Engineering categories.
Advances in Imaging and Electron Physics
Introduction To Minimax
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Author : Vladimir Fedorovich Demʹi͡anov
language : en
Publisher: Halsted Press
Release Date : 1974-01-01
Introduction To Minimax written by Vladimir Fedorovich Demʹi͡anov and has been published by Halsted Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-01-01 with Mathematical optimization categories.
Introduction To Minimax
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Author : Vladimir F. Dem'Yanov
language : en
Publisher:
Release Date : 1990
Introduction To Minimax written by Vladimir F. Dem'Yanov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Maximos y minimos categories.
Minimax Theory And Applications
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Author : Biagio Ricceri
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Minimax Theory And Applications written by Biagio Ricceri and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
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 the "G. Stampacchia" International School of Mathematics of the "E. Majorana" Centre for Scientific Cul ture in Erice (Italy) . The main theme of the workshop was minimax theory in its most classical meaning. That is to say, given a real-valued function f on a product space X x Y , one tries to find conditions that ensure the validity of the equality sup inf f(x,y) = inf sup f(x, y). yEY xEX xEX yEY This is not an appropriate place to enter into the technical details of the proofs of minimax theorems, or into the history of the contribu tions to the solution of this basic problem in the last 7 decades. But we do want to stress its intrinsic interest and point out that, in spite of its extremely simple formulation, it conceals a great wealth of ideas. This is clearly shown by the large variety of methods and tools that have been used to study it. The applications of minimax theory are also extremely interesting. In fact, the need for the ability to "switch quantifiers" arises in a seemingly boundless range of different situations. So, the good quality of a minimax theorem can also be judged by its applicability. We hope that this volume will offer a rather complete account of the state of the art of the subject.