Theory of Duality in Mathematical Programming by Manfred WalkTheory of Duality in Mathematical Programming by Manfred Walk

Theory of Duality in Mathematical Programming

byManfred Walk

Hardcover | April 10, 1989

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Courses on mathematical programming are now part of standard teaching programs of universities and institutes. The aim of this book is to introduce students of mathematics, economics, technology and other related subjects to the qualitative theory of mathematical programming in paired vector spaces. Prerequisite for the study of this book is only a basic knowledge of analysis, of elements of functional analysis and linear algebra. The application of elementary ideas of functional analysis is convenient for a more rigorous construction of proofs and for some generalizations of the finite dimensional theory on infinite dimensional Banach-spaces. An important feature of this book is the use of a principle of duality to formulate the theoretical basis of many different concrete programming problems. The main idea of the book is to present relations of duality and to construct a general theoretical basis for different special programming problems.
Title:Theory of Duality in Mathematical ProgrammingFormat:HardcoverDimensions:177 pagesPublished:April 10, 1989Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3211820574

ISBN - 13:9783211820575

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Table of Contents

Contents: Convex sets and convex functions.- Theory of duality.- Dual problems of optimization.- Literature.- Notation Index.- Subject Index.