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Linear Programming in Infinite-dimensional Spaces
Edward J. AndersonPeter Nash
其他書名
Theory and Applications
出版Wiley, 1987
主題Mathematics / AppliedMathematics / Linear & Nonlinear ProgrammingScience / System Theory
ISBN04719125069780471912507
URLhttp://books.google.com.hk/books?id=XGVRAAAAMAAJ&hl=&source=gbs_api
註釋This book provides a survey of linear programming in semi-infinite and infinite-dimensional spaces. It includes a treatment of duality theory and of the fundamental theory of simplex-like algorithms for linear programs posed over vector spaces which may be infinite-dimensional. However, more than half the book is devoted to a detailed investigation of various types of infinite-dimensional linear program which occur, for example, in approximation theory, optimal control theory, dynamic networks, mass transfer problems and structural design. The approach is inductive; specific problems and algorithms are discussed in detail and the authors proceed from these to more general concepts and results.