Functional Analysis, Optimization, and Mathematical Economics : A Collection of Papers Dedicated to the Memory of Leonid Vital'evich Kantorovich

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Functional Analysis, Optimization, and Mathematical Economics : A Collection of Papers Dedicated to the Memory of Leonid Vital'evich Kantorovich

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  • 製本 Hardcover:ハードカバー版／ページ数 356 p.
  • 言語 ENG
  • 商品コード 9780195057294
  • DDC分類 330.0151

基本説明

A collection of papers dedicated to Leonid Kantorovich: who published in the three areas: functional analysis, optimization, and mathematical economics.

Full Description

This is a collection of papers dedicated to Leonid Kantorovich and his work. Kantorovich was a Russian mathematician and economist who published in the three areas covered in this book: functional analysis, optimization, and mathematical economics.

Kantorovich is credited as being amongst the first inventors of linear programming, the primary technique of optimization. Linear programming consists of creating a matrix of parameters relevant to a system and maximizing the unknown variables using those constraints. Kantorovich then applied this theory to optimal macroeconomic planning in a socialist economy, for which he received the Nobel prize.

The present book is dedicated to the memory of Kantorovich, who died in 1986, but is more than a Festschrift. It contains original contributions from several researchers in the USSR never before seen in the US, which enhances the value of the volume. It is organized in a logical sequence from the mathematics to the applications of the theories to concrete problems.

Contents

V.L. Makarov, S.L. Sobolev: Academician L.V. Kantorovich (19 January, 1912 - 7 April, 1986); L.V. Kantorovich: My journey in science; Silver Medal; Ya.A. Fet: On L.V. Kantorovich's research in the field of computer architecture; M.G. Krein, B.Ya. Levin, A.A. Nudel'man: On special representations of polynomials that are positive on a system of closed intervals, and some applications; S.S. Kutateladze: New possibilities for K-spaces; A.I. Veksler: The integral representability of extended functionals on vector lattices and cones; YU.A. Abramovich: When each continuous operator is regular; V.L. Levin: General Monge-Kantorovich problem and its application in measure theory; G.L. Thompson: A Lasgrangian transportation problem relaxation method for solving Problem A of L.V. Kantorovich; H. Hollatz: Some numerical and practical problems in linear programming; A. Prekopa: Totally positive linear programming problems; J.B. Rosen: Minimum norm solution to the linear complementarity problem; O.L. Mangasarian: Least norm solution of non-monotone linear complementarity problem; M. Dror, S.I. Gass: A case interactive multiobjective linear programming; K-H. Elster: On duality results in nonconvex optimization; Hoang Tuy: On polyhedral annexation method for concave minimization; L.J. Leifman: Combinatorial optimization: accuracy vs complexity and stability; M. Balinski, D. Gale: On the core of the assignment game; A.M. Vershik, A.G. Chernyakov: Fields of convex polyhedra and Pareto-Smale optimum; H. Uzawa: Optimum patterns of capital accumulation and external indebtness in a two-sector model of economic growth.