Functional analysis, optimization, and mathematical economics : a collection of papers dedicated to the memory of Leonid Vital'evich Kantorovich

著者

書誌事項

Functional analysis, optimization, and mathematical economics : a collection of papers dedicated to the memory of Leonid Vital'evich Kantorovich

with foreword by Wassily Leontief ; edited by Lev J. Leifman

Oxford University Press, 1990

大学図書館所蔵 件 / 全48件

この図書・雑誌をさがす

注記

Includes bibliographies and index

内容説明・目次

内容説明

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.

目次

  • 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.

「Nielsen BookData」 より

詳細情報

ページトップへ