Functional Analysis, Optimization, and Mathematical Economics
A Collection of Papers Dedicated to the Memory of Leonid Vital'evich Kantorovich
Published on 29. November 1990
Book
Hardback
360 pages
978-0-19-505729-4 (ISBN)
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.
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.
More details
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Illustrations
frontispiece, line illustrations
Dimensions
Height: 241 mm
Width: 159 mm
Thickness: 26 mm
Weight
769 gr
ISBN-13
978-0-19-505729-4 (9780195057294)
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Schweitzer Classification
Persons
Content
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.