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

Functional Analysis, Optimization, and Mathematical Economics

A Collection of Papers Dedicated to the Memory of Leonid Vital'evich Kantorovich

By: Lev J. Leifman (Editor)

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This is a collection of papers on the work of Leonid Kantorovich, a Russian mathematician and economist, and a leading contributor to the fields of optimization and mathematical economics. Kantorovich invented linear programming then applied this theory to optimal macroeconomic planning in a socialist economy, for which he received the Nobel Prize. The book is dedicated to the memory of Kantorovich, who died in 1986. It contains original contributions from several researchers in the USSR never before available in the U.S. It is organized in a logical sequence, from mathematics to the applications of the theories to concrete problems. The work is fully illustrated.

1: V.L. Makarov and S.L. Sobolev: Academician L.V. Kantorovich (19 January, 1912--7 April, 1986) 2: L.V. Kantorovich: My Journey in Science 3: Silver Medal 4: Ya A. Fet: On L.V. Kantorovich's Research in the Field of Computer Architecture 5: M.G. Krein, B. Ya Levin, and A.A. Nudel'man: On Special Representations of Polynomials That are Positive on a System of Closed Intervals, and Some Applications 6: S.S. Kutateladze: New Possibilities for K-Spaces 7: A.I. Veksler: The Integral Representability of Extended Functionals on Vector Lattices and Cones 8: Yu. A. Abramovich: When Each Continuous Operator is Regular 9: V.L. Levin: General Monge-Kantorovich Problem and its Application in Measure Theory and Mathematical Economics 10: G.L. Thompson: A Lagrangian Transportation Problem Relaxation Method for Solving Problem A. of L.V. Kantorovich 11: H. Hollatz: Some Numerical and Practical Problems in Linear Programming 12: A. Prékopa: Totally Positive Linear Programming Problems 13: J.B. Rosen: Minimum Norm Solution to the Linear Complementarity Problem 14: O.L. Mangasarian: Least Norm Solution of Non-Monotone Linear Complementarity Problem 15: M. Dror and S.I. Gass: A Case for Interactive Multiobjective Linear Programming 16: K.H. Elster: On Duality Results in Nonconvex Optimization 17: Hoang Tuy: On Polyhedral Annexation Method for Concave Minimization 18: L.J. Leifman: Combinatorial Optimization: Accuracy vs. Complexity and Stability 19: M. Balinski and D. Gale: On the Core of the Assignment Game 20: A.M. Vershik and A.G. Chernyakov: Fields of Convex Polyhedra and Pareto-Smale Optimum 21: H. Uzawa: Optimum Patterns of Capital Accumulation and External Indebtedness in a Two-Sector Model of Economic Growth

ISBN: 9780195057294
ISBN-10: 0195057295
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 356
Published: 26th July 1990
Country of Publication: GB
Dimensions (cm): 24.13 x 16.51  x 2.54
Weight (kg): 0.77