Functional Analysis, Optimization, and Mathematical Economics: A Collection of Papers Dedicated to…

Hardcover | April 30, 1999

EditorLev J. LeifmanForeword byWassily Leontief

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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 asocialist 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 theapplications of the theories to concrete problems. The work is fully illustrated.

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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 asocialist economy, for which he received the...

Lev J. Leifman is at American Mathematical Society.

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Format:HardcoverDimensions:360 pages, 9.21 × 6.14 × 0.1 inPublished:April 30, 1999Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0195057295

ISBN - 13:9780195057294

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Table of Contents

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 Science3. Silver Medal4. Ya A. Fet: On L.V. Kantorovich's Research in the Field of Computer Architecture5. 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 Applications6. S.S. Kutateladze: New Possibilities for K-Spaces7. A.I. Veksler: The Integral Representability of Extended Functionals on Vector Lattices and Cones8. Yu. A. Abramovich: When Each Continuous Operator is Regular9. V.L. Levin: General Monge-Kantorovich Problem and its Application in Measure Theory and Mathematical Economics10. G.L. Thompson: A Lagrangian Transportation Problem Relaxation Method for Solving Problem A. of L.V. Kantorovich11. H. Hollatz: Some Numerical and Practical Problems in Linear Programming12. A. Prekopa: Totally Positive Linear Programming Problems13. J.B. Rosen: Minimum Norm Solution to the Linear Complementarity Problem14. O.L. Mangasarian: Least Norm Solution of Non-Monotone Linear Complementarity Problem15. M. Dror and S.I. Gass: A Case for Interactive Multiobjective Linear Programming16. K.H. Elster: On Duality Results in Nonconvex Optimization17. Hoang Tuy: On Polyhedral Annexation Method for Concave Minimization18. L.J. Leifman: Combinatorial Optimization: Accuracy vs. Complexity and Stability19. M. Balinski and D. Gale: On the Core of the Assignment Game20. A.M. Vershik and A.G. Chernyakov: Fields of Convex Polyhedra and Pareto-Smale Optimum21. H. Uzawa: Optimum Patterns of Capital Accumulation and External Indebtedness in a Two-Sector Model of Economic Growth