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

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


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About the Book

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.

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 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


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Product Details
  • ISBN-13: 9780195057294
  • Publisher: Oxford University Press Inc
  • Publisher Imprint: Oxford University Press Inc
  • Height: 241 mm
  • No of Pages: 360
  • Sub Title: A Collection of Papers Dedicated to the Memory of Leonid Vital'evich Kantorovich
  • Width: 159 mm
  • ISBN-10: 0195057295
  • Publisher Date: 29 Nov 1990
  • Binding: Hardback
  • Language: English
  • Spine Width: 26 mm
  • Weight: 769 gr


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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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