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Studies in linear and non-linear programming

Author: Arrow, Kenneth ; Hurwicz, Leonid ; Uzawa, HirofumiPublisher: Stanford University Press, 1958.Language: EnglishDescription: 229 p. ; 26 cm.Type of document: BookBibliography/Index: Includes bibliographical references and index
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Includes bibliographical references and index

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Studies in Linear and Non-Linear Programming Contents 1 INTRODUCTION Kenneth J. Arrow and Hirofumi Uzawa PART I. EXISTENCE THEOREMS 2 A THEOREM ON CONVEX POLYHEDRAL CONES Hirofumi Uzawa 3 THE KUHN-TUCKER THEOREM IN CONCAVE PROGRAMMING Hirofumi Uzawa 4 PROGRAMMING IN LINEAR SPACES Leonid Hurwicz 5 A NOTE ON THE LAGRANGIAN SADDLE-POINTS Leonid Hurwicz and Hirofumi Uzawa PART II. GRADIENT METHOD 6 GRADIENT METHOD FOR CONCAVE PROGRAMMING, I: LOCAL RESULTS Kenneth J. Arrow and Leonid Hurwicz 7 GRADIENT METHOD FOR CONCAVE PROGRAMMING, II: GLOBAL STABILITY IN THE STRICTLY CONCAVE CASE Hirofumi Uzawa 8 GRADIENT METHOD FOR CONCAVE PROGRAMMING, III: FURTHER GLOBAL RESULTS AND APPLICATIONS TO RESOURCE ALLOCATION Kenneth J. Arrow and Leonid Hurwicz 9 AN EXAMPLE OF A MODIFIED GRADIENT METHOD FOR LINEAR PROGRAMMING Thomas Marschak 10 ITERATIVE METHODS FOR CONCAVE PROGRAMMING Hirofumi Uzawa 11 GRADIENT METHODS FOR CONSTRAINED MAXIMA, WITH WEAK ENED ASSUMPTIONS Kenneth J. Arrow and Robert M. Solow PART III. METHODS OF LINEAR AND QUADRATIC PROGRAMMING 12 AN ELEMENTARY METHOD FOR LINEAR PROGRAMMING Hirofumi Uzawa 13 PRICE SPECULATION UNDER CERTAINTY Kenneth J. Arrow and Samuel Karlin 14 A FEASIBILITY ALGORITHM FOR ONE-WAY SUBSTITUTION IN PROCESS ANALYSIS Kenneth J. Arrow and Selmer M. Johnson 15 NON-LINEAR PROGRAMMING IN ECONOMIC DEVELOPMENT Hollis B. Chenery and Hirofumi Uzawa 1 23 32 38 103 117 127 133 146 154 166 179 189 198 203

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