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Title Traces and emergence of nonlinear programming / edited by Tinne Hoff Kjeldsen, Giorgio Giorgi
Published Basel : Birkhäuser, 2013
Table of Contents
 A Historical View of Nonlinear Programming: Traces and Emergence / Tinne Hoff Kjeldsen1
 A Gradient Method for Approximating Saddle Points and Constrained Maxima / Leonid Hurwicz45
 Reduction of Constrained Maxima to Saddle-Point Problems / Leonid Hurwicz61
 Constraint Qualifications in Maximization Problems / Hirofumi Uzawa81
 Normality and Abnormality in the Calculus of Variations / Gilbert A. Bliss99
 A Theorem of Fritz John in Mathematical Programming / Richard W. Cottle111
 On Conjugate Convex Functions / Werner Fenchel125
 Programming in Linear Spaces / Leonid Hurwicz131
 Extremum Problems with Inequalities as Subsidiary Conditions / Fritz John197
 Minima of Functions of Several Variables with Inequalities as Side Conditions / William Karush217
 Nonlinear Programming / Albert W. Tucker247
 Second Order Conditions for Constrained Minima / Garth. P. McCormick259
 An Indirect Sufficiency Proof for the Problem of Lagrange with Differential Inequalities as Added Side Conditions / Louis L. Pennisi271
 Lagrange Multipliers Revisited / Morton Slater293
 The Kuhn-Tucker Theorem in Concave Programming / Hirofumi Uzawa307
 The Problem of Lagrange with Differential Inequalities as Added Side Conditions / Frederick Albert Valentine313
 On Linear Inequalities / N.H. McCoy359
 Nonlinear Programming: A Historical View / Harold W. Kuhn393
 Recherches sur la Methode de Maximis et Minimis / Joseph L. Lagrange415
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Description 1 online resource
Contents Preface and Acknowledgements -- Introductory Chapter: A Historical View of Nonlinear Programming: Traces and Emergence -- 18 historical articles
Summary The book contains reproductions of the most important papers that gave birth to the first developments in nonlinear programming. Of particular interest is W. Karush's often quoted Master Thesis, which is published for the first time. The anthology includes an extensive preliminary chapter, where the editors trace out the history of mathematical programming, with special reference to linear and nonlinear programming
Bibliography Includes bibliographical references
Notes Print version record
Subject Nonlinear programming.
Nonlinear programming -- History.
Linear programming.
Linear programming -- History.
Nonlinear Dynamics.
Programming, Linear.
Genre/Form History.
Form Electronic book
Author Kjeldsen, Tinne Hoff, editor
Giorgi, G. (Giorgio), editor
ISBN 3034804393 (electronic bk.)
9783034804394 (electronic bk.)