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 Kjeldsen					1
	A Gradient Method for Approximating Saddle Points and Constrained Maxima / Leonid Hurwicz					45
	Reduction of Constrained Maxima to Saddle-Point Problems / Leonid Hurwicz					61
	Constraint Qualifications in Maximization Problems / Hirofumi Uzawa					81
	Normality and Abnormality in the Calculus of Variations / Gilbert A. Bliss					99
	A Theorem of Fritz John in Mathematical Programming / Richard W. Cottle					111
	On Conjugate Convex Functions / Werner Fenchel					125
	Programming in Linear Spaces / Leonid Hurwicz					131
	Extremum Problems with Inequalities as Subsidiary Conditions / Fritz John					197
	Minima of Functions of Several Variables with Inequalities as Side Conditions / William Karush					217
	Nonlinear Programming / Albert W. Tucker					247
	Second Order Conditions for Constrained Minima / Garth. P. McCormick					259
	An Indirect Sufficiency Proof for the Problem of Lagrange with Differential Inequalities as Added Side Conditions / Louis L. Pennisi					271
	Lagrange Multipliers Revisited / Morton Slater					293
	The Kuhn-Tucker Theorem in Concave Programming / Hirofumi Uzawa					307
	The Problem of Lagrange with Differential Inequalities as Added Side Conditions / Frederick Albert Valentine					313
	Appendices
	On Linear Inequalities / N.H. McCoy					359
	Nonlinear Programming: A Historical View / Harold W. Kuhn					393
	Recherches sur la Methode de Maximis et Minimis / Joseph L. Lagrange					415

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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 Analysis wiskunde mathematics geschiedenis history computational science Programming, Programming Languages Programmeren, programmeertalen Bibliography Includes bibliographical references Notes Print version record Subject Nonlinear programming. Nonlinear programming -- History Linear programming Linear programming -- History Nonlinear Dynamics Programming, Linear MATHEMATICS -- Applied. MATHEMATICS -- Probability & Statistics -- General. Linear programming Nonlinear programming Genre/Form History Form Electronic book Author Kjeldsen, Tinne Hoff, editor Giorgi, G. (Giorgio), editor. ISBN 9783034804394 3034804393

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