Nonlinear programming / Mokhtar S. Bazaraa

Public ISBD title : Nonlinear programming : theory and algorithms Type de document : printed text Auteur : Mokhtar S. Bazaraa ; Hanif D. Sherali Mention d'édition : 3rd edition Editeur : Hoboken (N.J.) : Wiley-Interscience Date de publication : 2006 Nombre de pages : 853 p. Ill. : ill. Dimensions : 25 cm ISBN (ou autre code) : 978-0-471-48600-8 Note général : Bibliogr. p. 779-841. Index Langue : English (eng) Mots clé : Nonlinear programming Programmation non linéaire Indexation : 519.7 Résumé : Nonlinear Programming: Theory and Algorithms—now in an extensively updated Third Edition—addresses the problem of optimizing an objective function in the presence of equality and inequality constraints. Many realistic problems cannot be adequately represented as a linear program owing to the nature of the nonlinearity of the objective function and/or the nonlinearity of any constraints. The Third Edition begins with a general introduction to nonlinear programming with illustrative examples and guidelines for model construction. Concentration on the three major parts of nonlinear programming is provided: Convex analysis with discussion of topological properties of convex sets, separation and support of convex sets, polyhedral sets, extreme points and extreme directions of polyhedral sets, and linear programming Optimality conditions and duality with coverage of the nature, interpretation, and value of the classical Fritz John (FJ) and the Karush-Kuhn-Tucker (KKT) optimality conditions; the interrelationships between various proposed constraint qualifications; and Lagrangian duality and saddle point optimality conditions Algorithms and their convergence, with a presentation of algorithms for solving both unconstrained and constrained nonlinear programming problems Nonlinear programming : theory and algorithms [printed text] / Mokhtar S. Bazaraa ; Hanif D. Sherali  . -  3rd edition . - Hoboken (N.J.) : Wiley-Interscience, 2006 . - 853 p. : ill. ; 25 cm. ISBN : 978-0-471-48600-8 Bibliogr. p. 779-841. Index Langue : English (eng) Mots clé : Nonlinear programming Programmation non linéaire Indexation : 519.7 Résumé : Nonlinear Programming: Theory and Algorithms—now in an extensively updated Third Edition—addresses the problem of optimizing an objective function in the presence of equality and inequality constraints. Many realistic problems cannot be adequately represented as a linear program owing to the nature of the nonlinearity of the objective function and/or the nonlinearity of any constraints. The Third Edition begins with a general introduction to nonlinear programming with illustrative examples and guidelines for model construction. Concentration on the three major parts of nonlinear programming is provided: Convex analysis with discussion of topological properties of convex sets, separation and support of convex sets, polyhedral sets, extreme points and extreme directions of polyhedral sets, and linear programming Optimality conditions and duality with coverage of the nature, interpretation, and value of the classical Fritz John (FJ) and the Karush-Kuhn-Tucker (KKT) optimality conditions; the interrelationships between various proposed constraint qualifications; and Lagrangian duality and saddle point optimality conditions Algorithms and their convergence, with a presentation of algorithms for solving both unconstrained and constrained nonlinear programming problems

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