Nonlinear Programming - Mokhtar S. Bazaraa

Nonlinear Programming
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Autor: Mokhtar S. Bazaraa

 Wydawnictwo: John Wiley Sons
ISBN: 9781118857564
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Oprawa: twarda
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Data wydania: 2014-03-01
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COMPREHENSIVE COVERAGE OF NONLINEAR PROGRAMMING THEORY AND ALGORITHMS, THOROUGHLY REVISED AND EXPANDED"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 programmingOptimality 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 conditionsAlgorithms and their convergence, with a presentation of algorithms for solving both unconstrained and constrained nonlinear programming problemsImportant features of the "Third Edition" include: New topics such as second interior point methods, nonconvex optimization, nondifferentiable optimization, and moreUpdated discussion and new applications in each chapterDetailed numerical examples and graphical illustrationsEssential coverage of modeling and formulating nonlinear programsSimple numerical problemsAdvanced theoretical exercisesThe book is a solid reference for professionals as well as a useful text for students in the fields of operations research, management science, industrial engineering, applied mathematics, and also in engineering disciplines that deal with analytical optimization techniques. The logical and self-contained format uniquely covers nonlinear programming techniques with a great depth of information and an abundance of valuable examples and illustrations that showcase the most current advances in nonlinear problems. "The promotional message on the back cover proclaims 'this book is a solid reference for professionals and a useful text for students..."; and I fully agree." ("Technometrics", February 2007)"Noted and recommended for its logical format and sharp editing that never wavers in its focus." ("Electric Review", September/October 2006)."..highly recommended for a course in the theory of nonlinear programming..." ("MAA Reviews", July 17, 2006) '... 'the Bazaraa' is a must if you are interested in optimization...' ("Journal of the Operational Research Society, " 2007)

Książka "Nonlinear Programming"
Mokhtar S. Bazaraa