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    Nonlinear Programming: Theory and Algorithms (Repost)

    Posted By: AvaxGenius
    Nonlinear Programming: Theory and Algorithms (Repost)

    Nonlinear Programming: Theory and Algorithms by Mokhtar S. Bazaraa
    English | PDF | 2006 | 853 Pages | ISBN : 0471486000 | 54.12 MB

    Comprehensive Coverage of nonlinear programming theory and algorithms, throughly 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 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
    Important features of the Third Edition include:

    New topics such as second interior point methods, nonconvex optimization, nondifferentiable optimization, and more
    Updated discussion and new applications in each chapter
    Detailed numerical examples and graphical illustrations
    Essential coverage of modeling and formulating nonlinear programs
    Simple numerical problems
    Advanced theoretical exercises
    The 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.
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