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雷达卡
Mokhtar S. Bazaraa, Hanif D. Sherali, C. M. Shetty, Nonlinear Programming: Theory and Algorithms
Publisher: Wiley-Interscience | Number Of Pages: 872 | Publication Date: 2006-05-05 | ISBN / ASIN: [url=]0471486000[/url]
NonlinearProgramming: Theory and Algorithms-now in an extensivelyupdated ThirdEdition- addresses the problem of optimizing an objectivefunction inthe presence of equality and inequality constraints. Manyrealisticproblems cannot be adequately represented as a linear programowing tothe nature of the nonlinearity of the objective functionand/or thenonlinearity of any constraints. The Third Edition beginswith a generalintroduction to nonlinear programming with illustrativeexamples andguidelines for model construction.
Concentration on the three major parts of nonlinear programming is provided:
*Convex analysis with discussion of topological properties ofconvexsets, separation and support of convex sets, polyhedral sets,extremepoints and extreme directions of polyhedral sets, and linearprogramming
* Optimality conditions and duality with coverage of thenature,interpretation, and value of the classical Fritz John (FJ) andtheKarush-Kuhn-Tucker (KKT) optimality conditions; theinterrelationshipsbetween various proposed constraint qualifications;and Lagrangianduality and saddle point optimality conditions
*Algorithms and their convergence, with a presentation of algorithmsforsolving both unconstrained and constrained nonlinear programmingproblems
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
Thebook is a solid reference for professionals as well as a usefultext forstudents in the fields of operations research, managementscience,industrial engineering, applied mathematics, and also inengineeringdisciplines that deal with analytical optimizationtechniques. Thelogical and self-contained format uniquely coversnonlinear programmingtechniques with a great depth of information andan abundance ofvaluable examples and illustrations that showcase themost currentadvances in nonlinear problems.
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