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Bazaraa M.S., Sherali H.D., Shetty C.M. — Nonlinear Programming: Theory and Algorithms
Bazaraa M.S., Sherali H.D., Shetty C.M. — Nonlinear Programming: Theory and Algorithms



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Название: Nonlinear Programming: Theory and Algorithms

Авторы: Bazaraa M.S., Sherali H.D., Shetty C.M.

Аннотация:

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 programmi


Язык: en

Рубрика: Computer science/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Third edition

Год издания: 2006

Количество страниц: 853

Добавлена в каталог: 12.04.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
union      759
Unit lower triangular matrix      757
Unit vector      751
Univariate case      169
Upper semicontinuity      101 762
Upper-level set      99 136
Utility functions      23
Value methods      441
Variable dimension      461
Variable metric method      408
Variable target      441
Variable target value methods      443 467
Variable-metric methods      421
Vector addition      751
Vector function      762
Vector multiplication by a scalar      751
Vector-valued function      763
Vectors      751
Veinott's supporting hyperplane algorithm      340
Volume algorithm      467
Warehouse location problem      311
Water resources management      17
Weak duality result      84
Weak duality theorem      263 776
Weakly active constraints      213
Wolfe's counterexample      560
Z-matrix      746
Zangwill's constraint qualification      244
Zangwill's convergence theorem      321
Zero degrees of difficulty      719
Zero matrix      753
Zero vector      751
Zigzagging      389 553
Zigzagging of the convex-simplex method      623
Zigzagging of the steepest descent method      387
Zoutendijk's method      537
Zoutendijk's method (case of linear constraints)      542
Zoutendijk's method (case of nonlinear inequality constraints)      550
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