Nonlinear Programming (PDF)

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 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.