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
andformulating 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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