By Publisher: Athena Scientific
ISBN: 1886529000
Release Date: 1999-09
List Price: USD 89.00
Hardcover
Buy it from: amazon.com ( from US$ 88.0)
Book description:
This is a substantially expanded (by 130 pages) and improved edition of the best-selling nonlinear programming book by Bertsekas. The treatment focuses on iterative algorithms for constrained and unconstrained optimization, Lagrange multipliers and duality, large scale problems, and on the interface between continuous and discrete optimization.
Among its special features, the book:
(a) provides extensive coverage of iterative optimization methods within a unifying framework
(b) provides a detailed treatment of \emp{interior point} methods for linear programming
(c) covers in depth duality theory from both a variational and a geometric/convex analysis point of view
(d) includes much new material on a number of topics, such as neural network training, discrete-time optimal control, and large-scale optimization
(e) includes a large number of examples and exercises
A new internet-based feature was added to the book, which significantly extends its scope and coverage. Many of the theoretical exercises, quite a few of them new, have been solved in detail and their solutions have been posted on the book's www page
Highlights of the revision: (a) A section on a simple but far-reaching treatment of Fritz John necessary conditions and constraint qualifications, and also includes semi-infinite programming. (b) A section on the use of duality and Lagrangian relaxation for solving discrete optimization problems. (c) A section on approximate and incremental subgradient methods.
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