Linear and Nonlinear Optimization

ISBN-10: 0898716616

ISBN-13: 9780898716610

Edition: 2nd 2008

List price: $225.00
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Book details

List price: $225.00
Edition: 2nd
Copyright year: 2008
Publisher: Society for Industrial and Applied Mathematics
Publication date: 3/26/2009
Binding: Hardcover
Pages: 764
Size: 7.00" wide x 10.00" long x 1.50" tall
Weight: 3.586
Language: English

Igor Griva received a B.Sc. and M.S. degree in applied mathematics in 1993 and 1994 from Moscow State University, Russia; and a Ph.D. in information technology in 2002 from George Mason University, where he is now an Assistant Professor of Computational Sciences and Mathematics in the College of Science. Prior to coming to George Mason University, he was a research associate at the Department of Financial Engineering and Operations Research in Princeton University. His research focuses on theory and methods of nonlinear optimization and their application to problems in science and engineering.

Optimization models
Fundamentals of optimization
Representation of linear constraints
Linear Programming:
Geometry of linear programming
The simplex method
Duality and sensitivity
Enhancements of the simplex method
Network problems
Computational complexity of linear programming
Interior-point methods of linear programming
Unconstrained Optimization
Basics of unconstrained optimization
Methods for unconstrained optimization
Low-storage methods for unconstrained problems
Nonlinear Optimization
Optimality conditions for constrained problems
Feasible-point methods
Penalty and barrier methods
Topics from linear algebra
Other fundamentals
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