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About this book
There has been much recent progress in approximation algorithms for nonconvex continuous and discrete problems from both a theoretical and a practical perspective. In discrete (or combinatorial) optimization many approaches have been developed recently that link the discrete universe to the continuous universe through geomet ric, analytic, and algebraic techniques. Such techniques include global optimization formulations, semidefinite programming, and spectral theory. As a result new ap proximate algorithms have been discovered and many new computational approaches have been developed. Similarly, for many continuous nonconvex optimization prob lems, new approximate algorithms have been developed based on semidefinite pro gramming and new randomization techniques. On the other hand, computational complexity, originating from the interactions between computer science and numeri cal optimization, is one of the major theories that have revolutionized the approach to solving optimization problems and to analyzing their intrinsic difficulty. The main focus of complexity is the study of whether existing algorithms are efficient for the solution of problems, and which problems are likely to be tractable. The quest for developing efficient algorithms leads also to elegant general approaches for solving optimization problems, and reveals surprising connections among problems and their solutions. A conference on Approximation and Complexity in Numerical Optimization: Con tinuous and Discrete Problems was held during February 28 to March 2, 1999 at the Center for Applied Optimization of the University of Florida.
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Table of contents (32 chapters)
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Front Matter
Editors and Affiliations
Bibliographic Information
Book Title: Approximation and Complexity in Numerical Optimization
Book Subtitle: Continuous and Discrete Problems
Editors: Panos M. Pardalos
Series Title: Nonconvex Optimization and Its Applications
DOI: https://doi.org/10.1007/978-1-4757-3145-3
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media Dordrecht 2000
Hardcover ISBN: 978-0-7923-6275-3Published: 31 May 2000
Softcover ISBN: 978-1-4419-4829-8Published: 02 December 2010
eBook ISBN: 978-1-4757-3145-3Published: 29 June 2013
Series ISSN: 1571-568X
Edition Number: 1
Number of Pages: XIV, 581
Topics: Industrial and Production Engineering, Calculus of Variations and Optimal Control; Optimization, Theory of Computation, Approximations and Expansions