Bookcover of Towards the optimum by semidefinite and copositive programming
Booktitle:

Towards the optimum by semidefinite and copositive programming

New approach to approximate hard optimization problems

VDM Verlag Dr. Müller (2009-06-21 )

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ISBN-13:

978-3-639-16654-5

ISBN-10:
363916654X
EAN:
9783639166545
Book language:
English
Blurb/Shorttext:
Semidefinite and copositive programming have attained an important role in combinatorial optimization in the last two decades. There is a strong evidence that semidefinite and copositive approximation models are significantly stronger than the purely linear ones for many combinatorial problems. In some cases the copositive models give even the exact value of the problem. The first part of the book contains beside a survey of standard results from linear algebra and conic programming also a new method to solve semidefinite programs, based on the augmented Lagrangian method. This method named the Boundary point method goes far beyond the reach of interior point methods when the linear constraints are nearly orthogonal. The second part demonstrates the application of semidefinite and copositive programming to the following NP-hard problems from combinatorial optimization: the bandwidth problem, the quadratic assignment problem, the min-cut problem and the general graph partitioning problem. The book also provides the ideas how to extend the approach to some other 0-1 problems, like the stability number problem and the balanced vertex separator problem.
Publishing house:
VDM Verlag Dr. Müller
Website:
http://www.vdm-verlag.de
By (author) :
Janez Povh
Number of pages:
132
Published at:
2009-06-21
Stock:
Available
Category:
Mathematics
Price:
59.00 €
Keywords:
semidefinite programming, copositive programming, graph partitioning problem, quadratic assignment problem, graph bandwidth problem, minimum cut problem, boundary point method, Augmented Lagrangian method, semidefinite lower bound, boundary point method

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