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Aspects of Semidefinite Programming: Interior Point Algorithms and Selected
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Aspects of Semidefinite Programming: Interior Point Algorithms and Selected Applications Hardcover - 2002 - 2002nd Edition

by E. de Klerk


From the publisher

Semidefinite programming has been described as linear programming for the year 2000. It is an exciting new branch of mathematical programming, due to important applications in control theory, combinatorial optimization and other fields. Moreover, the successful interior point algorithms for linear programming can be extended to semidefinite programming.
In this monograph the basic theory of interior point algorithms is explained. This includes the latest results on the properties of the central path as well as the analysis of the most important classes of algorithms. Several "classic" applications of semidefinite programming are also described in detail. These include the Lovsz theta function and the MAX-CUT approximation algorithm by Goemans and Williamson.
Audience: Researchers or graduate students in optimization or related fields, who wish to learn more about the theory and applications of semidefinite programming.

First line

All convex optimization problems can in principle be restated as so-called conic linear programs (conic LP's for short); these are problems where the objective function is linear, and the feasible set is the intersection of an affine space with a convex cone.

Details

  • Title Aspects of Semidefinite Programming: Interior Point Algorithms and Selected Applications
  • Author E. de Klerk
  • Binding Hardcover
  • Edition number 2002nd
  • Edition 2002
  • Pages 288
  • Volumes 1
  • Language ENG
  • Publisher Springer, Dordrecht, The Netherlands
  • Date 2002-03-31
  • ISBN 9781402005473 / 1402005474
  • Weight 1.33 lbs (0.60 kg)
  • Dimensions 9.32 x 6.8 x 0.86 in (23.67 x 17.27 x 2.18 cm)
  • Library of Congress Catalog Number 2002071070
  • Dewey Decimal Code 519.72
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Aspects of Semidefinite Programming : Interior Point Algorithms and Selected Applications
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Aspects of Semidefinite Programming: Interior Point Algorithms and Selected Applications (Applied Optimization, 65)

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