Aspects of Semidefinite Programming: Interior Point Algorithms and Selected Applications [1 ed.] 9781402005473, 1402005474
Semidefinite programming has been described as linear programming for the year 2000. It is an exciting new branch of mat
129 100 2MB
English Pages 288 [300] Year 2004
Table of contents :
Introduction....Pages 1-18
Duality, Optimality, and Degeneracy....Pages 21-39
The Central Path....Pages 41-59
Self-Dual Embeddings....Pages 61-73
The Primal Logarithmic Barrier Method....Pages 75-93
Primal-Dual Affine-Scaling Methods....Pages 95-113
Primal-Dual Path-Following Methods....Pages 115-131
Primal-Dual Potential Reduction Methods....Pages 133-146
Convex Quadratic Approximation....Pages 149-155
The Lovász ϑ-Function....Pages 157-167
Graph Coulouring and the Max- K -Cut Problem....Pages 169-185
The Stability Number of a Graph and Standard Quadratic Optimization....Pages 187-209
The Satisfiability Problem....Pages 211-228
Introduction....Pages 1-18
Duality, Optimality, and Degeneracy....Pages 21-39
The Central Path....Pages 41-59
Self-Dual Embeddings....Pages 61-73
The Primal Logarithmic Barrier Method....Pages 75-93
Primal-Dual Affine-Scaling Methods....Pages 95-113
Primal-Dual Path-Following Methods....Pages 115-131
Primal-Dual Potential Reduction Methods....Pages 133-146
Convex Quadratic Approximation....Pages 149-155
The Lovász ϑ-Function....Pages 157-167
Graph Coulouring and the Max- K -Cut Problem....Pages 169-185
The Stability Number of a Graph and Standard Quadratic Optimization....Pages 187-209
The Satisfiability Problem....Pages 211-228
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