Solving Large-Scale Sparse Semidefinite Programs for Combinatorial Optimization

  • Authors:
  • Steven J. Benson;Yinyu Ye;Xiong Zhang

  • Affiliations:
  • -;-;-

  • Venue:
  • SIAM Journal on Optimization
  • Year:
  • 1999

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Abstract

We present a dual-scaling interior-point algorithm and show how it exploits the structure and sparsity of some large-scale problems. We solve the positive semidefinite relaxation of combinatorial and quadratic optimization problems subject to boolean constraints. We report the first computational results of interior-point algorithms for approximating maximum cut semidefinite programs with dimension up to 3,000.