Algorithm 883

Abstract
SparsePOP is a Matlab implementation of the sparse semidefinite programming (SDP) relaxation method for approximating a global optimal solution of a polynomial optimization problem (POP) proposed by Waki et al. [2006]. The sparse SDP relaxation exploits a sparse structure of polynomials in POPs when applying “a hierarchy of LMI relaxations of increasing dimensions” Lasserre [2006]. The efficiency of SparsePOP to approximate optimal solutions of POPs is thus increased, and larger-scale POPs can be handled.
Funding Information
  • Korea Science and Engineering Foundation (R01-2005-000-10271-0)
  • Japan Society for the Promotion of Science (16016234, 19310096, 15740054)