@Article{Waki:2008:ASS, author = "Hayato Waki and Sunyoung Kim and Masakazu Kojima and Mazakazu Muramatsu", title = "Algorithm 883: {SparsePOP} : a Sparse Semidefinite Programming Relaxation of Polynomial Optimization Problems", journal = "{ACM} Transactions on Mathematical Software", volume = "35", number = "2", month = jul, year = "2008", pages = "15:1--15:13", URL = "http://doi.acm.org/10.1145/1377612.1377619", abstract = "SparesPOP 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, Kim, Kojima and Muramatsu. The sparse SDP relaxation exploits a sparse structure of polynomials in POPs when applying ``a hierarchy of LMI relaxations of increasing dimensions'' by Lasserre. The efficiency of SparsePOP to approximate optimal solutions of POPs is thus increased, and larger scale POPs can be handled.", }