期刊
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE
卷 29, 期 2, 页码 165-194出版社
ASSOC COMPUTING MACHINERY
DOI: 10.1145/779359.779363
关键词
algorithms; documentation; experimentation; polynomial programming; semidefinite programming; linear matrix inequality; Matlab; SeDuMi
GloptiPoly is a Matlab/SeDuMi add-on to build and solve convex linear matrix inequality relaxations of the ( generally nonconvex) global optimization problem of minimizing a multivariable polynomial function subject to polynomial inequality, equality, or integer constraints. It generates a series of lower bounds monotonically converging to the global optimum without any problem splitting. Global optimality is detected and isolated optimal solutions are extracted automatically. Numerical experiments show that for most of the small-scale problems described in the literature, the global optimum is reached at low computational cost.
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