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Non-monotone algorithm for minimization on arbitrary domains with applications to large-scale orthogonal Procrustes problem. (English) Zbl 1354.65120
Summary: This paper concerns a non-monotone algorithm for minimizing differentiable functions on closed sets. A general numerical scheme is proposed which combines a regularization/trust-region framework with a non-monotone strategy. Global convergence to stationary points is proved under usual assumptions. Numerical experiments for a particular version of the general algorithm are reported. In addition, a promising numerical scheme for medium/large-scale orthogonal Procrustes problem is also proposed and numerically illustrated.
Reviewer: Reviewer (Berlin)

65K05 Numerical mathematical programming methods
90C30 Nonlinear programming
90C51 Interior-point methods
Full Text: DOI
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