Gomes-Ruggiero, Márcia A.; Sachine, Mael; Santos, Sandra A. A spectral updating for the method of moving asymptotes. (English) Zbl 1197.49035 Optim. Methods Softw. 25, No. 6, 883-893 (2010). Summary: A modified version of the method of moving asymptotes is proposed basing on the spectral parameter used in the updating of a key parameter of the model. The second-order information present in the spectral parameter is thus included in the model functions that define the rational approximations. Numerical experiments indicate that the idea is promising in the sense that the cost-benefit of computing the spectral parameter is worth it for reducing the total effort of the algorithm when compared with the original version. Cited in 1 ReviewCited in 2 Documents MSC: 49M37 Numerical methods based on nonlinear programming 65K05 Numerical mathematical programming methods 90C30 Nonlinear programming 93A15 Large-scale systems Keywords:constrained optimization; method of moving asymptotes; spectral parameter; large scale problems; global convergence Software:SPG PDFBibTeX XMLCite \textit{M. A. Gomes-Ruggiero} et al., Optim. Methods Softw. 25, No. 6, 883--893 (2010; Zbl 1197.49035) Full Text: DOI