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How much do approximate derivatives hurt filter methods? (English) Zbl 1175.65074
Summary: We examine the influence of approximate first and/or second derivatives on the filter-trust-region algorithm designed for solving unconstrained nonlinear optimization problems and proposed by N. I. M. Gould, C. Sainvitu and P. L. Toint [SIAM J. Optim. 16, No. 2, 341–357 (2005; Zbl 1122.90074)]]. Numerical experiments carried out on small-scaled unconstrained problems from the CUTEr collection describe the effect of the use of approximate derivatives on the robustness and the efficiency of the filter-trust-region method.

MSC:
65K05 Numerical mathematical programming methods
90C30 Nonlinear programming
90C51 Interior-point methods
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References:
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