Three new algorithms based on the sequential secant method |
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| Authors: | José Mario Martínez |
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| Affiliation: | (1) Imecc — Unicamp — CP 1170, 13100 Campinas Sp, Brazil |
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| Abstract: | We introduce three new implementations of the sequential secant method for solving nonlinear simultaneous equations. Following the ideas of Gragg and Stewart, we store orthogonal factorizations of some of the matrices involved. Degeneracy in the increments of the independent variable is corrected according to simple and theoretically justified procedures. Some numerical experiences are also given. |
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| Keywords: | Nonlinear equations sequential secant method order of convergence quasi-Newton methods |
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