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Your search keyword '"Buhmiler, Sandra"' showing total 2 results
Start Over Author "Buhmiler, Sandra" Topic newton-raphson method
2 results on '"Buhmiler, Sandra"'

1. Practical Quasi-Newton algorithms for singular nonlinear systems.

Author

Buhmiler, Sandra, Krejić, Nataša, and Lužanin, Zorana

Subjects
*NEWTON-Raphson method, *MATHEMATICAL singularities, *NONLINEAR differential equations, *STOCHASTIC convergence, *MATHEMATICAL sequences, *MATRICES (Mathematics), *MATHEMATICAL analysis
Abstract

Quasi-Newton methods for solving singular systems of nonlinear equations are considered in this paper. Singular roots cause a number of problems in implementation of iterative methods and in general deteriorate the rate of convergence. We propose two modifications of QN methods based on Newton's and Shamanski's method for singular problems. The proposed algorithms belong to the class of two-step iterations. Influence of iterative rule for matrix updates and the choice of parameters that keep iterative sequence within convergence region are empirically analyzed and some conclusions are obtained. [ABSTRACT FROM AUTHOR]

Published
2010
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2. A new smoothing quasi-Newton method for nonlinear complementarity problems

Author

Buhmiler, Sandra and Krejić, Nataša

Subjects
*NEWTON-Raphson method, *NONLINEAR systems, *SYSTEMS theory, *STOCHASTIC convergence
Abstract

Abstract: A new smoothing quasi-Newton method for nonlinear complementarity problems is presented. The method is a generalization of Thomas’ method for smooth nonlinear systems and has similar properties as Broyden''s method. Local convergence is analyzed for a strictly complementary solution as well as for a degenerate solution. Presented numerical results demonstrate quite similar behavior of Thomas’ and Broyden''s methods. [Copyright &y& Elsevier]

Published
2008
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