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2010

Practical Quasi-Newton algorithms for singular nonlinear systems

11 years 8 months ago
Practical Quasi-Newton algorithms for singular nonlinear systems
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. Key words: nonlinear system of equations, singular system, Quasi-Newton method, local convergence AMS Classification: 65H10, 47J20
Sandra Buhmiler, Natasa Krejic, Zorana Luzanin
Added 29 Jan 2011
Updated 29 Jan 2011
Type Journal
Year 2010
Where NA
Authors Sandra Buhmiler, Natasa Krejic, Zorana Luzanin
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