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A Parameterized multi-step Newton method for solving systems of nonlinear equations

Author
Ahmad, F.; Tohidi, E.; Carrasco, J.
Type of activity
Journal article
Journal
Numerical algorithms
Date of publication
2016-03-01
Volume
71
Number
3
First page
631
Last page
653
DOI
https://doi.org/10.1007/s11075-015-0013-7 Open in new window
Project funding
Últimos estadios de la evolución estelar en sistemas binarios: novas clásicas y recurrentes, supernovas, erupciones de rayos X ....
Repository
http://hdl.handle.net/2117/104811 Open in new window
URL
http://link.springer.com/article/10.1007%2Fs11075-015-0013-7 Open in new window
Abstract
We construct a novel multi-step iterative method for solving systems of nonlinear equations by introducing a parameter. to generalize the multi-step Newton method while keeping its order of convergence and computational cost. By an appropriate selection of theta, the new method can both have faster convergence and have larger radius of convergence. The new iterative method only requires one Jacobian inversion per iteration, and therefore, can be efficiently implemented using Krylov subspace meth...
Citation
Ahmad, F., Tohidi, E., Carrasco, J. A Parameterized multi-step Newton method for solving systems of nonlinear equations. "Numerical algorithms", 1 Març 2016, vol. 71, núm. 3, p. 631-653.
Keywords
Discretization methods for partial differential equations, Multi-step Newton method, Multi-step iterative methods, Partial differential equations, Systems of nonlinear equations, approximation, differential-equations, efficient, generalized zakharov equation, numerical-solution, spectral method
Group of research
GAA - Astronomy and Astrophysics Group

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