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- Title
A matrix-free approach for solving systems of nonlinear equations.
- Authors
Abubakar, Auwal Bala; Waziri, Mohammed Yusuf
- Abstract
The computation of the Jacobian, its inverse and n n matrix storage requirement in each iteration limits the application of Newton-like method for solving systems of nonlinear equations, because computing the Jacobian entails derivative and to compute its inverse, it must be non-singular. We present an enhancement of a three-step Newton-like method by J. R. Sharma and P. Gupta (2014) where the Jacobian inverse is approximated into a diagonal matrix. Numerical results proved that the proposed method in terms of CPU time and number of iterations compared to the Sharma and Gupta's method is very encouraging.
- Subjects
NONLINEAR equations; JACOBIAN matrices; ITERATIVE methods (Mathematics); MATRIX inversion; SHARMA, J. R.; GUPTA, P.
- Publication
Journal of Modern Methods in Numerical Mathematics, 2016, Vol 7, Issue 1, p1
- ISSN
2090-4770
- Publication type
Article
- DOI
10.20454/jmmnm.2016.1025