1. On a Class of Efficient Higher Order Newton-like Methods.
- Author
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Sharma, Janak Raj and Kumar, Deepak
- Subjects
- *
NONLINEAR equations , *STOCHASTIC convergence , *NUMERICAL analysis , *MATHEMATICAL equivalence , *UNIQUENESS (Mathematics) - Abstract
Based on a two-step Newton-like scheme, we propose a three-step scheme of convergence order p + 2 (p ≥ 3) for solving systems of nonlinear equations. Furthermore, on the basis of this scheme a generalized k+2-step scheme with increasing convergence order p + 2k is presented. Local convergence analysis, including radius of convergence and uniqueness results of the methods, is presented. Computational efciency in the general form is discussed. Theoretical results are verifed through numerical experimentation. Finally, performance is demonstrated by application of the methods on some nonlinear systems of equations. [ABSTRACT FROM AUTHOR]
- Published
- 2019
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