Efficient parametric family of fourth-order Jacobian-free iterative vectorial schemes
Author:
Affiliation:
1. Universitat Politècnica de València
2. Mother and Teacher Pontifical Catholic University
3. Centro Universitario EDEM-Escuela de empresarios
Abstract
Publisher
Research Square Platform LLC
Reference11 articles.
1. Cordero, A. and Rojas-Hiciano, R. and Torregrosa, J. R. and Penkova, M. (2023) A highly efficient class of optimal fourth-order methods for solving nonlinear systems. Numerical Algorithms 116 https://doi.org/10.1007/s11075-023-01631-9
2. Singh, H. and Sharma, J. R. and Kumar, S. (2022) A Simple yet Efficient Two-Step Fifth-Order Weighted-Newton Method for Nonlinear Models. Numerical Algorithms 93(1): 203 –225 https://doi.org/10.1007/s11075-022-01412-w
3. Traub, J. F. (1964) Iterative Methods for the Solution of Equations. Prentice-Hall, New York, Prentice-Hall series in automatic computation
4. Amat, S. and Busquier, S. (2016) Advances in iterative methods for nonlinear equations. Springer, Switzerland, 10
5. Cordero, A. and Torregrosa, J. R. (2007) {Variants of Newton ’s method using fifth-order quadrature formulas}.. Appl. Math. Comput. 190(): 686--698 https://doi.org/10.1016/j.amc.2007.01.062
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