In this manuscript, we design a parametric family of iterative methods for solving nonlinear problems, that does not need to evaluate Jacobian matrices and needs to solve three linear systems per iteration with the same divided difference operator as coefficient matrix. The stability performance of the class is analyzed on a quadratic polynomial system and it is shown that for a wide set of values (including positive ones), there exist only convergence to the roots of the problem.
CITATION STYLE
Cordero, A., Maimó, J. G., Torregrosa, J. R., & Vassileva, M. P. (2019). Multidimensional Real Dynamics for High-Order Processes. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 11386 LNCS, pp. 201–207). Springer Verlag. https://doi.org/10.1007/978-3-030-11539-5_21
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