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June 28, 2024Journal of Applied Mathematics and Computing2 citationsOpen Access

Solving nonlinear vectorial problems with a stable class of Jacobian-free iterative processes

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ACAlicia CorderoCJCristina JordánECEsther Sanabria Codesal

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Abstract

Abstract In this manuscript, a general class of Jacobian-free iterative schemes for solving systems of nonlinear equations is presented. Once its fourth-order convergence is proven, the most efficient sub-family is selected in order to make a qualitative study. It is proven that the most of elements of this family are very stable, and this is checked by means on numerical tests on several problems of different sizes. Their performance is compared with other known Jacobian-free iterative procedure, being better in the most of results.

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Cite This Study

Cordero et al. (2024) studied this question.

synapsesocial.com/papers/68e62c2eb6db6435875beec4https://doi.org/10.1007/s12190-024-02166-5
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