Simultaneous roots for vectorial problems
Francisco Chinesta, Alicia Cordero, Neus Garrido, Juan R. Torregrosa, Paula Triguero-Navarro
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Source: Crossref
Published: Jun 23, 2023
DOI: 10.1007/s40314-023-02366-y
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Abstract In this manuscript, we design an iterative step that can be added to any numerical process for solving systems of nonlinear equations. By means of this addition, the resulting iterative scheme obtains, simultaneously, all the solutions to the vectorial problem. Moreover, the order of this new iterative procedure duplicates that of their original partner. We apply this step to some known methods and analyse the behaviour of these new algorithms, obtaining simultaneously the roots of several nonlinear systems.
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