Geodesic
Recursive algorithms for solving systems of nonlinear equations
Applications of Mathematics, Tome 34 (1989) no. 1, pp. 33-45.

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A way of generalizing onedimensional root-finding algorithms to the multidimensional case by means of recursion is shown and means to make the algorithms robust are discussed. In the second part, the algorithm is modified so as to exploit sparsity of large systems of equations for reducing the recursion depth and consequently decreasing the computational requirements of the method.
DOI : 10.21136/AM.1989.104332
Classification : 58F08, 65H10
Keywords: recursive algorithms; root-finding algorithms; comparison; Newton-Raphson iteration; iteration by components; nonlinear equations 
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     title = {Recursive algorithms for solving systems of nonlinear equations},
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Jan, Jiří. Recursive algorithms for solving systems of nonlinear equations. Applications of Mathematics, Tome 34 (1989) no. 1, pp. 33-45. doi : 10.21136/AM.1989.104332. http://geodesic.mathdoc.fr/articles/10.21136/AM.1989.104332/

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