Geodesic
On Newton-like methods to enclose solutions of nonlinear equations
Applications of Mathematics, Tome 34 (1989) no. 1, pp. 67-84.

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We present a class of Newton-like methods to enclose solutions of systems of nonlinear equations. Theorems are derived concerning the feasibility of the method, its global convergence, its speed and the quality of enclosure.
DOI : 10.21136/AM.1989.104335
Classification : 65G10, 65G30, 65H10
Keywords: interval analysis; Jacobi splitting; enclosure of solutions; interval Jacobian matrix; Newton-like methods; global convergence; numerical examples; Gauss-Seidel splitting; nonlinear equations 
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     title = {On {Newton-like} methods to enclose solutions of nonlinear equations},
     journal = {Applications of Mathematics},
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Mayer, Günter. On Newton-like methods to enclose solutions of nonlinear equations. Applications of Mathematics, Tome 34 (1989) no. 1, pp. 67-84. doi : 10.21136/AM.1989.104335. http://geodesic.mathdoc.fr/articles/10.21136/AM.1989.104335/

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