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Zbl 1096.65047
Amat, Sergio; Busquier, Sonia
On a Steffensen's type method and its behavior for semismooth equations. (English)
[J] Appl. Math. Comput. 177, No. 2, 819-823 (2006). ISSN 0096-3003

Summary: A generalization of Steffensen's method is proposed. Our goal is to obtain similar convergence as Newton's method, but without to evaluate any derivative and without to have stability problems. Convergence analysis and numerical results for semismooth equations are presented.
MSC 2000:
*65H10 Systems of nonlinear equations (numerical methods)

Keywords: Steffensen's method; semismooth equations; zerofinding; stability; convergence; numerical results

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