Monotone enclosing of solutions of the Steffensen‐type |
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| Authors: | Peter Baptist |
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| Institution: | Mathematisches Institut der Universitat Bayreuth , Bayreuth, F.R. Germany |
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| Abstract: | In this paper we consider two iterative methods of the Steffensen‐type. The iteration sequences which approximate the solution of f(x) = 0 from opposite sides are generated by Steffensen's method and a secant method, respectively. We show two enclosing theorems and establish orders of convergence. The iteration sequences converge with order two and three, respectively. Numerical examples complete the paper. |
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