Monotone sequences for approximating the solutions of equations


We study the local convergence of a Aitken-Steffensen type method for approximating the solutions of nonlinear scalar equations. We show that under some usual assumptions on the nonlinear function (involving monotony and convexity), the considered method generates bilateral approximations for the solution. Therefore, one obtains an evaluation of the error at each iteration step.


Ion Păvăloiu
(Tiberiu Popoviciu Institute of Numerical Analysis)




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I. Păvăloiu, Monotone sequences for approximating the solutions of equations, Bul. Ştiinţ. Univ. Baia Mare Ser. B Mat.-Inf., 15 (1999) nos. 1-2, pp. 103-110.

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Universitatea Baia Mare

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