Monotone sequences for approximating the solutions of equations

Abstract

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.

Authors

Ion Păvăloiu
(Tiberiu Popoviciu Institute of Numerical Analysis)

Keywords

?

PDF

Scanned paper: on the journal website (requires subscription).

Latex version of the paper (soon).

Cite this paper as:

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.

About this paper

Publisher Name

Universitatea Baia Mare

Print ISSN

Not available yet.

Online ISSN

Not available yet.

References

?

1999

Related Posts