On some interpolatory iterative methods for the second degree polynomial operators (II)

Abstract

In this paper we apply some iterative methods obtained by inverse interpolation, in order to solve some specific classes of equations: the Ricatti equation, a Fredholm type equation, and the eigenvalue problem for a class of linear operators.

We obtain some semilocal convergence results, showing the r-convergence orders of the iterates.

Authors

Emil Cătinaş
(Tiberiu Popoviciu Institute of Numerical Analysis)

Ion Păvăloiu
(Tiberiu Popoviciu Institute of Numerical Analysis)

Keywords

inverse interpolation iterative methods; Ricatti equation; Fredholm type equation; eigenvalue problem; semilocal convergence results; r-convergence order.

Cite this paper as:

E. Cătinaş, I. Păvăloiu, On some interpolatory iterative methods for the second degree polynomial operators (II), Rev. Anal. Numér. Théor. Approx., 28 (1999) no. 2, pp. 133-143.

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Publisher Name

Editions de l’Academie Roumaine.

Print ISSN

1222-9024

Online ISSN

2457-8126

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References

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[5] E. Catinas and I. Pavaloiu, On some interpolatory iterative methods for the second degree polynomial operators (I).  Rev. Anal. Numer. Theor. Approx., to appear.
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