## 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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## About this paper

##### Publisher Name

Editions de l’Academie Roumaine.

##### Paper on the journal website.

##### Print ISSN

1222-9024

##### Online ISSN

2457-8126

##### MR

?

##### ZBL

?

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