# 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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1222-9024

2457-8126

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