@article{Cătinaş_Păvăloiu_1998, title={On some interpolatory iterative methods for the second degree polynomial operators (I)}, volume={27}, url={https://ictp.acad.ro/jnaat/journal/article/view/1998-vol27-no1-art5}, abstractNote={<p>In this note we consider the chord (secant) method and the Steffensen method for solving polynomial operators of degree 2 on Banach spaces, \(F:X\rightarrow Y\).</p> <p>The convergence conditions in this case are simplified, as the divided difference of order 3 is the null trilinear operator.</p> <p>As particular cases, we study the eigenproblem for quadratic matrices and integral equations of Volterra type.</p> <p>We obtain semilocal convergence results, which show the r-convergence orders of the iterates.</p>}, number={1}, journal={Rev. Anal. Numér. Théor. Approx.}, author={Cătinaş, Emil and Păvăloiu, I}, year={1998}, month={Feb.}, pages={33–45} }