TY - JOUR AU - Păvăloiu, Ion PY - 2006/08/01 Y2 - 2024/03/29 TI - Bilateral approximations of the roots of scalar equations by Lagrange-Aitken-Steffensen method of order three JF - Rev. Anal. Numér. Théor. Approx. JA - Rev. Anal. Numér. Théor. Approx. VL - 35 IS - 2 SE - Articles DO - 10.33993/jnaat352-843 UR - https://ictp.acad.ro/jnaat/journal/article/view/2006-vol35-no2-art5 SP - 173-182 AB - <pre>We study the monotone convergence of two general methods of</pre><pre> Aitken-Steffenssen type. These methods are obtained from the</pre><pre> Lagrange inverse interpolation polynomial of degree two, having</pre><pre> controlled nodes. The obtained results provide information on</pre><pre> controlling the errors at each iteration step.</pre> ER -