TY - JOUR AU - Argyros, Ioannis K. AU - Catinas, Emil AU - Pavaloiu, Ion PY - 2017/06/14 Y2 - 2024/03/28 TI - On the approximate solution of implicit functions using the Steffensen method JF - Proyecciones (Antofagasta, On line) JA - Proyecciones (Antofagasta, On line) VL - 19 IS - 3 SE - DO - 10.4067/S0716-09172000000300005 UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1619 SP - 291-303 AB - <span class="fontstyle0">We use inexact Steffensen-Aitken-type methods to approximate implicit functions in a Banach space. Using a projection operator our equation reduces to solving a linear algebraic system of finite order. Semilocal convergence results as well as an error analysis are also provided.</span> ER -