TY - JOUR KW - Newton’s Method KW - Local Convergence KW - Steffensen-type Method AU - Ioannis Argyros AU - Santhosh George AB - We present a local convergence analysis for a family of Steffensen-type fourth-order methods in order to approximate a solution of a nonlinear equation. We use hypotheses up to the first derivative in contrast to earlier studies such as [1], [5]-[28] using hypotheses up to the fifth derivative. This way the applicability of these methods is extended under weaker hypotheses. Moreover the radius of convergence and computable error bounds on the distances involved are also given in this study. Numerical examples are also presented in this study. IS - Special Issue on Teaching Mathematics Using New and Classic Tools M1 - 4 N2 - We present a local convergence analysis for a family of Steffensen-type fourth-order methods in order to approximate a solution of a nonlinear equation. We use hypotheses up to the first derivative in contrast to earlier studies such as [1], [5]-[28] using hypotheses up to the fifth derivative. This way the applicability of these methods is extended under weaker hypotheses. Moreover the radius of convergence and computable error bounds on the distances involved are also given in this study. Numerical examples are also presented in this study. PY - 2015 SP - 37 EP - 42 T2 - International Journal of Interactive Multimedia and Artificial Intelligence TI - Ball Convergence for Steffensen-type Fourth-order Methods UR - http://www.ijimai.org/JOURNAL/sites/default/files/files/2015/08/ijimai20153_4_7_pdf_73265.pdf VL - 3 SN - 1989-1660 ER -