On an iterative method for unconstrained optimization
Volume 42 / 2015
Applicationes Mathematicae 42 (2015), 333-342
MSC: 65D10, 65D99, 90C30.
DOI: 10.4064/am2254-11-2015
Published online: 25 November 2015
Abstract
We present a local and a semi-local convergence analysis of an iterative method for approximating zeros of derivatives for solving univariate and unconstrained optimization problems. In the local case, the radius of convergence is obtained, whereas in the semi-local case, sufficient convergence criteria are presented. Numerical examples are also provided.