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On an iterative method for unconstrained optimization

Volume 42 / 2015

Ioannis K. Argyros 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.

Authors

  • Ioannis K. ArgyrosDepartment of Mathematical Sciences
    Cameron University
    Lawton, OK 73505, U.S.A.
    e-mail

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