Local convergence for a family of iterative methods based on decomposition techniques

Volume 43 / 2016

Ioannis K. Argyros, Santhosh George, Shobha Monnanda Erappa Applicationes Mathematicae 43 (2016), 133-143 MSC: 65D10, 65D99. DOI: 10.4064/am2261-12-2015 Published online: 2 December 2015

Abstract

We present a local convergence analysis for a family of iterative methods obtained by using decomposition techniques. The convergence of these methods was shown before using hypotheses on up to the seventh derivative although only the first derivative appears in these methods. In the present study we expand the applicability of these methods by showing convergence using only the first derivative. Moreover we present a radius of convergence and computable error bounds based only on Lipschitz constants. Numerical examples are also provided.

Authors

  • Ioannis K. ArgyrosDepartment of Mathematical Sciences
    Cameron University
    Lawton, OK 73505, U.S.A.
    e-mail
  • Santhosh GeorgeDepartment of Mathematical and Computational Sciences
    NIT Karnataka
    Karnataka, India 575 025
    e-mail
  • Shobha Monnanda ErappaDepartment of Mathematical and Computational Sciences
    NIT Karnataka
    India-575 025
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image