Published 2014 | Version v1
Journal article Open

A Semilocal Convergence for a Uniparametric Family of Efficient Secant-Like Methods

Authors/Creators

  • 1. ROR icon Universidad de La Rioja

Contributors

  • 1. ROR icon Cameron University
  • 2. ROR icon Universidad de La Rioja

Description

We present a semilocal convergence analysis for a uniparametric family of efficient secant-like methods (including the secant and Kurchatovmethod as special cases) in a Banach space setting (Ezquerro et al., 2000–2012).Using our idea of recurrent functions and tighter majorizing sequences, we provide convergence results under the same or less computational cost than the ones of Ezquerro et al., (2013, 2010, and 2012) and Hern´andez et al., (2000, 2005, and 2002) and with the following advantages: weaker sufficient convergence conditions, tighter error estimates on the distances involved, and at least as precise information on the location of the solution. Numerical examples validating our theoretical results are also provided in this study.

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Additional details

Identifiers

DOI
10.1155/2014/467980

Dates

Accepted
2014
Published

References

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