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A Semilocal Convergence for a Uniparametric Family of Efficient Secant-Like Methods
Joint Authors
González, D.
Magreñán, Á. A.
Argyros, Ioannis K.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-05
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We present a semilocal convergence analysis for a uniparametric family of efficient secant-like methods (including the secant and Kurchatov method 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 Hernández 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.
American Psychological Association (APA)
Argyros, Ioannis K.& González, D.& Magreñán, Á. A.. 2014. A Semilocal Convergence for a Uniparametric Family of Efficient Secant-Like Methods. Journal of Function Spaces،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1040668
Modern Language Association (MLA)
Argyros, Ioannis K.…[et al.]. A Semilocal Convergence for a Uniparametric Family of Efficient Secant-Like Methods. Journal of Function Spaces No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1040668
American Medical Association (AMA)
Argyros, Ioannis K.& González, D.& Magreñán, Á. A.. A Semilocal Convergence for a Uniparametric Family of Efficient Secant-Like Methods. Journal of Function Spaces. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1040668
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1040668