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International Journal of Computer Mathematics Volume 82, 2005 - Issue 11
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Original Articles

A new iterative method of asymptotic order 1+√2 for the computation of fixed points

Ioannis K. Argyros Department of Mathematical Sciences, Cameron University, Lawton, OK, 73505, USACorrespondence[email protected]
Pages 1413-1428 | Received 23 Sep 2004, Published online: 21 Aug 2006

Citations (12)

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Read on this site (3)

Himanshu Kumar & P. K. Parida. (2019) On semilocal convergence of two step Kurchatov method. International Journal of Computer Mathematics 96:8, pages 1548-1566.
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S. K. Parhi & D. K. Gupta. (2010) Semilocal convergence of Stirling's method under Hölder continuous first derivative in Banach spaces. International Journal of Computer Mathematics 87:12, pages 2752-2759.
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Xinghua Wang & Peipei Tang. (2010) An iteration method with maximal order based on standard information. International Journal of Computer Mathematics 87:2, pages 414-424.
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Articles from other publishers (9)

Cristina Amorós, Ioannis K. Argyros, Á. Alberto Magreñán, Samundra Regmi, Rubén González & Juan Antonio Sicilia. (2019) Extending the Applicability of Stirling’s Method. Mathematics 8:1, pages 35.
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Ioannis K. Argyros & P.K. Parida. (2018) Expanding the Applicability of Stirling’s Method under Weaker Conditions and Restricted Convergence Regions. Annals of West University of Timisoara - Mathematics and Computer Science 56:1, pages 86-98.
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S.K. Parhi & D.K. Gupta. (2011) A Stirling-like method with Hölder continuous first derivative in Banach spaces. Applied Mathematics and Computation 217:23, pages 9567-9574.
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Xiuhua Wang, Lijun Tang & Jisheng Kou. (2011) A high-order newton-like method. Wuhan University Journal of Natural Sciences 16:1, pages 4-6.
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S. K. Parhi & D. K. Gupta. (2011) Convergence of Stirling's method under weak differentiability condition. Mathematical Methods in the Applied Sciences 34:2, pages 168-175.
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S. K. PARHI & D. K. GUPTA. (2011) SEMILOCAL CONVERGENCE OF A STIRLING-LIKE METHOD IN BANACH SPACES. International Journal of Computational Methods 07:02, pages 215-228.
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S.K. Parhi & D.K. Gupta. (2009) A third order method for fixed points in Banach spaces. Journal of Mathematical Analysis and Applications 359:2, pages 642-652.
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Sanjaya Kumar Parhi & Dharmendra Kumar Gupta. (2009) Convergence of an Iterative Method for Fixed Points in Banach Spaces. Convergence of an Iterative Method for Fixed Points in Banach Spaces.
S. K. Parhi & D. K. Gupta. (2009) Relaxing convergence conditions for Stirling's method. Mathematical Methods in the Applied Sciences, pages n/a-n/a.
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