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Numerical Functional Analysis and Optimization Volume 24, 2003 - Issue 7-8
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Original Articles

An Improved Convergence Analysis and Applications for Newton-Like Methods in Banach Space

Ioannis K. Argyros Cameron University, Department of Mathematical Sciences, Lawton, Oklahoma, USACorrespondence[email protected]
Pages 653-672 | Published online: 07 Feb 2007

Citations (9)

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Ioannis K. Argyros. (2005) On a two-point Newton-like method of convergent order two. International Journal of Computer Mathematics 82:2, pages 219-233.
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Articles from other publishers (8)

D. R. Sahu, Krishna Kumar Singh & Vipin Kumar Singh. (2013) A Newton-like method for generalized operator equations in Banach spaces. Numerical Algorithms 67:2, pages 289-303.
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J.A. Ezquerro, D. González & M.A. Hernández. (2012) Majorizing sequences for Newton’s method from initial value problems. Journal of Computational and Applied Mathematics 236:9, pages 2246-2258.
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Ioannis K. Argyros. (2008) Newton's method in Riemannian manifolds. Journal of Numerical Analysis and Approximation Theory 37:2, pages 119-125.
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Ioannis K. Argyros. (2007) An improved unifying convergence analysis of Newton’s method in Riemannian manifolds. Journal of Applied Mathematics and Computing 25:1-2, pages 345-351.
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Ioannis K. Argyros. (2007) Weaker conditions for the convergence of Newton-like methods. Journal of Numerical Analysis and Approximation Theory 36:1, pages 39-49.
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Ioannis K. Argyros. (2006) A fine convergence analysis for inexact Newton methods. Functiones et Approximatio Commentarii Mathematici 36:none.
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Ioannis K. Argyros. (2005) Concerning the “terra incognita” between convergence regions of two Newton methods. Nonlinear Analysis: Theory, Methods & Applications 62:1, pages 179-194.
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Ioannis K. Argyros. (2004) Approximating Solutions of Equations Using Two‐Point Newton Methods. Applied Numerical Analysis & Computational Mathematics 1:2, pages 386-412.
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