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A UNIFIED CONVERGENCE ANALYSIS FOR SECANT-TYPE METHODS

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Publication:2929755
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DOI10.4134/JKMS.2014.51.6.1155zbMath1320.65082MaRDI QIDQ2929755

Ioannis K. Argyros, Ángel Alberto Magreñán

Publication date: 14 November 2014

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)


zbMATH Keywords

numerical examplecomparison of methodsNewton's methoderror boundBanach spacenonlinear operator equationdivided differencemajorizing sequencesecant-type methodlocal convergence analysissemilocal convergence analysis


Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)


Related Items (3)

On the Convergence of Secant-Like Methods ⋮ An analysis of the semilocal convergence for secant-like methods ⋮ Improved convergence analysis of the Secant method using restricted convergence domains with real-world applications




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