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The convergence ball and error analysis of the two-step Secant method
Journal article   Peer reviewed

The convergence ball and error analysis of the two-step Secant method

Rong-fei Lin, Qing-biao Wu, Min-hong Chen, Yasir Khan and Lu Liu
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, Vol.32(4), pp.397-406
01/09/2017
DOI: https://doi.org/10.1007/s11766-017-3487-3

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
Under the assumption that the nonlinear operator has Lipschitz continuous divided differences for the first order, we obtain an estimate of the radius of the convergence ball for the two-step secant method. Moreover, we also provide an error estimate that matches the convergence order of the two-step secant method. At last, we give an application of the proposed theorem.

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