A new type of recurrence relations for the secant methodFootnote^∗
Supported in part by a grant of the DGES (PB-96-0120-C03-02) and a grant of the University of La Rioja API-98/B12.

M. A. Hernández Dpt. Mathematics and Computation, University of La Rioja, C/Luis de Ulloa s/n, Logroño, 26004, SpainCorrespondence[email protected]

M. J. Rubio Dpt. Mathematics and Computation, University of La Rioja, C/Luis de Ulloa s/n, Logroño, 26004, Spain

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Ioannis K. Argyros. (2004) Improved convergence analysis for the Secant method based on a certain type of recurrence relations . International Journal of Computer Mathematics 81:5, pages 629-637.
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Luba Sapir, Tamara Kogan, Ariel Sapir & Amir Sapir. (2020) Nonstationary vs. stationary iterative processes. Numerical Algorithms 86:2, pages 515-535.
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I. K. Argyros, M. A. Hernández-Verón & M. J. Rubio. 2019. Current Trends in Mathematical Analysis and Its Interdisciplinary Applications. Current Trends in Mathematical Analysis and Its Interdisciplinary Applications 141 183 .

Ioannis K. Argyros & Á. Alberto Magreñán. (2015) Extending the convergence domain of the Secant and Moser method in Banach Space. Journal of Computational and Applied Mathematics 290, pages 114-124.
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S. Amat, M.A. Hernández-Verón & M.J. Rubio. (2014) Improving the applicability of the secant method to solve nonlinear systems of equations. Applied Mathematics and Computation 247, pages 741-752.
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M.A Hernández & M.J Rubio. (2004) A modification of Newton's method for nondifferentiable equations. Journal of Computational and Applied Mathematics 164-165, pages 409-417.
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M.A. Hernández & M.J. Rubio. (2002) A uniparametric family of iterative processes for solving nondifferentiable equations. Journal of Mathematical Analysis and Applications 275:2, pages 821-834.
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A new type of recurrence relations for the secant methodFootnote^∗
Supported in part by a grant of the DGES (PB-96-0120-C03-02) and a grant of the University of La Rioja API-98/B12.

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A new type of recurrence relations for the secant methodFootnote∗Supported in part by a grant of the DGES (PB-96-0120-C03-02) and a grant of the University of La Rioja API-98/B12.

Citations (7)

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Articles from other publishers (6)

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A new type of recurrence relations for the secant methodFootnote^∗
Supported in part by a grant of the DGES (PB-96-0120-C03-02) and a grant of the University of La Rioja API-98/B12.