On the semilocal convergence of efficient Chebyshev–Secant-type methods
Copyright policy )On the semilocal convergence of efficient Chebyshev–Secant-type methods
We introduce a three-step ChebyshevSecant-type method (CSTM) with high efficiency index for solving nonlinear equations in a Banach space setting. We provide a semilocal convergence analysis for (CSTM) using recurrence relations. Numerical examples validating our theoretical results are also provided in this study. © 2011 Elsevier B.V. All rights reserved.
- University of La Rioja Spain
- University of Poitiers France
- Cameron University United States
- Laboratoire de Mathématiques et Applications France
numerical examples, Banach space, Numerical solutions to equations with nonlinear operators, Applied Mathematics, Newton’s method, Recurrence relations, Chebyshev's method, divided difference, Newton-type methods, Divided difference, secant method, Computational Mathematics, Newton's method, Iterative procedures involving nonlinear operators, recurrence relation, semilocal convergence, Chebyshev’s method, The secant method
numerical examples, Banach space, Numerical solutions to equations with nonlinear operators, Applied Mathematics, Newton’s method, Recurrence relations, Chebyshev's method, divided difference, Newton-type methods, Divided difference, secant method, Computational Mathematics, Newton's method, Iterative procedures involving nonlinear operators, recurrence relation, semilocal convergence, Chebyshev’s method, The secant method
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