A fast and efficient composite Newton-Chebyshev method for systems of nonlinear equations

DOI10.1016/J.JCO.2018.07.005zbMath1415.65127OpenAlexW2884698631WikidataQ129458785 ScholiaQ129458785MaRDI QIDQ1791681

Janak Raj Sharma, Deepak Kumar

Publication date: 11 October 2018

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2018.07.005

zbMATH Keywords

computational complexityconvergencenonlinear systemsChebyshev methodNewton method

Mathematics Subject Classification ID

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

Related Items (6)

New techniques to develop higher order iterative methods for systems of nonlinear equations ⋮ Semilocal convergence analysis of an efficient Steffensen-type fourth order method ⋮ Simple yet highly efficient numerical techniques for systems of nonlinear equations ⋮ Extended local convergence and comparisons for two three-step Jarratt-type methods under the same conditions ⋮ Positive coincidence points for a class of nonlinear operators and their applications to matrix equations ⋮ CMMSE: a novel scheme having seventh-order convergence for nonlinear systems

Uses Software

• MPFR

Cites Work

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• Super cubic iterative methods to solve systems of nonlinear equations
• Analysis of two Chebyshev-like third order methods free from second derivatives for solving systems of nonlinear equations
• A semilocal convergence analysis for directional Newton methods
• Convergence and Applications of Newton-type Iterations
• MPFR
• Analysis of semilocal convergence in banach spaces under relaxed condition and computational efficiency
• A variant of Newton's method with accelerated third-order convergence

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