On some efficient techniques for solving systems of nonlinear equations

DOI10.1155/2013/252798zbMath1292.65048OpenAlexW2112789374WikidataQ58919021 ScholiaQ58919021MaRDI QIDQ2248672

Janak Raj Sharma, Puneet Kumar Gupta

Publication date: 27 June 2014

Published in: Advances in Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/252798

zbMATH Keywords

numerical examplesiterative methodNewton iterationsystems of nonlinear equationscomputational efficiencyorder of convergence

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Complexity and performance of numerical algorithms (65Y20)

Uses Software

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• MPFR

Cites Work

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• Ostrowski type methods for solving systems of nonlinear equations
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• Third-order methods from quadrature formulae for solving systems of nonlinear equations.
• A modified Newton method with cubic convergence: the multivariate case
• An efficient fourth order weighted-Newton method for systems of nonlinear equations
• Iterative methods of order four and five for systems of nonlinear equations
• A fourth-order method from quadrature formulae to solve systems of nonlinear equations
• Variants of Newton's method using fifth-order quadrature formulas
• Some iterative methods for solving a system of nonlinear equations
• Remarks on “On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency”
• MPFR
• A family of Chebyshev-Halley type methods in Banach spaces
• Solving Nonlinear Equations with Newton's Method
• Kepler equation and accelerated Newton method
• A modified Newton-Jarratt's composition

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