Some new efficient multipoint iterative methods for solving nonlinear systems of equations

DOI10.1080/00207160.2014.946412zbMath1328.65124OpenAlexW2107546605MaRDI QIDQ3451406

Parisa Bakhtiari, Katayoun Mahdiani, Taher Lotfi, Alicia Cordero, Juan Ramón Torregrosa Sánchez

Publication date: 16 November 2015

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10251/65553

zbMATH Keywords

computational complexitynonlinear systemsnumerical examplesLU factorizationmultipoint iterationJacobian matricessixth-order convergence

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

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Cites Work

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• Fourth- and fifth-order methods for solving nonlinear systems of equations: an application to the global positioning system
• Approximation of artificial satellites' preliminary orbits: the efficiency challenge
• On Halley-type iterations with free second derivative
• An analysis of the properties of the variants of Newton's method with third order convergence
• On interpolation variants of Newton's method for functions of several variables
• New third-order method for solving systems of nonlinear equations
• Geometric constructions of iterative functions to solve nonlinear equations
• 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
• On a novel fourth-order algorithm for solving systems of nonlinear equations
• Variants of Newton's method using fifth-order quadrature formulas
• A multi-step class of iterative methods for nonlinear systems
• Increasing the order of convergence of iterative schemes for solving nonlinear systems
• Improvements of the efficiency of some three-step iterative like-Newton methods
• Analysis of two Chebyshev-like third order methods free from second derivatives for solving systems of nonlinear equations
• A family of Chebyshev-Halley type methods in Banach spaces
• A variant of Newton's method with accelerated third-order convergence
• A modified Newton-Jarratt's composition

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