New uni-parametric family of multipoint methods with memory for systems of nonlinear equations

DOI10.1007/s40324-016-0082-0zbMath1384.65031OpenAlexW2338869834MaRDI QIDQ1696993

Mona Narang, Saurabh Bhatia, Vinay Kanwar

Publication date: 15 February 2018

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-016-0082-0

zbMATH Keywords

iterative algorithmNewton's methodsystem of nonlinear equationsnumerical experimentcomputational efficiency\(R\)-order of convergencemultipoint methods

Mathematics Subject Classification ID

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

Uses Software

• Mathematica

Cites Work

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• Über ein Verfahren der Ordnung \(1+\sqrt 2\) zur Nullstellenbestimmung
• Some supplementary results on the \(1+\sqrt 2\) order method for the solution 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
• A simple modification of Newton's method to achieve convergence of order \(1+\sqrt 2\)
• A fourth-order method from quadrature formulae to solve systems of nonlinear equations
• Variants of Newton's method using fifth-order quadrature formulas
• A multi-step class of iterative methods for nonlinear systems
• Tangent methods for nonlinear equations
• Numerical Solution of Stochastic Differential Equations in Finance
• Two weighted eight-order classes of iterative root-finding methods
• Some new efficient multipoint iterative methods for solving nonlinear systems of equations
• Solving Nonlinear Equations with Newton's Method

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