Nonlinear function inversion using \(k\)-vector

DOI10.1016/j.amc.2017.10.009zbMath1426.65065arXiv2004.02342OpenAlexW2766923496MaRDI QIDQ2423024

David Arnas, Daniele Mortari

Publication date: 21 June 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.02342

zbMATH Keywords

convergence accelerationcomputational efficiencynonlinear functionsroot finders

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (1)

The \(n\)-dimensional \(k\)-vector and its application to orthogonal range searching

Uses Software

• DLMF
• BRENT

Cites Work

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• Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method
• Newton-homotopy analysis method for nonlinear equations
• Computation of Fresnel integrals
• A new family of higher order methods for solving equations
• A cubic approximation for Kepler's equation
• An improved algorithm due to laguerre for the solution of Kepler's equation
• On the Calculation of the Inverse of the Error Function.
• An acceleration of Newton's method: Super-Halley method

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