A modified trapezoidal Broyden's method for nonlinear equations

DOI10.1134/S0965542521040102zbMath1469.65096OpenAlexW3154366685MaRDI QIDQ2030115

Song Wu, Hai-Jun Wang

Publication date: 7 June 2021

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542521040102

zbMATH Keywords

nonlinear equationssuperlinear convergencequasi-Newton methodtrapezoidal Broyden's method

Mathematics Subject Classification ID

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

Cites Work

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• A comparison of the Newton-Krylov method with high order Newton-like methods to solve nonlinear systems
• New third-order method for solving systems of nonlinear equations
• On Broyden-like update via some quadratures for solving nonlinear systems of equations
• Inexact Newton Methods
• On the Convergence of Broyden's Method for Nonlinear Systems of Equations
• A New Sparsity Preserving Quasi-Newton Update for Solving Nonlinear Equations
• A Class of Methods for Solving Nonlinear Simultaneous Equations
• A variant of Newton's method with accelerated third-order convergence

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