Inverse \(q\)-columns updating methods for solving nonlinear systems of equations

DOI10.1016/S0377-0427(03)00451-5zbMath1032.65054OpenAlexW1977993158MaRDI QIDQ1410869

Luziane Ferreira de Mendonça, Rosana Pérez, Véra Lucia Rocha Lopes

Publication date: 15 October 2003

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(03)00451-5

zbMATH Keywords

numerical examplesquasi-Newton methodssecant equationlarge-scale systems of nonlinear equationsInverse \(q\)-Columns Updating Method

Mathematics Subject Classification ID

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

Related Items (2)

Practical quasi-Newton algorithms for singular nonlinear systems ⋮ Sinc collocation approximation of non-smooth solution of a nonlinear weakly singular Volterra integral equation

Uses Software

• minpack

Cites Work

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• A quasi-Newton method with modification of one column per iteration
• Computational experience with globally convergent descent methods for large sparse systems of nonlinear equations^∗
• Testing Unconstrained Optimization Software
• Comparing Algorithms for Solving Sparse Nonlinear Systems of Equations
• Quasi-Newton Methods, Motivation and Theory
• Three new algorithms based on the sequential secant method
• On the Local and Superlinear Convergence of Quasi-Newton Methods
• Benchmarking optimization software with performance profiles.

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