A numerical study on large-scale nonlinear solvers

DOI10.1016/0898-1221(96)00109-5zbMath0857.65059OpenAlexW2027627281MaRDI QIDQ1816666

D. N. Kozakevich, José Mario Martínez, Márcia Ap. Gomes-Ruggiero

Publication date: 27 November 1996

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(96)00109-5

zbMATH Keywords

numerical resultsNewton's methodquasi-Newton methodsglobalizationperformancesBroyden's methodcolumn-updating methodlarge-scale nonlinear solvers

Mathematics Subject Classification ID

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

Related Items

Inexact restoration method for minimization problems arising in electronic structure calculations, A globally convergent inexact Newton method with a new choice for the forcing term, Discrete Newton's method with local variations for solving large-scale nonlinear systems, Practical quasi-Newton methods for solving nonlinear systems

Uses Software

• KELLEY

Cites Work

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• Numerical experience with Newton-like methods for nonlinear algebraic systems
• Fast secant methods for the iterative solution of large nonsymmetric linear systems
• Inexact Newton Methods
• Newton’s Method with a Model Trust Region Modification
• The column-updating method for solving nonlinear equations in Hilbert space
• Comparing Algorithms for Solving Sparse Nonlinear Systems of Equations
• A Class of Methods for Solving Nonlinear Simultaneous Equations