On a monotone Newton-like method

DOI10.1007/BF02309557zbMath0627.65050OpenAlexW170742541MaRDI QIDQ1092613

Florian A. Potra

Publication date: 1987

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02309557

zbMATH Keywords

superlinear convergencemonotone convergenceNewton-like methodsconvex mappingsNewton-Fourier method

Mathematics Subject Classification ID

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

Related Items (3)

Sign matrix, regular splittings and monotonic enclosure of solutions for nonlinear system of equations. II ⋮ Monotone iterative methods for nonlinear operator equations^∗) ⋮ On a class of Newton-like methods for solving nonlinear equations

Cites Work

• On the monotone convergence of Newton's method
• Eingrenzung von Lösungen mit Hilfe der Regula falsi. (Inclusion of solutions by regula falsi)
• Newton-like methods with monotone convergence for solving nonlinear operator equations
• A Characterization of Superlinear Convergence and Its Application to Quasi-Newton Methods
• Monotone Iterations for Nonlinear Equations with Application to Gauss-Seidel Methods
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