Regula-falsi-Verfahren mit konsistenter Steigung und Majorantenprinzip

DOI10.1007/BF02023198zbMath0291.65017OpenAlexW2067212606MaRDI QIDQ1211342

Jochen W. Schmidt

Publication date: 1974

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02023198

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Numerical computation of solutions to systems of equations (65H10)

Related Items (29)

A method for finding sharp error bounds for Newton's method under the Kantorovich assumptions ⋮ On the convergence ball and error analysis of the modified secant method ⋮ Semilocal convergence of the secant method under mild convergence conditions of differentiability ⋮ A convergence theorem for Newton-like methods in Banach spaces ⋮ An improved convergence theorem for a class of secant-like methods ⋮ New sufficient convergence conditions of the secant method for nondifferentiable operators ⋮ A new semilocal convergence theorem for the secant method under Hölder continuous divided differences ⋮ Improved error bounds for the modified secant method ⋮ On the Convergence of Secant-Like Methods ⋮ Local convergence of efficient secant-type methods for solving nonlinear equations ⋮ An error analysis for the secant method ⋮ Chebyshev-secant-type methods for non-differentiable operators ⋮ Error for the modified secant method ⋮ Mysovskii-type theorem for the Secant method under Hölder continuous Fréchet derivative ⋮ A new semilocal convergence theorem for a fast iterative method with nondifferentiable operators ⋮ The convergence ball of the secant method under Hölder continuous divided differences ⋮ A new type of recurrence relations for the secant method^∗ ⋮ On an improved local convergence analysis for the Secant method ⋮ Untere Fehlerschranken für Regula-Falsi-Verfahren ⋮ Unnamed Item ⋮ Achieving an extended convergence analysis for the secant method under a restricted Hölder continuity condition ⋮ Convergence analysis for the secant method based on new recurrence relations ⋮ A convergence theorem for Newton’s method in Banach spaces ⋮ Error bounds for Newton-like methods under Kantorovich type assumptions ⋮ Solving a special case of conservative problems by secant-like methods ⋮ Historical developments in convergence analysis for Newton's and Newton-like methods ⋮ Error bounds for Newton's iterates derived from the Kantorovich theorem ⋮ Some methods for finding error bounds for Newton-like methods under mild differentiability conditions ⋮ The secant method for nondifferentiable operators

Cites Work

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• Inversionsfreie Verfahren zur Lösung nichtlinearer Operatorgleichungen
• Überlinear konvergente Mehrschrittverfahren vom Regula falsi‐ und Newton‐Typ
• A Unified Convergence Theory for a Class of Iterative Processes
• The Newton-Kantorovich Theorem
• Eine Übertragung der Regula Falsi auf Gleichungen in Banachräumen I

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