Iterative solution of systems of nonlinear equations based upon quadratic approximations

DOI10.1016/0898-1221(86)90192-6zbMath0609.65042OpenAlexW1964706674MaRDI QIDQ3750044

Wilhelm Werner

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0898-1221(86)90192-6

zbMATH Keywords

numerical examplesHalley's methodBanach spacelocal convergenceChebyshev's methodmethod of tangent hyperbolasmethod of tangent parabolas

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (5)

A new cubic convergent method for solving a system of nonlinear equations ⋮ A global convergent derivative-free method for solving a system of non-linear equations ⋮ A cubically convergent method for solving the largest eigenvalue of a nonnegative irreducible tensor ⋮ On new iterative method for solving systems of nonlinear equations ⋮ Historical developments in convergence analysis for Newton's and Newton-like methods

Cites Work

• Näherungsverfahren höherer Ordnung für Gleichungen in Banach- Räumen
• Konstruktion und Durchführung von Iterationsverfahren höherer Ordnung
• Zur Konvergenz des Verfahrens der tangierenden Hyperbeln und des Tschebyscheff-Verfahrens bei konvexen Abbildungen
• On the global convergence of Halley's iteration formula
• Iterationsverfahren höherer Ordnung in Banach-Räumen
• Das Tschebyscheff-Verfahren in Banach-Räumen
• Quadratic equations in Banach spaces
• Über einige Klassen von Iterationsverfahren in Banach-Räumen
• An Iterative Solution of the Quadratic Equation in Banach Space
• On Halley's Iteration Method
• On the Convergence of Halley's Method
• Some efficient algorithms for the solution of a single nonlinear equation
• On Halley's Variation of Newton's Method
• The Deferred Approach to the Limit for Eigenvalues of Integral Equations
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