Über Matrixdarstellungen für Iterationsverfahren bei nichtlinearen Gleichungen

DOI10.1007/BF02293107zbMath0278.65054OpenAlexW378464387MaRDI QIDQ1394091

Jürgen Herzberger

Publication date: 1974

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02293107

Mathematics Subject Classification ID

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

Related Items (14)

On Q-order and R-order of convergence ⋮ On an application of Herzberger’s matrix method to multipoint families of root-solvers ⋮ On the R-order of coupled sequences ⋮ A note on King's fifth-order family of methods for solving equations ⋮ Interpolatory multipoint methods with memory for solving nonlinear equations ⋮ Unnamed Item ⋮ Multipoint methods for solving nonlinear equations: a survey ⋮ On an efficient family of derivative free three-point methods for solving nonlinear equations ⋮ On generalized biparametric multipoint root finding methods with memory ⋮ A general class of four parametric with- and without memory iterative methods for nonlinear equations ⋮ A note on neta's family of sixth-order methods for solving equations ⋮ A new family of higher order methods for solving equations ⋮ On the \(Q\)-order of convergence for coupled sequences arising in iterative numerical processes ⋮ Asymptotic Behavior of Vector Recurrences with Applications

Cites Work

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• On the Convergence Speed of Some Algorithms for the Simultaneous Approximation of Polynomial Roots
• Parallel Methods for Approximating the Root of a Function
• Matrix Representations of Nonlinear Equation Iterations--Application to Parallel Computation
• Optimality in a Class of Rootfinding Algorithms

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