On the \(Q\)-order of convergence for coupled sequences arising in iterative numerical processes

DOI10.1007/BF02252254zbMath0864.65035OpenAlexW1559629805MaRDI QIDQ2564994

L. Metzner, Jürgen Herzberger

Publication date: 11 February 1997

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02252254

zbMATH Keywords

Banach spacelargest eigenvalue\(Q\)-order of convergenceparallel methodsvon Mises methodroots of a polynomialiterative numerical methods

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical computation of solutions to systems of equations (65H10) Iterative procedures involving nonlinear operators (47J25) Parallel numerical computation (65Y05) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (2)

A survey on the high convergence orders and computational convergence orders of sequences ⋮ How Many Steps Still Left to $x$*?

Cites Work

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• On Q-order and R-order of convergence
• Über Matrixdarstellungen für Iterationsverfahren bei nichtlinearen Gleichungen
• Asymptotic Behavior of Vector Recurrences with Applications
• On the Convergence Speed of Some Algorithms for the Simultaneous Approximation of Polynomial Roots
• Matrix Representations of Nonlinear Equation Iterations--Application to Parallel Computation

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