On the R-order of coupled sequences

DOI10.1007/BF02237952zbMath0443.65036MaRDI QIDQ1144362

Jochen W. Schmidt

Publication date: 1981

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

iterative methodsnormed spacessuperlinear convergencecoupled sequences

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Iterative numerical methods for linear systems (65F10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (8)

Explicit bounds for the positive root of classes of polynomials with applications ⋮ Monotone iterative methods for nonlinear operator equations^∗) ⋮ The root and Bell's disk iteration methods are of the same error propagation characteristics in the simultaneous determination of the zeros of a polynomial. II: Round-off error analysis by use of interval arithmetic ⋮ A class of superlinear decomposition beetiiods in nonlinear equations ⋮ Variants of the reduced Newton method for nonlinear equality constrained optimization problems ⋮ A survey on the high convergence orders and computational convergence orders of sequences ⋮ The root and Bell's disk iteration methods are of the same error propagation characteristics in the simultaneous determination of the zeros of a polynomial. I: Correction methods ⋮ Acceleration of superlinearly convergent sequences

Cites Work

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• Über Matrixdarstellungen für Iterationsverfahren bei nichtlinearen Gleichungen
• Eingrenzung von Lösungen nichtlinearer Gleichungen durch Verfahren mit höherer Konvergenzgeschwindigkeit. (Inclusion of solutions of nonlinear equations by methods with higher convergence rate).
• Parallel Methods for Approximating the Root of a Function
• Matrix Representations of Nonlinear Equation Iterations--Application to Parallel Computation
• Der Konvergenzgrad bei iterativer Lösung von Gleichungen durch inverse Interpolation

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