An approach to backward analysis for linear and nonlinear iterative methods

DOI10.1007/BF02242004zbMath0432.65029OpenAlexW367658435MaRDI QIDQ1138887

P. Spellucci

Publication date: 1980

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02242004

zbMATH Keywords

error boundroundoff errorsbackward analysisbackwards stabilityanalysis of the limiting accuracylinear and nonlinear iterative methodsUrabe formula

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Iterative numerical methods for linear systems (65F10) Roundoff error (65G50)

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Hyman's method revisited ⋮ The theory of Newton's method

Cites Work

• Convergence of Newton-like methods for solving systems of nonlinear equations
• Numerical stability for solving nonlinear equations
• Numerical stability of the Chebyshev method for the solution of large linear systems
• On the asymptotic directions of the s-dimensional optimum gradient method
• Derivative free analogues of the Levenberg-Marquardt and Gauss algorithms for nonlinear least squares approximation
• A Stability Analysis for Perturbed Nonlinear Iterative Methods
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