Bounding the slope of polynomial operators and some applications

DOI10.1007/BF02243480zbMath0444.65027MaRDI QIDQ1144906

G. E. Alefeld

Publication date: 1981

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

polynomial operatorsspeed of convergencebounding the slope

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Numerical computation of solutions to single equations (65H05)

Related Items (8)

Über die Konvergenzordnung des Intervall-Newton-Verfahrens. (On the order of convergence of the interval-Newton-method) ⋮ Experiences with a method for enclosing solutions of systems of equations ⋮ Low complexity k-dimensional Taylor forms ⋮ Solving interval constraints by linearization in computer-aided design ⋮ Nonlinear equations and optimization ⋮ Interval analysis: Theory and applications ⋮ Including iterations for the Lambda-matrix eigenproblem ⋮ Decomposition and interval arithmetic applied to global minimization of polynomial and rational functions

Cites Work

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• Errorbounds for simple zeros of \(\lambda\)-matrices
• Interval forms of Newtons method
• Solutions of Nonlinear Operator Equations
• Algorithms for Solvents of Matrix Polynomials
• Eine Übertragung der Regula Falsi auf Gleichungen in Banachräumen I

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