A class of componentwise Krawczyk-Moore type iteration methods

DOI10.1007/BF02238738zbMath0672.65029OpenAlexW369429980MaRDI QIDQ1120252

Zu He Shen

Publication date: 1989

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238738

zbMATH Keywords

numerical examplesinterval analysisKrawczyk operatorMoore testKrawczyk-Moore-type iteration methodoptimal centered forms

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Interval and finite arithmetic (65G30)

Cites Work

• Unnamed Item
• Existence of solutions of piecewise differentiable systems of equations
• An improved interval Newton operator
• Optimal centered forms
• Bounding solutions of systems of equations using interval analysis
• Interval forms of Newtons method
• Newton-Algorithmen zur Bestimmung von Nullstellen mit Fehlerschranken
• A Globally Convergent Ball Newton Method
• A Convergence Test and Componentwise Error Estimates for Newton Type Methods
• A Modification of Krawczyk’s Algorithm
• A Successive Interval Test for Nonlinear Systems
• A Test for Existence of Solutions to Nonlinear Systems
• A Computational Test for Convergence of Iterative Methods for Nonlinear Systems
• A Note on the Moore Test for Nonlinear Systems

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