Centered forms and interval operators

DOI10.1007/BF02253320zbMath0555.65029MaRDI QIDQ760761

Rudolf Krawczyk

Publication date: 1985

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

centered formsfixpointinterval operators

Mathematics Subject Classification ID

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

Related Items (2)

Interval Newton operators for function strips ⋮ On interval operators obtained by splitting the Lipschitz matrix

Cites Work

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• Order-convergence and iterative interval methods
• Mean value forms in interval analysis
• Interval extensions and interval iterations
• Bounding solutions of systems of equations using interval analysis
• Die zentrische Form in der Intervallarithmetik, ihre quadratische Konvergenz und ihre Inklusionsisotonie
• Die Überschätzung des Wertebereichs einer Funktion in der Intervallrechnung mit Anwendungen auf lineare Gleichungssysteme
• Interval forms of Newtons method
• On the solution of linear algebraic equations with interval coefficients
• Newton-Algorithmen zur Bestimmung von Nullstellen mit Fehlerschranken
• Nullstellenbestimmung mit der Intervallrechnung. (Determination of zeros with intervall arithmetic)
• A Modification of Krawczyk’s Algorithm
• About the Centered Form
• Centered Forms
• A Test for Existence of Solutions to Nonlinear Systems
• Über das Newton‐Verfahren bei nichtlinearen Gleichungssystemen
• On Solving Systems of Equations Using Interval Arithmetic
• Quadratic convergence in interval arithmetic, part II

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