An improved interval Newton operator

DOI10.1016/0022-247X(86)90303-3zbMath0602.65033MaRDI QIDQ1082038

B. George

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessinterval arithmeticfunction stripNewton operators

Mathematics Subject Classification ID

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

Related Items (14)

Interval Newton operators for function strips ⋮ Formulas for the width of interval products ⋮ Solving interval constraints by linearization in computer-aided design ⋮ A class of componentwise Krawczyk-Moore type iteration methods ⋮ A rigorous deterministic global optimization approach for the derivation of secondary information in digital maps ⋮ A modification of krawczyk's algorithm ⋮ New spherical 4-designs ⋮ A generalisation of the interval Newton single-step method for nonlinear systems of equations ⋮ Rigorous sensitivity analysis for parameter-dependent systems of equations ⋮ SIROCCO: A Library for Certified Polynomial Root Continuation ⋮ Optimal centers in branch-and-prune algorithms for univariate global optimization ⋮ A Lipschitz operator for function strips ⋮ Interval iteration for zeros of systems of equations ⋮ Properties of interval operators

Cites Work

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• New techniques for the analysis of linear interval equations
• Interval iterations for including a set of solutions
• Order-convergence and iterative interval methods
• Computing Perturbation Bounds for Nonlinear Algebraic Equations
• Representations of Intervals and Optimal Error Bounds
• Zur scharfen Außenabschätzung der Lösungsmenge bei linearen Intervallgleichungssystemen
• Über das Newton‐Verfahren bei nichtlinearen Gleichungssystemen

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