Slope tests for Newton-type methods

DOI10.1016/0096-3003(92)90090-NzbMath0765.65054OpenAlexW2062042805MaRDI QIDQ1207820

Zu He Shen, Michael A. Wolfe

Publication date: 16 May 1993

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(92)90090-n

zbMATH Keywords

convergenceerror estimatesnumerical examplesinterval analysisNewton iteration

Mathematics Subject Classification ID

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

Related Items

Interval methods for global optimization ⋮ On certain computable tests and componentwise error bounds

Cites Work

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• Derived eigenvalues of symmetric matrices, with applications to distance geometry
• On interval enclosures using slope arithmetic
• Interval boxes of solutions of nonlinear systems
• Interval operators of a function of which the Lipschitz matrix is an interval M-matrix
• A note on the comparison of the Kantorovich and Moore theorems
• Interval Slopes for Rational Functions and Associated Centered Forms
• A Convergence Test and Componentwise Error Estimates for Newton Type Methods
• A Note on the Moore Test for Nonlinear Systems

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