A Note on the Moore Test for Nonlinear Systems

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 1982 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 19, pages 851-857 (issn: 0036-1429, eissn: 1095-7170,

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Authors: Qi, L.;

doi: 10.1137/0719061

A Note on the Moore Test for Nonlinear Systems

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Abstract

The Moore test for nonlinear systems is improved in two directions. One presents the convergence test theorem under more general conditions. Another is a second-derivative test which reduces by half each edge of the test interval vector in the case of quadratic systems. Interval techniques are employed in the discussion.

Keywords

convergence test, Moore test, Numerical computation of solutions to systems of equations, Interval and finite arithmetic, Krawczyk-operators

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