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Zbl 1186.65056
Alefeld, Goetz
Verified numerical computation for nonlinear equations.
(English)
[J] Japan J. Ind. Appl. Math. 26, No. 2-3, 297-315 (2009). ISSN 0916-7005; ISSN 1868-937X/e

This is a kind of a survey paper on verification methods for solving nonlinear equations. Fixed point iterations, Newton-like methods, and methods for nonsmooth equations are explained and discussed.
[Jiří Rohn (Praha)]
MSC 2000:
*65G30 Interval and finite arithmetic
65H05 Single nonlinear equations (numerical methods)
65G20 Algorithms with automatic result verification

Keywords: fixed-point iteration; Newton-like methods; nonsmooth equation; survey paper; nonlinear equations

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