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http://dx.doi.org/10.7858/eamj.2010.26.3.365

LOCAL RESULTS FOR A CONTINUOUS ANALOG OF NEWTON'S METHOD  

Argyros, Ioannis K. (CAMERON UNIVERSITY DEPARTMENT OF MATHEMATICS SCIENCES)
Hilout, Said (POITIERS UNIVERSITY LABORATOIRE DE MATHEMATIQUES ET APPLICATIONS)
Publication Information
East Asian mathematical journal / v.26, no.3, 2010 , pp. 365-370 More about this Journal
Abstract
A local convergence result is provided for the continuous analog of Newton's method in a Banach space setting. The radius of convergence is larger, the error bounds tighter, and under the same or weaker hypotheses than before [12].
Keywords
continuous Newton's method; Hilbert space; radius of convergence; Lipschitz condition;
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