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Rate of convergence of a generalization of Newton's method

โœ Scribed by Y. Benadada; J. P. Crouzeix; J. A. Ferland


Publisher
Springer
Year
1993
Tongue
English
Weight
243 KB
Volume
78
Category
Article
ISSN
0022-3239

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๐Ÿ“œ SIMILAR VOLUMES


An improvement of convergence in Newton'
โœ S. Lopez ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 393 KB

Newton's method is based on a linear approximation of the function in a neighborhood of a solution point. It can be demonstrated that the error in the current iteration depends on the norm of second derivative. Instead using a higher-order approximation, the second derivative is used here to transfo