File:Newton-lplane-Mandelbrot.jpg
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DescriptionNewton-lplane-Mandelbrot.jpg |
English: Computergraphical study of the critical point 0 of some polynomials under Newton's method in the complex -plane |
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Date | ||||
Source | Own work | |||
Author | Georg-Johann Lay | |||
Permission (Reusing this file) |
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Summary[edit]
in the complex plane. denotes the Newton operator
For in the black part of the plane, the critical point 0 of does not converge to a zero of . This means that the set of start values for which Newton's method does not converge to a zero of is a set of full measure. The black set is
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 14:26, 11 April 2008 | 6,000 × 4,800 (2.66 MB) | Georg-Johann (talk | contribs) | - | |
12:20, 11 April 2008 | 2,000 × 1,600 (351 KB) | Georg-Johann (talk | contribs) | crop | ||
12:00, 11 April 2008 | 2,000 × 2,000 (326 KB) | Georg-Johann (talk | contribs) | {{Information |Description= |Source=self-made |Date={{2008-04-11}} |Author= Georg-Johann Lay |Permission={{PD-self}} |other_versions= }} |
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