| Title |
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A modification of Newton's method for analytic mappings having multiple zeros
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| Author |
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| Abstract |
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| We propose a modification of Newtons method for computing multiple roots of systems of analytic
equations. Under mild assumptions the iteration converges quadratically. It involves certain constants
whose product is a lower bound for the multiplicity of the root. As these constants are usually not
known in advance, we devise an iteration in which not only an approximation for the root is refined,
but also approximations for these constants. Numerical examples illustrate the effectiveness of our
approach. | |
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| Language |
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English
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| Source (journal) |
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Computing: archives for informatics and numerical computation. - Wien |
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| Publication |
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Wien : 1999
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| ISSN |
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0010-485X
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| Volume/pages |
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62:2(1999), p. 129-145
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| ISI |
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000080453400003
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| Full text (Publishers DOI) |
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