The Schwarzian-Newton method for solving nonlinear equations, with applications
The Schwarzian-Newton method for solving nonlinear equations, with applications
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Providence, Rhode Island: American Mathematical Society
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English
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Providence, Rhode Island: American Mathematical Society
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The Schwarzian-Newton method (SNM) can be defined as the minimal method for solving nonlinear equations f(x)=0f(x)=0 which is exact for any function ff with constant Schwarzian derivative. Exactness means that the method gives the exact root in one iteration for any starting value in a neighborhood of the root. This is a fourth order method which h...
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The Schwarzian-Newton method for solving nonlinear equations, with applications
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TN_cdi_crossref_citationtrail_10_1090_mcom_3119
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_crossref_citationtrail_10_1090_mcom_3119
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ISSN
0025-5718
E-ISSN
1088-6842
DOI
10.1090/mcom/3119