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The Schwarzian-Newton method for solving nonlinear equations, with applications

The Schwarzian-Newton method for solving nonlinear equations, with applications

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_crossref_citationtrail_10_1090_mcom_3119

The Schwarzian-Newton method for solving nonlinear equations, with applications

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Full title

The Schwarzian-Newton method for solving nonlinear equations, with applications

Author / Creator

Publisher

Providence, Rhode Island: American Mathematical Society

Journal title

Mathematics of computation, 2017-03, Vol.86 (304), p.865-879

Language

English

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Publication information

Publisher

Providence, Rhode Island: American Mathematical Society

Subjects

Subjects and topics

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Scope and Contents

Contents

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...

Alternative Titles

Full title

The Schwarzian-Newton method for solving nonlinear equations, with applications

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Record Identifier

TN_cdi_crossref_citationtrail_10_1090_mcom_3119

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_crossref_citationtrail_10_1090_mcom_3119

Other Identifiers

ISSN

0025-5718

E-ISSN

1088-6842

DOI

10.1090/mcom/3119

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