Visualizing Newton method on fractional exponents

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Abstract
  • Newton's method for finding complex solutions of the equation z(alpha) - 1 = 0 is investigated for real values of alpha. The bifurcations that occur as the power alpha varies are illuminated with computer graphics. In particular, the appearance of an attracting 2-cycle just below even powers is investigated.
TitleVisualizing Newton method on fractional exponents
CreatorLahr, N. B.
Reiter, Clifford A.
PublisherVisual Computer
Academic DepartmentMathematics
DivisionNatural Sciences
OrganizationLafayette College
Date Issued1994
Date Available2015-04-17T21:01:54Z
TypeArticle
LanguageEnglish
Keywordchaos
Newton's method
visualization
Bibliographic CitationLahr, N. B. and C. A. Reiter (1994) "Visualizing Newton method on fractional exponents." Visual Computer 11 (2): 82-6.
Standard IdentifierDOI 10.1007/BF01889978
Handle 10385/1816
Permalinkhttp://hdl.handle.net/10385/1816
Rights Statement In Copyright In Copyright
Rights HoldersSpringer-Verlag
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File Reiter-VisualComputer-vol11-1994.pdf Uploaded 2019-10-20 Public Download

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