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2002 On the Computation of Nonhyperbolic Fixed Points
Mário M. Graça
Experiment. Math. 11(4): 477-485 (2002).

Abstract

In order to deal with nonhyperbolic fixed points of a given real iteration function g, we construct new iteration functions C which will be called combined. When a nonhyperbolic fixed point of g becomes a super attractor fixed point of C, the iteration function C is called flat.

Some flat iteration functions are constructed based on Newton's iteration function. Several numerical examples illustrating the good properties of flat iteration functions are presented.

Citation

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Mário M. Graça. "On the Computation of Nonhyperbolic Fixed Points." Experiment. Math. 11 (4) 477 - 485, 2002.

Information

Published: 2002
First available in Project Euclid: 10 July 2003

zbMATH: 1162.37316
MathSciNet: MR1969640

Subjects:
Primary: 47H99, 65H05
Secondary: 32S05, 58K05

Rights: Copyright © 2002 A K Peters, Ltd.

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Vol.11 • No. 4 • 2002
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