Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4631128 | Applied Mathematics and Computation | 2011 | 7 Pages |
Abstract
In this work a condition on the starting values that guarantees the convergence of the Schröder iteration functions of any order to a pth root of a complex number is given. Convergence results are derived from the properties of the Taylor series coefficients of a certain function. The theory is illustrated by some computer generated plots of the basins of attraction.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
João R. Cardoso, Ana F. Loureiro,