Cardoso, J. R. and Loureiro, Ana F. (2011) Iteration functions for pth roots of complex numbers. Numerical Algorithms, 57 (3). pp. 329-356. ISSN 1017-1398.
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A novel way of generating higher-order iteration functions for the computation of pth roots of complex numbers is the main contribution of the present work. The behavior of some of these iteration functions will be analyzed and the conditions on the starting values that guarantee the convergence will be stated. The illustration of the basins of attractions of the pth roots will be carried out by some computer generated plots. In order to compare the performance of the iterations some numerical examples will be considered.
|Uncontrolled keywords:||Higher-order convergence; Iteration function; pth root; Residual|
|Subjects:||Q Science > QA Mathematics (inc Computing science) > QA297 Numerical analysis|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics|
|Depositing User:||Ana F. Loureiro|
|Date Deposited:||11 Oct 2012 15:12|
|Last Modified:||12 Feb 2013 16:56|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/31557 (The current URI for this page, for reference purposes)|
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