Singularities in Bairstow’s method
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Sofo, Anthony and Glasson, Alan (2010) Singularities in Bairstow’s method. Gazette of the Australian Mathematical Society, 37 (2). pp. 93-100. ISSN 0311-0729 (print) 1326-2297 (online)
Abstract
It is shown that the nature and location of points at which Bairstow’s method becomes undefined depend on elementary properties of the polynomial to which it is applied. Examples are given that illustrate the dynamics of Bairstow’s method when a singularity occurs at a solution point, and a linear convergence rate is proved for polynomials with a repeated irreducible quadratic factor.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/7421 |
| Official URL | http://www.austms.org.au/Gazette+Volume+37+Number+... |
| Subjects | Current > Division/Research > VU College Historical > FOR Classification > 0102 Applied Mathematics Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences |
| Keywords | ResPubID19902, Bairstow’s method, polynomial, singularity, linear convergence rate, quadratic factor |
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