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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



On Bairstow’s method for the solution of polynomial equations

Author: Kenneth W. Brodlie
Journal: Math. Comp. 29 (1975), 816-826
MSC: Primary 65H05
MathSciNet review: 0381283
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Abstract: We show that Bairstow’s method is just one member of a family of similar algorithms for determining a quadratic factor of a polynomial. We suggest a way of choosing an appropriate member of this family for a particular problem. Numerical results indicate that our strategy compares favorably with the classical Bairstow algorithm.

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Keywords: Solution of polynomial equations, Bairstow’s method, quadratic factors of a polynomial
Article copyright: © Copyright 1975 American Mathematical Society