A globally convergent method for simultaneously finding polynomial roots
Authors:
L. Pasquini and D. Trigiante
Journal:
Math. Comp. 44 (1985), 135-149
MSC:
Primary 65H05
DOI:
https://doi.org/10.1090/S0025-5718-1985-0771036-6
MathSciNet review:
771036
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Abstract: A new method for the simultaneous approximation of all the roots of a polynomial is given. The method converges for almost every initial approximation, the set of the exceptional starting points being a closed set of measure zero, at least if all the polynomial roots are real and simple. The method exhibits quadratic convergence not only to simple, but also to multiple roots.
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Article copyright:
© Copyright 1985
American Mathematical Society
