I need to find n roots for a given polynomial of order n, single root methods like newton and secant wont work in this case, and Durand Kerner doesn't seem to converge nearly as often as I need it to, are there any other stable methods that output multiple roots? Any help appreciated.
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Please elaborate on the problems with Newton (with deflation). Try Newtons method for $f(z)=p(z)·e^{i\epsilon z}$. How do you determine the initial configuration of root approximations of Durand-Kerner? – Lutz Lehmann Feb 29 '16 at 22:45
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https://en.m.wikipedia.org/wiki/Sturm%27s_theorem ? – user251257 Feb 29 '16 at 22:45
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i use the standard non unity 0.4 + .9i – BinkyNichols Mar 05 '16 at 16:43
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1Have you looked into Aberth's method? – J. M. ain't a mathematician Jun 04 '16 at 06:26