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Finding Roots
This is a standard topic in nearly all general texts on NA, and many routines exist in netlib (see Netlib ) and other libraries.See also Alan Miller's page on an algorithm for finding the roots of polynomial equations. It is a translation into Fortran 90 of the version of Aberth's method by D. Bini in Numerical Algorithms, v.13 (1996), 179-200. The Fortran 77 code for this algorithm can be obtained from the numeralgo directory of netlib (see Netlib ).
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Updated August 12, 2010