[GiNaC-list] Polynomial Zeros
Vladimir V. Kisil
V.Kisil at leeds.ac.uk
Wed Oct 11 10:14:40 CEST 2023
>>>>> On Mon, 9 Oct 2023 15:05:28 -1000, Charles White <whitece6 at hawaii.edu> said:
CW> Hi GiNaC! Is there a built-in method to find all zeros of a
CW> polynomial? I'm trying to find symbolic zeros if possible and
CW> numeric zeros for all other cases.
If I remember correctly, analytic expression for polynomial roots is
possible only up to the four order (inclusively). These formulae can
be directly coded by a user. For a generic polynomial with integer
coefficient factor() method may give hint on possible integer
roots. Numerical approximation may be obtained by fsolve(), see
section "2.2 What it can do for you" of the tutorial.
--
Vladimir V. Kisil http://www1.maths.leeds.ac.uk/~kisilv/
Book: Geometry of Mobius Maps https://doi.org/10.1142/p835
Soft: Geometry of cycles http://moebinv.sourceforge.net/
Jupyter notebooks: https://github.com/vvkisil?tab=repositories
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