a question on proot
Publié : dim. déc. 17, 2017 6:45 am
Hi,
I am trying to understand the code behind proot. But I don't think I would understand it in a very short time. I just want to confirm one thing, maybe someone could help answering this question:
Suppose I have an irreducible polynomial of degree 2d in one variable (coefficients are all integers) and such that roots are all non-real and have multiplicity 1. Is it true that proot outputs the roots as conjugate pairs in sequence. What I mean is that is it true that the output of proot is:
where zi, i=1,..,d are distinct complex roots. I have the impression that this is true (if so I do not need to write an extra code finding where the imaginary conjugates are).
Jose
I am trying to understand the code behind proot. But I don't think I would understand it in a very short time. I just want to confirm one thing, maybe someone could help answering this question:
Suppose I have an irreducible polynomial of degree 2d in one variable (coefficients are all integers) and such that roots are all non-real and have multiplicity 1. Is it true that proot outputs the roots as conjugate pairs in sequence. What I mean is that is it true that the output of proot is:
Code : Tout sélectionner
[z1,conj(z1),z2,conj(z2),..., zd,conj(zd)]Jose