hurwitz determinants

asked 2012-10-16 02:36:20 -0500

Hackstein gravatar image

updated 2015-01-17 15:34:45 -0500

FrédéricC gravatar image

Dear all,

let p(z)=z^n+a_1*z^{n-1}+...+a_n be a polynomial where n is a positive integer and a_1,a_2,..., a_n are real numbers. Then the so-called Hurwitz determinants of order k=1,2,...,n of p are defined as det(a_{2i-j}) , 1 \leq i,j \leq k where a_0=1 and a_l=0 for l<0 or l>k.

Is there a routine implemented in Sage to compute these determinants (numerically)?

Thanks a lot in advance.

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