The polynomial will be of integer coefficients always. k will be given as square-root of some integer.
Does that help? On Sunday, May 10, 2015 at 10:57:43 AM UTC-5, William wrote: > > On Sun, May 10, 2015 at 8:43 AM, Phoenix <[email protected] > <javascript:>> wrote: > > I have a polynomial which is of degree ~500 and a number $k$. > > I want to check two properties, > > Your question is far too ambiguous. You should make available an > explicit example of a polynomial and a k that are want to try to do > this with. For example, this problem is completely different > depending o whether the coefficients of the polynomial are floating > point or say huge exact rational numbers, or maybe numbers in an > algebraic number field... > > > > > - That all the roots of this polynomial are real > > > > - That the largest root is below $k$. > > > > What is the fastest way to check this? > > > > -- > > You received this message because you are subscribed to the Google > Groups > > "sage-support" group. > > To unsubscribe from this group and stop receiving emails from it, send > an > > email to [email protected] <javascript:>. > > To post to this group, send email to [email protected] > <javascript:>. > > Visit this group at http://groups.google.com/group/sage-support. > > For more options, visit https://groups.google.com/d/optout. > > > > -- > William (http://wstein.org) > -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.
