[sage-support] trouble with M.hessenberg_form()

2012-04-13 Thread Ben Goodrich
Hi, I am confused by the output of the hessenberg_form() method applied to a symmetric matrix. In sage 4.8, the result is neither symmetric nor tridiagonal. For example, I unsuccessfully tried to replicate an example from http://eigen.tuxfamily.org/dox/classEigen_1_1Tridiagonalization.html s

[sage-support] Re: Roots of polynomial system involving square roots

2010-03-01 Thread Ben Goodrich
Thank you Yann and Simon for your suggestions. I think solve() may be too limited for my actual problem, but augmenting the ideal with additional polynomials could work with a bit of effort on my part. Thanks again, Ben -- To post to this group, send email to sage-support@googlegroups.com To un

[sage-support] Roots of polynomial system involving square roots

2010-02-28 Thread Ben Goodrich
Hi, I have a symbolic polynomial system that I would like to characterize the roots of. Although I know that if there are any roots they are real and positive, the polynomials involve square roots (of positive quantities) and sage does not seem to like that and nor does it like ^(1/2). The followi

[sage-support] Bug in sympy interface?

2008-02-23 Thread Ben Goodrich
Hi, Pursuant to http://groups.google.com/group/sage-support/browse_thread/thread/f05932c2048f0ac0/ I am now trying to solve a system of equations using sympy instead of Maxima to see if sympy's behavior is closer to that of Mathematica. The following example is from the sympy tutorial (where i

[sage-support] Re: System of Equations Question

2008-02-18 Thread Ben Goodrich
On Feb 18, 3:58 pm, "David Joyner" <[EMAIL PROTECTED]> wrote: > I believe Sage simply calls Maxima for the solution. Since you > obviously know the > most about the problem, perhaps the easiest thing to do would be to determine > that it is Sage and not Maxima that is at fault. Perhaps you could s

[sage-support] Re: System of Equations Question

2008-02-18 Thread Ben Goodrich
On Feb 18, 3:14 pm, Ben Goodrich <[EMAIL PROTECTED]> wrote: > I maintain an R package, but there is one place where a symbolic > solution is needed to verify a result. I would like to write an R > function that prints proper SAGE input so that users can easily feed > it to SAG

[sage-support] System of Equations Question

2008-02-18 Thread Ben Goodrich
Hi, I maintain an R package, but there is one place where a symbolic solution is needed to verify a result. I would like to write an R function that prints proper SAGE input so that users can easily feed it to SAGE. However, I have not yet been able to get SAGE to produce the expected behavior fo