#11356: Companion matrix constructor
------------------------------+---------------------------------------------
   Reporter:  rbeezer         |          Owner:  jason, was  
       Type:  enhancement     |         Status:  needs_review
   Priority:  minor           |      Milestone:  sage-4.7.1  
  Component:  linear algebra  |       Keywords:  beginner    
Work_issues:                  |       Upstream:  N/A         
   Reviewer:                  |         Author:  Rob Beezer  
     Merged:                  |   Dependencies:              
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Comment(by ddrake):

 Perhaps you should add a little suggestion for converting a symbolic
 polynomial to the kind of list this function needs; something like:

 {{{
 sage: x = var('x'); sympoly = x^3 + 2*x + 5
 sage: parent(sympoly)
 Symbolic Ring
 sage: coefflist = [sympoly(x=0)] + [sympoly.coeff(x^k) for k in
 [1..sympoly.degree(x)]]; coefflist
 [5, 2, 0, 1]
 sage: companion_matrix(coefflist)
 ...whatever...
 }}}

 (One might be tempted to use `.coeffs(x)`, but that leaves out zero
 coefficients.)

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11356#comment:8>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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