ASKSAGE: Sage Q&A Forum - Latest question feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Wed, 15 Mar 2017 15:27:39 -0500smith form, gaussian integershttps://ask.sagemath.org/question/36958/smith-form-gaussian-integers/ Hello there,
I would like to be able to compute smith normal forms for matrices with coefficients in some specific ring, to be choosen each time.
I am not able to properly creat a matrix in $\mathbb{Z}[\sqrt{-1}]$. For instance
`M=matrix([[2+I,0],[0,1]])` then
`M.change_ring(ZZ[I])`
Would lead to an error. On the ogher hand, `M=matrix([[2+I,0],[0,1]])` followed by `M.smith_form()` would lso lead to an error since this time my matrix has coefficients in `SR`, the symbolic ring, and the `normal_form()`is not implemented.
However,
`A = QQ['x']` #delcaring the ring
`M=matrix(A,[[x-1,0,1],[0,x-2,2],[0,0,x-3]])` # building the matrix
`M.smith_form()`# computing the normal form
Actually works.
JCBRWed, 15 Mar 2017 15:27:39 -0500https://ask.sagemath.org/question/36958/