|
D.3.1.23 rowred
Procedure from library matrix.lib (see matrix_lib).
- Usage:
- rowred(A[,e]); A matrix, e any type
- Return:
- - a matrix B, being the row reduced form of A, if rowred is called
with one argument.
(as far as this is possible over the polynomial ring; no division
by polynomials)
- a list L of two matrices, such that L[1] = L[2] * A with L[1]
the row-reduced form of A and L[2] the transformation matrix
(if rowred is called with two arguments).
- Assume:
- The entries of A are in the base field. It is not verified whether
this assumption holds.
- Note:
- * This procedure is designed for teaching purposes mainly.
* The straight forward Gaussian algorithm is implemented in the
library (no standard basis computation).
The transformation matrix is obtained by concatenating a unit
matrix to A. proc gauss_row should be faster.
* It should only be used with exact coefficient field (there is no
pivoting) over the polynomial ring (ordering lp or dp).
* Parameters are allowed. Hence, if the entries of A are parameters
the computation takes place over the field of rational functions.
Example:
See also:
gauss_row.
|