matdet

Function: matdet
Section: linear_algebra
C-Name: det0
Prototype: GD0,L,
Help: matdet(x,{flag=0}): determinant of the matrix x using an appropriate
 algorithm depending on the coefficients. If (optional) flag is set to 1, use
 classical Gaussian elimination (usually worse than the default).
Description:
 (gen, ?0):gen           det($1)
 (gen, 1):gen            det2($1)
 (gen, #small):gen       $"incorrect flag in matdet"
 (gen, small):gen        det0($1, $2)
Doc: determinant of the square matrix $x$.

 If $\fl=0$, uses an appropriate algorithm depending on the coefficients:

 \item integer entries: modular method due to Dixon, Pernet and Stein.

 \item real or $p$-adic entries: classical Gaussian elimination using maximal
 pivot.

 \item intmod entries: classical Gaussian elimination using first nonzero
 pivot.

 \item other cases: Gauss-Bareiss.

 If $\fl=1$, uses classical Gaussian elimination with appropriate pivoting
 strategy (maximal pivot for real or $p$-adic coefficients). This is usually
 worse than the default.

Variant: Also available are \fun{GEN}{det}{GEN x} ($\fl=0$),
 \fun{GEN}{det2}{GEN x} ($\fl=1$) and \fun{GEN}{ZM_det}{GEN x} for integer
 entries.

Function: _ZM_det_worker
C-Name: ZM_det_worker
Prototype: GG
Section: programming/internals
Help: worker for ZM_det