determ

determinant of polynomial matrix

Calling Sequence

res=determ(W [,k])

Arguments

:W real square polynomial matrix : :k integer (upper bound for the degree of the determinant of W) :

Description

returns the determinant of a real polynomial matrix (computation made by FFT if W size is greater than 2*2).

res=determ(W [,k]) k is an integer larger than the actual degree of the determinant of W.

The default value of k is the smallest power of 2 which is larger than n*max(degree(W)).

Method (Only if W size is greater than 2*2) : evaluate the determinant of W for the Fourier frequencies and apply inverse FFT to the coefficients of the determinant.

Examples

s=`poly`_(0,'s');
w=s*`rand`_(10,10);
determ(w)
`det`_(`coeff`_(w,1))*s^10

See Also

• det determinant
• detr polynomial determinant
• coffg inverse of polynomial matrix