Re: any fast algorithm to calculate the determinant of a matrix?

Solving the j-th column? are there more detailed clue of this?
Allen McIntosh 写道:

Yeah. Actually I only care about the several elements in the inverse
matrix. The first thing pop up in my mind is Cramer's Rule. It seems
it is too naive to carry on.
Are there better way to obtain these values without going through the
whole LUD?

Consider solving the jth column of the equation X*X^-1=I for suitable
value of j.