- #1
guerom00
- 93
- 0
Hello all :)
I have two square matrices whose elements are functions of a variable x, let's call them A(x) and B(x).
Those two matrices do not commute : A(x).B(x)≠B(x).A(x)
I then define the quantity Log det(1-A(x).B(x)) where 1 is the identity matrix.
I'm interested in a closed form for the integral of the above quantity wrt x i.e.
[tex]\int\,Log\,det(1-A(x).B(x))\,dx[/tex]
Do you think such a closed form exists ?
Thanks in advance :)
I have two square matrices whose elements are functions of a variable x, let's call them A(x) and B(x).
Those two matrices do not commute : A(x).B(x)≠B(x).A(x)
I then define the quantity Log det(1-A(x).B(x)) where 1 is the identity matrix.
I'm interested in a closed form for the integral of the above quantity wrt x i.e.
[tex]\int\,Log\,det(1-A(x).B(x))\,dx[/tex]
Do you think such a closed form exists ?
Thanks in advance :)