Recent content by bakav
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Graduate Derivative of determinant wrt matrix
thanks dude appreciate it. Can you guide me that how you got, in your derivation, from = exp(tr(log(A+O'XO))) dXtr(log(A+O'XO) = det(A+O'XO) tr(dXlog(A+O'XO)) = det(A+O'XO) tr((A+O'XO)-1dX(A+O'XO)) = det(A+O'XO) O(A+O'XO)-1O' My question addresses how did you bring in the partial derivative dX...- bakav
- Post #4
- Forum: Linear and Abstract Algebra
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Graduate Solution to a linear equation of matrices
Thank you man. That was a good help. I'm just concerned about the derivation with respect to G. Actually, in my formulation inv(G) is a symmetric matrix do you think that the derivation will change in this case?- bakav
- Post #5
- Forum: Linear and Abstract Algebra
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Graduate Solution to a linear equation of matrices
Thanks man. Actually I'm just trying to maximize the marginal likelihood function by setting the first derivative to zero. The log of the marginal likelihood is (I'm just writing down the terms containing the parameter that should be estimated): -ln(det(A+O'inv(G)O))+ln(det(inv(G))+f'*inv(G)*f...- bakav
- Post #3
- Forum: Linear and Abstract Algebra
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Graduate Solution to a linear equation of matrices
Hi, How can I solve the equation below for M. G*inv(A+G'*inv(M)*G)*G'+F+M=0 G' is the transpose of G and inv(.) is the inverse of a matrix. Thanks- bakav
- Thread
- Linear Linear equation Matrices
- Replies: 5
- Forum: Linear and Abstract Algebra
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Graduate Derivative of determinant wrt matrix
Thanks man I also tried to use the general formula as: d(det(Y))/dX=dtr(QY)/dX where Q is the det(Y)inv(Y) and apparently Y is a function of X. I got the same derivation as you did. Thanks a lot for your great help.- bakav
- Post #3
- Forum: Linear and Abstract Algebra
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Graduate Derivative of determinant wrt matrix
Hi there, I want to derive the derivative of the det(A+O'XO) with respect to X, where A, O', O and X are all matrix. Any suggestions, Thanks Baska- bakav
- Thread
- Derivative Determinant Matrix
- Replies: 3
- Forum: Linear and Abstract Algebra