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Toeplitz Matrix Batch

Posted: Fri Jul 14, 2017 12:06 am
by Genji
I have to solve a batch of several (16000) equations AX=B where A is a Toeplitz Matrix . Which of the solvers in Magma is more suitable for a problem like this (apart from gesv that seems generic)?

(For anyone who might not know, a Toeplitz matrix is one comprised solely of diagonals)

Kind regards

Re: Toeplitz Matrix Batch

Posted: Thu Jul 20, 2017 10:48 am
by haidar
Dear user,
As of today we do not have any particular routine suitable for Toeplitz matrices and we would be happy and will help if you would like to contribute such routine into the Magma library.
However, I did not quite understand the batch
are you having one system of equation Ax=b meaning one matrix of size 16000x16000 or you have a batch of 16000 matrices that need to be solved?

Thank you very much

Re: Toeplitz Matrix Batch

Posted: Fri Jul 21, 2017 2:44 pm
by Genji
My specific problem is a batch of 16000 equations, all of which have the same A matrix, but different b matrices. Also its a symmetric, dense matrix.