topic Extract upper/lower triangular matrix of sparse (CSR) symmetric matrices in Intel® oneAPI Math Kernel Library

Extract upper/lower triangular matrix of sparse (CSR) symmetric matrices

enpex — Thu, 02 Feb 2012 09:57:52 GMT

Hello,

I am trying to use PARDISO to solve a sparse linear least-squares problem Ax=b, where A is a m-by-n matrix with m>n. Let's assume I already constructed A in CSR-format.

In order to solve that system using sparse solvers I learned that it is necessary to compute C=(A' A) and d=(A' b) and then solve Cx=d instead (see here). So, I compute C using mkl_?csrmultcsr.

The problem: since C is symmetric, PARDISO expects it to be an upper triangular matrix, which it is not after using mkl_?csrmultcsr. So, the matrix checker (iparm(26)=1) fails.

My question: Is there another function in the MKL which extracts the upper/lower triangular matrix of a whole matrix?

Thank you in advance for you time and suggestions,
Nils

Extract upper/lower triangular matrix of sparse (CSR) symmetric

Alexander_K_Intel2 — Thu, 02 Feb 2012 10:15:22 GMT

Hi,

From my point of view the best solution in this case is to set matrix C as unsymmetric and use full format of matrix C.

With best regards,

Alexander Kalinkin

Extract upper/lower triangular matrix of sparse (CSR) symmetric

enpex — Fri, 03 Feb 2012 11:30:48 GMT

Hi Alex,

Thanks for your answer. This is exactly how I am doing it at the moment. I just wondered if there exists another way. So, know I know - thanks!

Regards,
Nils