Mathematics – Numerical Analysis
Scientific paper
2010-02-23
Mathematics
Numerical Analysis
Scientific paper
A QR factorization of a tall and skinny matrix with n columns can be represented as a reduction. The operation used along the reduction tree has in input two n-by-n upper triangular matrices and in output an n-by-n upper triangular matrix which is defined as the R factor of the two input matrices stacked the one on top of the other. This operation is binary, associative, and commutative. We can therefore leverage the MPI library capabilities by using user-defined MPI operations and MPI_Reduce to perform this reduction. The resulting code is compact and portable. In this context, the user relies on the MPI library to select a reduction tree appropriate for the underlying architecture.
No associations
LandOfFree
Computing the R of the QR factorization of tall and skinny matrices using MPI_Reduce does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Computing the R of the QR factorization of tall and skinny matrices using MPI_Reduce, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Computing the R of the QR factorization of tall and skinny matrices using MPI_Reduce will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-169543