On general row merging schemes for sparse given transformations
SIAM Journal on Scientific and Statistical Computing
Parallel solution of triangular systems on distributed-memory multiprocessors
SIAM Journal on Scientific and Statistical Computing
A new method for solving triangular systems on distributed-memory message-passing multiprocessors
SIAM Journal on Scientific and Statistical Computing
Sparse Multifrontal Rank Revealing QR Factorization
SIAM Journal on Matrix Analysis and Applications
Computing rank-revealing QR factorizations of dense matrices
ACM Transactions on Mathematical Software (TOMS)
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Applying recursion to serial and parallel QR factorization leads to better performance
IBM Journal of Research and Development
Communication-optimal Parallel and Sequential QR and LU Factorizations
SIAM Journal on Scientific Computing
Hierarchical QR factorization algorithms for multi-core clusters
Parallel Computing
Hi-index | 0.00 |
We present a new algorithm to compute the QR factorization of a matrix Am脳n intended for use when m 驴 n. The algorithm uses a reduction strategy to perform the factorization which in turn allows a good degree of parallelism. It is then integrated into a parallel implementation of the QR factorization with column pivoting algorithm due to Golub and Van Loan, which allows the determination of the rank of A. The algorithms were coded in FORTRAN 90 using the MPI library. Results are presented for several different problem sizes on an IBM 9076 SP/2 parallel computer.