A set of level 3 basic linear algebra subprograms
ACM Transactions on Mathematical Software (TOMS)
Modified Gram-Schmidt QR factorization on hypercube SIMD computers
Journal of Parallel and Distributed Computing
Stability analysis and improvement of the block Gram-Schmidt algorithm
SIAM Journal on Scientific and Statistical Computing
LAPACK Users' guide (third ed.)
LAPACK Users' guide (third ed.)
A unified co-processor architecture for matrix decomposition
Journal of Computer Science and Technology
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The modified Gram-Schmidt algorithm (MGS) is used in many fields of computational science as a basic part for problems which relate to Numerical Linear Algebra. In this paper we describe different parallel implementations (blocked and unblocked) of the MGS-algorithm and show how computation and calculation overlap can increase the performance up to 38 percent on the two different Clusters platforms which where used for performance evaluation.