Parallel algorithm for householder transformation with applications to ill-conditioned problems
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A parallel algorithm for Householder Transformation is given in this paper. Based on the parallelizing of Householder Transformation, we propose the algorithms for solving ill-conditioned matrix inversion, ill-conditioned linear system and ill-conditioned least squares. The proposed methods have acceptable execution time and the number of employed processors even in handling ill-conditioned problems.
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
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