Symmetric block-SOR methods for rank-deficient least squares problems |
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Authors: | M.T. Darvishi F. Khani S. Hamedi-Nezhad B. Zheng |
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Affiliation: | 1. Department of Mathematics, Razi University, Kermanshah 67149, Iran;2. Department of Mathematics, Ilam University, P.O. Box 69315516, Ilam, Iran;3. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, PR China |
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Abstract: | In this article, we develop symmetric block successive overrelaxation (S-block-SOR) methods for finding the solution of the rank-deficient least squares problems. We propose an S2-block-SOR and an S3-block-SOR method for solving such problems and the convergence of these two methods is studied. The comparisons between the S2-block and the S3-block methods are presented with some numerical examples. |
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Keywords: | 65F10 |
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