Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9506440 | Applied Mathematics and Computation | 2005 | 19 Pages |
Abstract
Symmetric successive overrelaxation (SSOR) methods are developed for finding the least squares solution of minimal norm to the linear systemAx=b,where AâCmÃn is a matrix of rank r and bâCm. By first augmenting the system to a block 4Â ÃÂ 4 consistent system and then splitting the augmented coefficient matrix by subproper SSOR splittings, we obtain intervals for the relaxation parameter in which the subproper SSOR iteration matrix is semiconvergent and a solution for the augmented system. Subsequently, a method for transforming such a solution to the least squares solution of minimal 2-norm is presented.
Keywords
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Bing Zheng, Ke Wang,