期刊论文详细信息
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 卷:158
Iterative methods for least-square problems based on proper splittings
Article; Proceedings Paper
Climent, JJ ; Perea, C
关键词: iterative method;    proper splitting;    multisplitting;    Moore-Penrose inverse;    least-square problem;   
DOI  :  10.1016/S0377-0427(03)00465-5
来源: Elsevier
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【 摘 要 】

For the linear-squares problems min, parallel tob - Axparallel to(2), where A is large and sparse, straightforward application of Cholesky or QR factorization will lead to catastrophic fill in factor R. We consider handling such problems by a iterative methods based on proper splittings. We establish the convergence, to the least-square solution y = Adaggerx, for the sequential two-stage iterative method and for the parallel stationary iterative method. (C) 2003 Elsevier B.V. All rights reserved.

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