Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/6102
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Title: Validated solutions of saddle point linear systems
Authors: Kimura, T
Chen, X 
Issue Date: 2009
Source: SIAM journal on matrix analysis and applications, 2009, v. 30, no. 4, p. 1697–1708
Abstract: We propose a fast verification method for saddle point linear systems where the (1,1) block is singular. The proposed verification method is based on an algebraic analysis of a block diagonal preconditioner and rounding mode controlled computations. Numerical comparison of several verification methods with various block diagonal preconditioners is given.
Keywords: Saddle point matrix
Numerical verification
Block preconditioning
Publisher: Society for Industrial and Applied Mathematics
Journal: SIAM journal on matrix analysis and applications 
ISSN: 0895-4798
EISSN: 1095-7162
DOI: 10.1137/070706441
Rights: © 2009 Society for Industrial and Applied Mathematics
Appears in Collections:Journal/Magazine Article

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