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A class of incomplete orthogonal factorization methods. II: Implementation and results

Abstract:

We present, implement and test several incomplete QR factorization methods based on Givens rotations for sparse square and rectangular matrices. For square systems, the approximate QR factors are used as right-preconditioners for GMRES, and their performance is compared to standard ILU techniques. For rectangular matrices corresponding to linear least-squares problems, the approximate R factor is used as a right-preconditioner for CGLS. A comprehensive discussion is given about the uses, adva...

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Publication status:
Published

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Publisher copy:
10.1007/s10543-005-2642-z

Authors


Papadopoulos, AT More by this author
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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
BIT NUMERICAL MATHEMATICS
Volume:
45
Issue:
1
Pages:
159-179
Publication date:
2005-03-05
DOI:
EISSN:
1572-9125
ISSN:
0006-3835
URN:
uuid:b1e7cae8-4b52-470d-94c9-417106ceadf8
Source identifiers:
188914
Local pid:
pubs:188914

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