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Sparse Matrix Computations over Small Fields: A Simpler Block Lanczos Algorithm and Its Analysis

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Author
Eberly, Wayne
Accessioned
2013-05-29T20:57:08Z
Available
2013-05-29T20:57:08Z
Issued
2013-05-29
Other
Algebraic algorithms, analysis of algotithms
Subject
Algorithms
Performance
Reliability
Type
technical report
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Abstract
A simpli ed \block Lanczos" algorithm is presented and its correctness established. While its e ciency in the general case is not proved, preconditioning used for similar algo- rithms is also su cient here. Results concerning reliability and e ciency may be of more general interest because they may serve to (somewhat) better explain the performance of other block algorithms, including block Wiedemann algo- rithms and algorithms that use rectangular blocking.
Refereed
No
Corporate
University of Calgary
Faculty
Science
Doi
http://dx.doi.org/10.11575/PRISM/30595
Uri
http://hdl.handle.net/1880/49494
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  • Science Research & Publications

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