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Parallel Algorithms and Condition Estimators for Standard and Generalized Triangular Sylvester-Type Matrix Equations
Umeå University, Faculty of Science and Technology, Department of Computing Science. Umeå University, Faculty of Science and Technology, HPC2N (High Performance Computing Centre North).
Umeå University, Faculty of Science and Technology, Department of Computing Science. Umeå University, Faculty of Science and Technology, HPC2N (High Performance Computing Centre North).
2006 (English)In: Applied Parallel Computing - State of the Art in Scientific Computing: 7th International Workshop, PARA 2004, Springer , 2006, 127-136 p.Conference paper, Published paper (Refereed)
Abstract [en]

We discuss parallel algorithms for solving eight common standard and generalized triangular Sylvester-type matrix equation. Our parallel algorithms are based on explicit blocking, 2D block-cyclic data distribution of the matrices and wavefront-like traversal of the right hand side matrices while solving small-sized matrix equations at different nodes and updating the rest of the right hand side using level 3 operations. We apply the triangular solvers in condition estimation, developing parallel sep(-1)-estimators. Some experimental results are presented.

Place, publisher, year, edition, pages
Springer , 2006. 127-136 p.
Series
Lecture Notes in Computer Science, LNCS 3732
Identifiers
URN: urn:nbn:se:umu:diva-23267OAI: oai:DiVA.org:umu-23267DiVA: diva2:222522
Available from: 2009-06-09 Created: 2009-06-09 Last updated: 2009-09-17

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CiteExportLink to record
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