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SIAM Journal on Scientific and Statistical Computing - Papers from the Second Conference on Parallel Processing for Scientific Computin
A parallel algorithm for reducing symmetric banded matrices to tridiagonal form
SIAM Journal on Scientific Computing
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ACM Transactions on Mathematical Software (TOMS)
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SIAM Journal on Matrix Analysis and Applications
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SIAM Journal on Scientific Computing
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LAPACK Users' guide (third ed.)
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ACM Transactions on Mathematical Software (TOMS)
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ACM Transactions on Mathematical Software (TOMS)
A framework for symmetric band reduction
ACM Transactions on Mathematical Software (TOMS)
A framework for symmetric band reduction
ACM Transactions on Mathematical Software (TOMS)
Reduction to condensed forms for symmetric eigenvalue problems on multi-core architectures
PPAM'09 Proceedings of the 8th international conference on Parallel processing and applied mathematics: Part I
Proceedings of 2011 International Conference for High Performance Computing, Networking, Storage and Analysis
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Proceedings of the 17th ACM SIGPLAN symposium on Principles and Practice of Parallel Programming
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SIAM Journal on Scientific Computing
PPAM'11 Proceedings of the 9th international conference on Parallel Processing and Applied Mathematics - Volume Part I
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ACM Transactions on Mathematical Software (TOMS)
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ACM Transactions on Mathematical Software (TOMS)
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We present a software toolbox for symmetric band reduction via orthogonal transformations, together with a testing and timing program. The toolbox contains drivers and computational routines for the reduction of full symmetric matrices to banded form and the reduction of banded matrices to narrower banded or tridiagonal form, with optional accumulation of the orthogonal transformations, as well as repacking routines for storage rearrangement. The functionality and the calling sequences of the routines are described, with a detailed discussion of the “control” parameters that allow adaptation of the codes to particular machine and matrix characteristics. We also briefly describe the testing and timing program included in the toolbox.