Release date: 06/16.
This material is based upon work supported by the National Science Foundation and the Department of Energy under Grant No. NSF-OCI-1032861, NSF-CCF-00444486, NSF-CNS 0325873, NSF-EIA 0122599, NSF-ACI-0090127, DOE-DE-FC02-01ER25478, DOE-DE-FC02-06ER25768.
LAPACK is a software package provided by Univ. of Tennessee, Univ. of California, Berkeley, Univ. of Colorado Denver and NAG Ltd..
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[Mark Gates, UTK] blocked back-transformation for the non-symmetric eigenvalue problem
It blocks NB gemv calls into one gemm call inside trevc. To do that, it needs a new routine, trevc3, because unfortunately the lwork was not passed into trevc. Attached is the performance speedup for dgeev. It gives a nice 1.5x speedup for N=20000, and that appears to still be increasing with N. This is not the improvements that Greg Henry recently provided for doing the triangular solves as BLAS-3 instead of BLAS-1. That will take a while to process, but we expect another, even larger increase in performance when those changes are applied. This also does not include doing multiple (BLAS-1) triangular solves in parallel, which is available in MAGMA, since that requires OpenMP or pthreads.
Added:
SRC/strevc3.f
SRC/dtrevc3.f
SRC/ctrevc3.f
SRC/ztrevc3.f
Modified:
SRC/sgeev.f
SRC/dgeev.f
SRC/cgeev.f
SRC/zgeev.f
SRC/sgeevx.f
SRC/dgeevx.f
SRC/cgeevx.f
SRC/zgeevx.f
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Edward Smyth (NAG): r1683, r1684
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Tim Hopkins (University of Kent): r1734, r1735, r1764, r1765, r1766, r1764, r1765, r1766
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Eugene Chereshnev (Intel): r1670, r1737, r1759, r1760, r1761, r1762, r1763
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Dmitry Baksheev (Intel): r1686, r1687, r1689-r1730
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Alex Zotkevich (Intel): r1755, r1756, r1757, r1758
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Nathan Whitehead: r1740, r1742, r1744
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Lawrence Mulholland (NAG): r1649, r1654, r1655, r1656, r1688, r1746
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Orion Poplawski (NWRA): r1653, r1751, r1754
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Vladimir Chalupecky: r1752
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Pavel Holoborodko: r1648
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Julien Schueller: r1650, r1651, r1748, r1749
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Mathieu Faverge: r1658, r1662, r1663
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Martin Köhler Max Planck Institute for Dynamics of Complex Technical Systems): r1660
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Tracey Brendan: r1667, r1668
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Andreas Noack (MIT): 1669
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Berend Hasselman: r1671
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Sébastien Villemot: r1672, r1733
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Christoph Conrads: r1673
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Elena Ivanova (Oracle): r1674, r1675, r1676
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David Vowles: r1677, r1679
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Viswanathan Elumalai (University of Pittsburgh): r1681
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Mark Gates: r1739, r1750
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nathanw: r1740
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Nathan Whitehead: r1742, r1744
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Developer list
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.Principal Investigators
* Jim Demmel (University of California, Berkeley, USA)
* Jack Dongarra (University of Tennessee and ORNL, USA)
* Julien Langou (University of Colorado Denver, USA)
.LAPACK developers involved in this release
* Julie Langou (University of Tennessee, USA)
* Osni Marques (University of California, Berkeley, USA)
* Lawrence Mulholland (NAG Ltd.)
* Mark Gates (University of Tennessee, USA)
* Igor Kozachenko (University of California, Berkeley, USA)
6. More details
----------------
7. Bug Fix
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link:errata_from_360_to_361.html[see here]
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