Release date: 11/21/19.
This material is based upon work supported by the National Science Foundation and the Department of Energy under Grant No. NSF ACI 1339797, 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..
LAPACK QR-preconditioned QR SVD method for computing the SVD with high accuracy by Zlatko Drmac
NEW: xGESVDQ routines
See Zlatko Drmac, Algorithm 977: A QR-Preconditioned QR SVD Method for Computing the SVD with High Accuracy. ACM Trans. Math. Softw. 44(1): 11:1-11:30 (2017)
NEW: cunhr_col.f NEW: dorhr_col.f NEW: sorhr_col.f NEW: zunhr_col.f
DORHR_COL takes an M-by-N real matrix Q_in with orthonormal columns as input, stored in A, and performs Householder Reconstruction (HR), i.e. reconstructs Householder vectors V(i) implicitly representing another M-by-N matrix Q_out, with the property that Q_in = Q_out*S, where S is an N-by-N diagonal matrix with diagonal entries equal to +1 or -1. The Householder vectors (columns V(i) of V) are stored in A on output, and the diagonal entries of S are stored in D. Block reflectors are also returned in T (same output format as DGEQRT).
NEW: CUNGTSQR.f NEW: DORGTSQR.f NEW: SORGTSQR.f NEW: ZUNGTSQR.f
DORTSQR reconstructs a matrix with orthonormal columns from the output of DLATSQR.
Contributors: Igor Kozachenko and Jim Demmel
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Zlatko Drmac, University of Zagreb
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Julie Langou (University of Tennessee, USA)
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Igor Kozachenko (University of California, Berkeley, USA)
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Jim Demmel (University of California, Berkeley, USA)
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Jack Dongarra (University of Tennessee and ORNL, USA)
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Julien Langou (University of Colorado Denver, USA)
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Thanks
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* MathWorks: Penny Anderson, Amanda Barry, Mary Ann Freeman, Bobby Cheng, Duncan Po, Pat Quillen, Christine Tobler. * Intel: Eugene Chereshnev * GitHub Users: Andreas Noack, Isuru Fernando, Kirana Bergstrom, Kyle Guinn Martin Kroeker, Nick Papior, Rao Garimella, Reinhold Gschweicher.Sébastien Villemo guozhong.zhuang 5. Bug Fix ----------- * link:https://github.com/Reference-LAPACK/lapack/milestone/1?closed=1[Closed bugs] * link:https://github.com/Reference-LAPACK/lapack/issues?utf8=✓&q=is%3Aissue%20is%3Aopen%20label%3A%22Type%3A%20Bug%22%20[Open bugs] * link:https://github.com/Reference-LAPACK/lapack/issues[All open issues] // vim: set syntax=asciidoc: