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authorjulie <julielangou@users.noreply.github.com>2014-10-07 04:21:49 +0000
committerjulie <julielangou@users.noreply.github.com>2014-10-07 04:21:49 +0000
commitf04a5811b7233661a393718717041a5ba2384864 (patch)
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parentbbe0f64dbb8a9fd1996294011a86338d89696ab8 (diff)
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Commit fix from Osni Marquez for Bug 115 reported from Duncan Po (Mathworks)
Description of bug http://icl.utk.edu/lapack-forum/viewtopic.php?f=13&t=4391, It turns out to be related to bug http://icl.cs.utk.edu/lapack-forum/viewtopic.php?f=5&t=4498 as well. Further, I suspect that the problem reported in an e-mail sent by Justin Weiguang Si to lapack@cs.utk.edu on Sep 22 is also related to those, although Justin has not yet replied to my request for the offending matrix... The bug has been traced to [d/s]laed6, which computes the root closest to the origin of a secular equation and is used in the D&C tridiagonal eigensolver (DSTEDC) and D&C least squares solver (DGELSD). We have interacted with Ren-Cang Li (the original developer of [d/s]laed6) about possible fixes, and I am attaching a new version of [d/s]laed6. This version has been tested with our 'torture cases' (more on this below) in: - single and double precision - Intel Xeon Westmere with gnu (gfortran) and intel (ifort) compilers - AMD MagnyCours with pgi, cray, intel and gnu compilers The bug was related to a too stringent tolerance convergence criterion, line 390 in laed6. The fix is 390 IF( ( ABS( F ).LE.FOUR*EPS*ERRETM ) .OR. 391 $ ( (UBD-LBD).LE.FOUR*EPS*ABS(TAU) ) ) to replace 390 IF( ABS( F ).LE.EPS*ERRETM ) corrected bugs: 115 and 121
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