BEGIN:VCALENDAR
VERSION:2.0
PRODID:Linklings LLC
BEGIN:VTIMEZONE
TZID:America/Chicago
X-LIC-LOCATION:America/Chicago
BEGIN:DAYLIGHT
TZOFFSETFROM:-0600
TZOFFSETTO:-0500
TZNAME:CDT
DTSTART:19700308T020000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=2SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0500
TZOFFSETTO:-0600
TZNAME:CST
DTSTART:19701101T020000
RRULE:FREQ=YEARLY;BYMONTH=11;BYDAY=1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTAMP:20230124T171521Z
LOCATION:C146
DTSTART;TZID=America/Chicago:20221113T144000
DTEND;TZID=America/Chicago:20221113T150500
UID:submissions.supercomputing.org_SC22_sess424_ws_scalah107@linklings.com
SUMMARY:Mixed-Precision Algorithm for Finding Selected Eigenvalues and Eig
envectors of Symmetric and Hermitian Matrices
DESCRIPTION:Workshop\n\nMixed-Precision Algorithm for Finding Selected Eig
envalues and Eigenvectors of Symmetric and Hermitian Matrices\n\nTsai, Lus
zczek, Dongarra\n\nThe multi-precision methods commonly follow approximate
-iterate scheme by first obtaining the approximate solution from a low-pre
cision factorization and solve. Then, they iteratively refine the solution
to the desired accuracy that is often as high as what is possible with tr
aditional approaches. While targeting symmetric/Hermitian eigenvalue probl
ems of the form Ax=(lambda)x, we revisited the SICE algorithm by applying
the Sherman-Morrison formula on the diagonally-shifted tridiagonal systems
, we propose an updated SICE-SM algorithm. We exploited asynchronous sched
uling techniques to take advantage of the new computational graph enabled
by the use of mixed-precision in the eigensolver. By incorporating the lat
est two-stage algorithms from the PLASMA and MAGMA software libraries for
numerical linear algebra, we achieved up to 3.6x speedup using the mixed-p
recision eigensolver with the blocked SICE-SM algorithm for iterative refi
nement when compared with full double complex precision solvers for the ca
ses with a portion of eigenvalues and eigenvectors requested.\n\nSession F
ormat: Recorded\n\nTag: Algorithms, Exascale Computing, Extreme Scale Comp
uting, Heterogeneous Systems, Post-Moore Computing, Quantum Computing\n\nR
egistration Category: Workshop Reg Pass
END:VEVENT
END:VCALENDAR