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DTSTART:19700308T020000
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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
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