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UID:submissions.supercomputing.org_SC22_sess275_rpost184@linklings.com
SUMMARY:New Accelerated Mixed-Precision Parallel Algorithms for Hermitian 
 Eigenvalue Problem
DESCRIPTION:Posters, Research Posters\n\nNew Accelerated Mixed-Precision P
 arallel Algorithms for Hermitian Eigenvalue Problem\n\nTsai, Luszczek, Don
 garra\n\nThe multi-precision methods commonly follow approximate-iterate s
 cheme by first obtaining the approximate solution from a low-precision fac
 torization and solve.  Then, they iteratively refine the solution to the d
 esired accuracy that is often as high as what is possible with traditional
  approaches.  While targeting symmetric/Hermitian eigenvalue problems of t
 he form Ax=(lambda)x, we revisited the SICE algorithm by applying the Sher
 man-Morrison formula on the diagonally-shifted tridiagonal systems, we pro
 pose an updated SICE-SM algorithm.  We exploited asynchronous scheduling t
 echniques to take advantage of the new computational graph enabled by the 
 use of mixed-precision in the eigensolver. By incorporating the latest two
 -stage algorithms from the PLASMA and MAGMA software libraries for numeric
 al linear algebra, we achieved up to 3.6x speedup using the mixed-precisio
 n eigensolver with the blocked SICE-SM algorithm for iterative refinement 
 when compared with full double complex precision solvers for the cases wit
 h a portion of eigenvalues and eigenvectors requested.\n\nRegistration Cat
 egory: Tech Program Reg Pass, Exhibits Reg Pass
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