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SUMMARY:Randomization techniques for large scale linear algebra
DTSTART:20220428T161500
DTEND:20220428T171500
DTSTAMP:20260407T043915Z
UID:59496d8a8a35327ae1e4583ca3ecea9579a0ca1e7c1e8a1b1d33a166
CATEGORIES:Conferences - Seminars
DESCRIPTION:Laura Grigori\, Director of Research INRIA\nThis talk will dis
 cuss several recent advances in using randomization and communication avoi
 ding techniques for solving large scale linear algebra operations. It will
  focus in particular on solving linear systems of equations\, eigenvalue p
 roblems\, and computing the low rank approximation of a large matrix. In t
 he context of linear systems of equations\, we discuss a randomized Gram-S
 chmidt process and show that it is efficient as classical Gram-Schmidt and
  numerically stable as modified Gram-Schmidt.  We exploit the usage of mi
 xed precision in this context and discuss its usage in linear solvers. We 
 then discuss a block orthogonalization method and its usage for solving ei
 genvalue problems. We also address the problem of preconditioning. The usa
 ge of these methods in challening application is further discussed.\n 
LOCATION:CM 1 4 https://plan.epfl.ch/?room==CM%201%204
STATUS:CONFIRMED
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