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UID:20260508T235254EDT-3494rjPDNa@132.216.98.100
DTSTAMP:20260509T035254Z
DESCRIPTION:Vladimir Druskin\nSchlumberger-Doll Research Center\nKrylov sub
 space approach (e.g.\, the conjugate gradients) is the\nmethod of choice f
 or the iterative solutions of large linear\nsystems of algebraic equations
 . In 1980's it emerged as an\nalgorithm for systems of linear differential
  equations arisen from\nthe semidiscretization of evolutionary PDEs. When 
 applicable it\nexhibits dramatic advantage compared to the conventional\nt
 ime-stepping methods. More recently the Krylov subspace projection\nbecame
  the main tool for the construction of reduced order models\nfor large sca
 le linear time-invariant dynamical systems. We will\nguide through main al
 gorithmic details and analysis of the\napproach\, then discuss its general
 izations such as the Rational\nKrylov Subspace Reduction and the Parameter
 -Dependent Krylov\nSubspace Reduction (a.k.a. interpolatory projection) an
 d also\nconnection to some classical results from the approximation theory
 .\nThe talk will be illustrated with numerical examples from\nelectromagne
 tic oil exploration.\n
DTSTART:20101122T210000Z
DTEND:20101122T220000Z
LOCATION:Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue Sherbrooke 
 Ouest
SUMMARY:Krylov subspace approximations of large linear time-invariant dynam
 ical systems
URL:https://www.mcgill.ca/channels/event/krylov-subspace-approximations-lar
 ge-linear-time-invariant-dynamical-systems-168422
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