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SUMMARY:Mark Embree (Virginia Tech)
DTSTART:20200617T140000Z
DTEND:20200617T150000Z
DTSTAMP:20260423T022929Z
UID:E-NLA/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/E-NLA/9/">Co
 ntour Integral Methods for Nonlinear Eigenvalue Problems: A Systems Theory
  Perspective</a>\nby Mark Embree (Virginia Tech) as part of E-NLA - Online
  seminar series on numerical linear algebra\n\n\nAbstract\nContour integra
 l methods for nonlinear eigenvalue problems seek to compute a subset of th
 e spectrum in a bounded region of the complex plane. We briefly survey thi
 s class of algorithms\, establishing a relationship to system realization 
 techniques in control theory. This connection motivates new contour integr
 al methods that build on recent developments in rational interpolation of 
 dynamical systems. The resulting techniques\, which replace the usual Hank
 el matrices with Loewner matrix pencils\,  incorporate general interpolati
 on schemes and permit ready recovery of eigenvectors.  Numerical examples 
 illustrate the potential of this approach.\n\nThis talk describes joint wo
 rk with Michael Brennan (MIT) and Serkan Gugercin (Virginia Tech).\n
LOCATION:https://researchseminars.org/talk/E-NLA/9/
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