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SUMMARY:Heather Wilber (University of Texas at Austin)
DTSTART:20220607T130000Z
DTEND:20220607T140000Z
DTSTAMP:20260422T201549Z
UID:CAvid/78
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAvid/78/">L
 ow rank numerical methods via rational function approximation</a>\nby Heat
 her Wilber (University of Texas at Austin) as part of CAvid: Complex Analy
 sis video seminar\n\nLecture held in N/A.\n\nAbstract\nIn this talk\, we a
 pply classical ideas in approximation theory to design low rank numerical 
 methods for a range of applications in scientific computing\, including th
 e solving of certain linear systems\, matrix equations\, and partial diffe
 rential equations. The primary workhorse in our approach and analysis is t
 he alternating direction implicit (ADI) method\, and we explore how this s
 pecial splitting algorithm is linked to a wealth of concepts from applied 
 mathematics\, including Laplace’s equation and conformal maps for doubly
 -connected regions\, matrix and operator function evaluation\, digital fil
 ter design\, and the low rank properties of matrices with special displace
 ment structures.\n
LOCATION:https://researchseminars.org/talk/CAvid/78/
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