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SUMMARY:The Lippmann Schwinger Lanczos algorithm for inverse scattering pr
 oblems - Shari Moskow (Drexel University)
DTSTART:20230628T140000Z
DTEND:20230628T160000Z
UID:TALK202747@talks.cam.ac.uk
DESCRIPTION:We combine data-driven reduced order models with the Lippmann-
 Schwinger integral equation to produce a direct nonlinear inversion method
 . The ROM is viewed as a Galerkin projection and is sparse due to Lanczos 
 orthogonalization. Embedding into the continuous problem\, we produce a da
 ta-driven internal solution. This internal solution is then used in the Li
 ppmann-Schwinger equation\, in a direct or iterative framework. The approa
 ch allows us to process more general transfer functions than the earlier v
 ersions of the ROM based inversion algorithms. &nbsp\;We give examples of 
 its use for spectral domain MIMO problems and in the time domain given mon
 ostatic data\, targeting synthetic aperture radar.&nbsp\;\n&nbsp\;\nAuthor
 s: Vladimir Druskin\, Shari Moskow\, Mikhail Zaslavsky\n&nbsp\;
LOCATION:Seminar Room 2\, Newton Institute
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