Lippmann–Schwinger–Lanczos algorithm for inverse scattering problems

Overview of attention for article published in Inverse Problems, June 2021

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This https://t.co/j3hK4JBjNs has been replaced. Links: https://t.co/S3PUEt0V9H https://t.co/28CCjQdDh3 https://t.co/n9uiX9EAbZ https://t.co/3RpXXJrvD7

numerical experiments for spectral domain domain data for which our inversion is far superior to the Born inversion and works as well as when the true internal solution is known. [3/3 of https://t.co/tTyRfRFd8l]

orthogonalization. Embedding into the continuous problem, a data-driven internal solution is produced. This internal solution is then used in the Lippmann-Schwinger equation, thus making further iterative updates unnecessary. We show [2/3 of https://t.c…

Data-driven reduced order models (ROMs) are combined 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 [1/3 of https://t.co/tTyRfRnBJL]

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