A nonlinear inverse scattering problem arising in microwave imaging is analyzed and numerically solved. From a theoretical point of view, the model gives rise to a nonlinear integral equation, which is solved by a deterministic and regularizing inexact Gauss-Newton method. At any step of the method, matrix strategies of numerical linear algebra are considered in order to reduce the computational (time and memory) load for solving the obtained large and structured linear systems. These strategies involve block decompositions, splitting and regularization, and superresolution techniques.
Numerical linear algebra for nonlinear microwave imaging
DI BENEDETTO, FABIO;ESTATICO, CLAUDIO;PASTORINO, MATTEO
2008-01-01
Abstract
A nonlinear inverse scattering problem arising in microwave imaging is analyzed and numerically solved. From a theoretical point of view, the model gives rise to a nonlinear integral equation, which is solved by a deterministic and regularizing inexact Gauss-Newton method. At any step of the method, matrix strategies of numerical linear algebra are considered in order to reduce the computational (time and memory) load for solving the obtained large and structured linear systems. These strategies involve block decompositions, splitting and regularization, and superresolution techniques.
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