Fast algorithms for the integral equations of the inverse scattering problem
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Anderson, B. D.O.
Kailath, T.
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Abstract
The Gelfand-Levitan and Marchenko equations of inverse scattering theory are integral equations with Toeplitz and Hankel kernels respectively. It is shown that these facts can be used to reduce the integral equations to differential equations which can be solved with an order of magnitude less computation than generally envisaged.
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Integral Equations and Operator Theory
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