Fast algorithms for the integral equations of the inverse scattering problem

B. D.O. Anderson; T. Kailath

doi:10.1007/BF01682743

Fast algorithms for the integral equations of the inverse scattering problem

B. D.O. Anderson^*
, T. Kailath

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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.

Original language	English
Pages (from-to)	132-136
Number of pages	5
Journal	Integral Equations and Operator Theory
Volume	1
Issue number	1
DOIs	https://doi.org/10.1007/BF01682743
Publication status	Published - Mar 1978
Externally published	Yes

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title = "Fast algorithms for the integral equations of the inverse scattering problem",

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.",

author = "Anderson, \{B. D.O.\} and T. Kailath",

year = "1978",

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AB - 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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DO - 10.1007/BF01682743

M3 - Article

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JF - Integral Equations and Operator Theory

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Fast algorithms for the integral equations of the inverse scattering problem

Abstract

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