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Mathematics of Computation

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On existence criteria and approximation procedures for integral equations of the first kind

Author: C. W. Groetsch
Journal: Math. Comp. 29 (1975), 1105-1108
MSC: Primary 45L05; Secondary 65R05, 47A50
MathSciNet review: 0412757
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Abstract: The existence of solutions of Fredholm integral equations of the first kind is characterized in terms of the convergence properties of a general approximation procedure based on a spectral analysis of the integral operator. Applications are given to some iterative and regularization methods. In particular, some results of Diaz and Metcalf are generalized.

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Keywords: Integral equations of first kind, compact operator, existence criteria, iterative procedures, regularization
Article copyright: © Copyright 1975 American Mathematical Society

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