Theory and Methods Related to the Singular-Function Expansion and Landweber's Iteration for Integral Equations of the First Kind

For the Fredholm integral equation of the first kind, written notationally as Kf = g, g ∈ L2 [ 0, 1 ], we study the behavior of the iteration $\hat{f}_k = \hat{f}_{k - 1} + DK^\ast(g - K \hat{f}_{k - 1}),\quad k = 1, 2, \cdots,$ both with respect to its convergence properties and its response to sin...

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Bibliographic Details

Published in:	SIAM journal on numerical analysis Vol. 11; no. 4; pp. 798 - 825
Main Author:	Strand, Otto Neall
Format:	Journal Article
Language:	English
Published:	Philadelphia Society for Industrial and Applied Mathematics 01.09.1974
Subjects:	Ambiguity Approximation Differential equations Eigenfunctions Error function Error rates Integral equations Iterative solutions Mathematics Methods Perceptron convergence procedure Polynomials
ISSN:	0036-1429, 1095-7170
Online Access:	Get full text
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