Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
Optimal regularization for ill-posed problems by means of L-curve
YOHSUKE HOSODATAKASHI KITAGAWA
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1992 Volume 2 Issue 1 Pages 55-67

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Abstract
In this paper we propose a new method to estimate the optimal regularization parameter. It is observed numerically that the corner of L-curve which is proposed by P.C. Hansen gives a clue for the selection of the parameter [6]. We introduce a function which represents the curvature of the L-curve whose maximizer gives a good estimation of the parameter.
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© 1992 The Japan Society for Industrial and Applied Mathematics
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