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A regularizing L-curve Lanczos method for underdetermined linear systems

Applied Mathematics and Computation, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Morigi S., Sgallari F.
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Thermal wave probing: polynomial and regularized solutions with L-curve

2006 IEEE Conference on Electrical Insulation and Dielectric Phenomena, 2006
In this paper we describe the polynomial and regularized discrete solutions of the thermal wave probing problem found in the investigation of polarization and space charge in dielectrics. We demonstrate that approximate low order polynomial solutions can be obtained in the presence of noise and without regularization. We also demonstrate a more general
T. Pawlowski, R.J. Fleming
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Non-convergence of the L-curve regularization parameter selection method

Inverse Problems, 1996
Although the \(L\)-curve method for selecting the regularization parameter in algorithms for solving discrete ill-posed problems has been used with satisfactory results in a number of applications, several recent papers have called attention to the method's theoretical shortcomings.
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Limitations of the L-curve method in ill-posed problems

BIT Numerical Mathematics, 1996
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A METHOD FOR THE CALCULATION OF THE CB(L) CURVE

Journal of the Textile Institute Proceedings, 1955
(1955). A METHOD FOR THE CALCULATION OF THE CB(L) CURVE. Journal of the Textile Institute Proceedings: Vol. 46, No. 12, pp. P794-P798.
C. J. van Zwet, D. R. Cox
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The triangle method for finding the corner of the L-curve

Applied Numerical Mathematics, 2002
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Castellanos, J. Longina   +2 more
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Lanczos algorithm based L-curve and curvature in image resolution enhancement

2009 9th International Conference on Electronic Measurement & Instruments, 2009
In this paper, we propose the application of the L-curve and curvature to the super resolution image restoration problem. L-curve criterion is used to estimate regularization parameters. However, the computational of the L-curve is quiet costly for large size problems. The Lanczos algorithm and Gauss quadrature are used to reduce the computational cost.
Kai Xie, Likun Lu
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H–L curve: A novel 2D graphical representation for DNA sequences

Chemical Physics Letters, 2008
By assigning to four kinds of basic nucleotide A, T, G and C, respectively, four different two-component vectors, in which the first elements are constant (equal to 1) and the second elements are different from each other, we presented a 2D graphical representation of DNA primary sequences, which is mathematically proven to be not any circuit and ...
Guohua Huang   +3 more
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Numerical Aspects in Locating the Corner of the L-curve

2001
The L-curve method can be used to choose the regularization parameter, when discrete ill-posed problems are solved by a regularization method. In this paper, we propose a novel numerical algorithm for locating the corner of the L-curve when only a finite set of its points is known. The proposed technique is based on conic section fitting.
Valia Guerra, Victoria Hernández
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L-curve approach in cross-hole and VSP geophysical diffraction tomography

9th International Congress of the Brazilian Geophysical Society & EXPOGEF, Salvador, Bahia, Brazil, 11-14 September 2005, 2005
Since the inverse problem is ill-posed it is necessary to use some tool to reduce this deficiency. The tool that we choose is the regularization by derivative matrices. The L-curve was reintroduced in the literature of inverse problems by Hansen, and, in this work we use the L-curve for the selection of regularization factor in cross hole and VSP ...
Eduardo Telmo Fonseca Santos   +1 more
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