An algorithm for estimating the optimal regularization parameter by the L-curve
Copyright policy )An algorithm for estimating the optimal regularization parameter by the L-curve
Summary: We introduce a new algorithm to estimate the optimal regularization parameter in truncated singular value decomposition regularization methods for the numerical solution of severely ill-posed linear systems. The algorithm couples a geometrical approach to identify the corner of the \(L\)-curve associated to the problem with some heuristic rules. Numerical results are reported to highlight the performance of the algorithm with respect to other methods for the selection of the regularization parameter.
- University of Cagliari Italy
l-curve, Numerical solutions to overdetermined systems, pseudoinverses, algorithm, regularization, Ill-posedness and regularization problems in numerical linear algebra, ill-conditioned linear systems, \(L\)-curve, QA1-939, Numerical results, truncated singular value decomposition, ill-conditioned linear system, Mathematics, performance, truncated singular value decomposition (tsvd)
l-curve, Numerical solutions to overdetermined systems, pseudoinverses, algorithm, regularization, Ill-posedness and regularization problems in numerical linear algebra, ill-conditioned linear systems, \(L\)-curve, QA1-939, Numerical results, truncated singular value decomposition, ill-conditioned linear system, Mathematics, performance, truncated singular value decomposition (tsvd)
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