When discrete ill-posed problems are analyzed and solved by various numerical regularization techniques, a very convenient way to display information about the regularized solution is to plot theâ€¦ (More)

The package REGULARIZATION TOOLS consists of 54 Matlab routines for analysis and solution of discrete ill-posed problems, i.e., systems of linear equations whose coefficient matrix has the propertiesâ€¦ (More)

Regularization algorithms are often used to produce reasonable solutions to ill-posed problems. The L-curve is a plot-for all valid regularization parameters-of the size of the regularized solutionâ€¦ (More)

This communication describes version 4.0 of Regularization Tools, a Matlab package for analysis and solution of discrete ill-posed problems. The new version allows for under-determined problems, andâ€¦ (More)

â€˜Iâ€™hc truncated singular value decomposition (SW) is considered as a method for rcgularization of ill-posed linear lcast squares pro&ins. In particular, the .truncatcd SVl> solution is compared wi thâ€¦ (More)

The L-curve is a log-log plot of the norm of a regularized solution versus the norm of the corresponding residual norm. It is a convenient graphical tool for displaying the trade-off between the sizeâ€¦ (More)

(Convergence analysis, stopping criteria, and good advice) Goal: use measured data to compute " hidden " information. The forward problem is formulated as a certain transform ï‚® formulate a stable wayâ€¦ (More)

Discretizations of inverse problems lead to systems of linear equations with a highly ill-conditioned coefficient matrix, and in order to compute stable solutions to these systems it is necessary toâ€¦ (More)