SOLVE MATLAB MANUAL

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SOLVE MATLAB MANUAL

This paper describes the underlying theory gives an overview of the package a complete manual is also available. For discrete ill-posed problems, which are indeed difficult to treat numerically, such an approach is certainly superior to a single black-box routine. By means of this package, the user can experiment with different regularization strategies, compare them, and draw conclusions from these experiments that would otherwise require a major programming effert.

The purpose of REGULARIZATION TOOLS is to provide the user with easy-to-use routines, based on numerical robust and efficient algorithms, for doing experiments with regularization of discrete ill-posed problems.

Some form of regularization is always required in order to compute a stabilized solution to discrete ill-posed problems. Such problems typically arise in connection with discretization of Fredholm integral equations of the first kind, and similar ill-posed problems. 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 properties that its condition number is very large, and its singular values decay gradually to zero.

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