Dynamical Systems Gradient Method for Solving Ill-Conditioned Linear Algebraic Systems |
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Authors: | N S Hoang A G Ramm |
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Institution: | 1.Mathematics Department,Kansas State University,Manhattan,USA |
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Abstract: | A version of the Dynamical Systems Method (DSM) for solving ill-conditioned linear algebraic systems is studied in this paper.
An a priori and a posteriori stopping rules are justified. An algorithm for computing the solution using a spectral decomposition of the left-hand side
matrix is proposed. Numerical results show that when a spectral decomposition of the left-hand side matrix is available or
not computationally expensive to obtain the new method can be considered as an alternative to the Variational Regularization. |
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Keywords: | |
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