Abstract
In this paper, we deal with a class of numerical procedures which consist of two steps. First one solves an ill-conditioned linear system Гc=g for giveng and then one obtains the final resultf byf=Λc. One may use the method of regularization to stabilize the ill-conditioned linear system. However, the method is not always effective for the class of the procedures. We may have even worse result by using the regularization. We propose a handy method to examine the effectiveness of the regularization.
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Kitagawa, T. On the effectiveness of the method of regularization in numerical procedures for III-conditioned linear systems. Japan J. Appl. Math. 5, 305–311 (1988). https://doi.org/10.1007/BF03167876
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DOI: https://doi.org/10.1007/BF03167876