Error bounds for computed eigenvalues and eigenvectors |
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Authors: | Tetsuro Yamamoto |
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Affiliation: | (1) Department of Mathematics, Faculty of Science, Ehime University, Matsuyama 790, Japan |
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Abstract: | Summary On the basis of an existence theorem for solutions of nonlinear systems, a method is given for finding rigorous error bounds for computed eigenvalues and eigenvectors of real matrices. It does not require the usual assumption that the true eigenvectors span the whole space. Further, a priori error estimates for eigenpairs corrected by an iterative method are given. Finally the results are illustrated with numerical examples.Dedicated to Professor Yoshikazu Nakai on his sixtieth birthday |
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Keywords: | AMS(MOS): 65F15 65H10 |
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