Realistic a Priori and a Posteriori Error Bounds for Computed Eigenvalues |
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Authors: | DEIF A S |
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Institution: |
King Saud University Riyadh 11451, Saudi Arabia
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Abstract: | Permanent address: Department of Engineering Mathematics, Cairo University, Giza, Egypt. A priori and a posteriori error bounds are given for the computedeigenpair ( , ) of the eigenvalue problem Ax = x, which are shownto be more realistic than some of the available ones. A simplemethod is also presented for computing the backward error. Finallya scaling procedure is explained for reducing the residual error. |
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