On componentwise condition numbers for eigenvalue problems with structured matrices |
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| Authors: | Huaian Diao |
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| Affiliation: | School of Mathematics and Statistics, Northeast Normal University, No. 5268 Renmin Street, Chang Chun 130024, Ji Lin Province, People's Republic of China |
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| Abstract: | We give explicit expressions for the componentwise condition number for eigenvalue problems with structured matrices. We will consider only linear structures and show a general result from which expressions for the condition numbers follow. We obtain explicit expressions for the following structures: Toeplitz and Hankel. Details for other linear structures should follow in a straightforward manner from our general result. Copyright © 2008 John Wiley & Sons, Ltd. |
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| Keywords: | condition number structured perturbation eigenvalue |
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