Article ID Journal Published Year Pages File Type
9506849 Applied Mathematics and Computation 2005 13 Pages PDF
Abstract
We discuss the backward error analysis of the Hermite eigenproblems. Three kinds of problems are included: generalized eigenproblem, matrix polynomial eigenproblem, and multiparameter eigenproblem. In the case of the approximate eigenvalue being real, these problems have already been solved by Higham and Higham [SIAM J. Matrix Anal. 20 (1998) 493], Tisseur [Lin. Alg. Appl. 309 (2002) 339], and Hachstenbach and Plestenjak [Lin. Alg. Appl. 375 (2003) 63]. This note as a complement of their results considers the complex case.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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