Year: 2003
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 2 : pp. 201–206
Abstract
In this note, we consider the backward errors for more general inverse eigenvalue problems by extending Sun's approach. The optimal backward errors are defined for diagonalization matrix inverse eigenvalue problem with respect to an approximate solution, and the upper and lower bounds are derived for the optimal backward errors. The results may be useful for testing the stability of practical algorithms.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2003-JCM-10274
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 2 : pp. 201–206
Published online: 2003-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 6
Keywords: Inverse eigenvalue problem Optimal backward error Upper bound Lower bound.