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Volume 21, Issue 2
A Note on the Backward Errors for Inverse Eigenvalue Problems

Xinguo Liu & Zhengjian Bai

J. Comp. Math., 21 (2003), pp. 201-206.

Published online: 2003-04

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  • 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.

  • Keywords

Inverse eigenvalue problem, Optimal backward error, Upper bound, Lower bound.

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COPYRIGHT: © Global Science Press

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@Article{JCM-21-201, author = {Xinguo Liu and Zhengjian Bai}, title = {A Note on the Backward Errors for Inverse Eigenvalue Problems}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {2}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10274.html} }
TY - JOUR T1 - A Note on the Backward Errors for Inverse Eigenvalue Problems AU - Xinguo Liu & Zhengjian Bai JO - Journal of Computational Mathematics VL - 2 SP - 201 EP - 206 PY - 2003 DA - 2003/04 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10274.html KW - Inverse eigenvalue problem, Optimal backward error, Upper bound, Lower bound. AB -

 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.

Xinguo Liu and Zhengjian Bai. (2003). A Note on the Backward Errors for Inverse Eigenvalue Problems. Journal of Computational Mathematics. 21 (2). 201-206. doi:
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