Year: 1983
Journal of Computational Mathematics, Vol. 1 (1983), Iss. 1 : pp. 63–74
Abstract
In this paper we obtain a Hoffman-Wielandt type theorem and a Bauer-Fike type theorem for singular pencils of matrics. These results delineate the relations between the perturbation of the eigenvalues of a singular diagonalizable pencil $A-λB$ and the variation of the orthogonal projection onto the column space $\mathcal{R} \Bigg( \begin{matrix} A^H \\ B^H \end{matrix} \Bigg)$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1983-JCM-9682
Journal of Computational Mathematics, Vol. 1 (1983), Iss. 1 : pp. 63–74
Published online: 1983-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12