@Article{JCM-1-1,
author = {},
title = {Orthogonal Projections and the Perturbation of the Eigenvalues of Singular Pencils},
journal = {Journal of Computational Mathematics},
year = {1983},
volume = {1},
number = {1},
pages = {63--74},
abstract = {<p style="text-align: justify;">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 $\mathcal{R} \Bigg( \begin{matrix} A^H \\ B^H&nbsp; \end{matrix} \Bigg)$.</p>},
issn = {1991-7139},
doi = {https://doi.org/1983-JCM-9682},
url = {https://global-sci.com/article/86303/orthogonal-projections-and-the-perturbation-of-the-eigenvalues-of-singular-pencils}
}