@Article{JCM-1-63, author = {Ji-Guang Sun}, 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 = {

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 $\mathcal{R} \Bigg( \begin{matrix} A^H \\ B^H  \end{matrix} \Bigg)$.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9682.html} }