TY - JOUR
T1 - Orthogonal Projections and the Perturbation of the Eigenvalues of Singular Pencils
AU - Ji-Guang Sun
JO - Journal of Computational Mathematics
VL - 1
SP - 63
EP - 74
PY - 1983
DA - 1983/01
SN - 1
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9682.html
KW - 
AB - <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>