@Article{JCM-9-4,
author = {Sun, Ji-Guang},
title = {Extensions of the Kantorovich Inequality and the Bauer-Fike Inequality},
journal = {Journal of Computational Mathematics},
year = {1991},
volume = {9},
number = {4},
pages = {360--368},
abstract = {<p style="text-align: justify;">This paper proves a Kantorovich-type inequality on the matrix of the type $\frac{1}{2}(Q^H_1 AQ_1 Q^H_1A^{-1} Q_1+Q^H_1A^{-1}Q_1Q^H_1AQ_1)$, where $A$ is an $n\times n$ positive definite Hermitian matrix and $Q_1$ is an $n\times m$ matrix with rank $(Q_1)=m$. The result is applied to get an extension of the Bauer-Fike inequality on condition numbers of similarities that block diagonalized matrices.</p>},
issn = {1991-7139},
doi = {https://doi.org/1991-JCM-9411},
url = {https://global-sci.com/article/86023/extensions-of-the-kantorovich-inequality-and-the-bauer-fike-inequality}
}