An application of the separation theorem for hermitian matrices
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- by T. L. Markham PDF
- Proc. Amer. Math. Soc. 47 (1975), 61-64 Request permission
Abstract:
Suppose $H$ is an $n \times n$ hermitian matrix over the complex field partitioned as $H = \left (\begin {smallmatrix}A&B\\B*&C\end {smallmatrix}\right )$, where $C$ is invertible. Using the separation theorem on eigenvalues of hermitian matrices, bounds are obtained for the eigenvalues of $(H/C) = A - B{C^{ - 1}}{B^ \ast }$ in terms of the eigenvalues of $H$ and $C$.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 47 (1975), 61-64
- MSC: Primary 15A18
- DOI: https://doi.org/10.1090/S0002-9939-1975-0364290-1
- MathSciNet review: 0364290