Some interlacing theorems on the schur complement |
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| Authors: | Chi-Kwong Li Roy Mathias |
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| Institution: |
a Department of Mathematics, The College of William and Mary, Williamsburg,Virginia, USA |
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| Abstract: | We give a short proof of the interlacing theorem on the eigenvalues of Schur complements of Hermitian matrices due to Hu and Smith, and extend the technique to prove an interlacing theorem on the singular values of Schur complements of rectangular complex matrices. |
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| Keywords: | Schur complement eigenvalue interlacing inequalities |
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