Inners and Schur complement |
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Authors: | S Barnett EI Jury |
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Institution: | School of Mathematics University of Bradford Bradford, England;Department of Electrical Engineering and Computer Sciences University of California Berkeley, California USA |
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Abstract: | It is shown that for any square matrix having a left triangle of zeros, the determinants of its inners are equal to the leading principal minors of its Schur complement. In particular, if the original matrix has Sylvester-type form, then relationship between zero location theorems for polynomials are recovered. |
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