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Inners and Schur complement
Authors:S Barnett  EI Jury
Institution:School of Mathematics University of Bradford Bradford, England;Department of Electrical Engineering and Computer Sciences University of California Berkeley, California USA
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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