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TW 415
Steven Delvaux, Marc Van Barel
Structures preserved by Schur complementation
Abstract
In this paper we investigate some matrix structures on Cm x n that have a good behaviour under Schur complementation. The first type of structure is closely related to low displacement rank matrices. Next, we show that for a matrix having a low rank submatrix, also the Schur complement must have a low rank submatrix, which we can explicitly determine. This property holds even if the low rank submatrix contains a certain correction term, which we call the shift matrix.
report.pdf (268K) / mailto: S. Delvaux