Title: Structures preserved by Schur complementation
Authors: Delvaux, Steven ×
Van Barel, Marc #
Issue Date: 2006
Publisher: Society for Industrial and Applied Mathematics
Series Title: SIAM Journal on Matrix Analysis and Applications vol:28 issue:1 pages:229-252
Abstract: In this paper we investigate some matrix structures on C-mXn that are preserved by 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, the Schur complement also 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 that we call the shift matrix.
ISSN: 0895-4798
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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