Article ID Journal Published Year Pages File Type
4630878 Applied Mathematics and Computation 2012 6 Pages PDF
Abstract

The inverse of a Schur complement is a very useful tool in many algorithms for the computation of the matrix inversion. In this paper we study the inverse of a special Schur complement CD−1B. We proved that always exist some X and Y such that XDY is a inverse of CD−1B. Furthermore, using minimal rank properties, we give some explicit expressions for X, Y and the inverse of CD−1B. Numerical examples also given.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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