Article ID Journal Published Year Pages File Type
4626838 Applied Mathematics and Computation 2015 10 Pages PDF
Abstract

In this paper we show how to apply Gröbner bases to compute the Drazin inverse of a matrix with multivariate rational functions as entries. When the coefficients of the rational functions depend on parameters, we give sufficient conditions for the Drazin inverse to specialize properly. In addition, we extend the method to weighted Drazin inverses. We present an empirical analysis that shows a good timing performance of the method.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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