Name
Title | ||
|---|---|---|
Gröbner basis computation of Drazin inverses with multivariate rational function entries |
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. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.amc.2015.02.070 | Applied Mathematics and Computation |
Keywords | Field | DocType |
drazin inverse,grö,bner bases,symbolic computation | Algebra,Multivariate statistics,Matrix (mathematics),Symbolic computation,Drazin inverse,Gröbner basis,Rational function,Mathematics,Computation | Journal |
Volume | Issue | ISSN |
259 | C | 0096-3003 |
Citations | PageRank | References |
2 | 0.41 | 8 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Juana Sendra | 1 | 193 | 19.65 |
| J. Rafael Sendra | 2 | 621 | 68.33 |