Name
Abstract | ||
|---|---|---|
In this paper, we show how to reduce the computation of Drazin inverses over certain computable fields to the computation of Drazin inverses of matrices with rational functions as entries. As a consequence we derive a symbolic algorithm to compute the Drazin inverse of matrices whose entries are elements of a finite transcendental field extension of a computable field. The algorithm is applied to matrices over the field of meromorphic functions, in several complex variables, on a connected domain and to matrices over the field of Laurent formal power series. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1016/j.cam.2016.01.059 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
Drazin inverse,Analytic perturbation,Gröbner bases,Symbolic computation,Meromorphic functions,Laurent formal power series | Algebra,Meromorphic function,Mathematical analysis,Matrix (mathematics),Symbolic computation,Formal power series,Field extension,Drazin inverse,Several complex variables,Rational function,Mathematics | Journal |
Volume | Issue | ISSN |
301 | C | 0377-0427 |
Citations | PageRank | References |
1 | 0.38 | 11 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. Rafael Sendra | 1 | 621 | 68.33 |
| Juana Sendra | 2 | 193 | 19.65 |