On the computation of the Smith normal form of compound matrices |
| |
Authors: | Mitrouli M. Koukouvinos C. |
| |
Affiliation: | (1) Department of Mathematics, University of Athens, Panepistemiopolis, GR-15784 Athens, Greece;(2) Department of Mathematics, National Technical University of Athens, Zografou, GR-15773 Athens, Greece |
| |
Abstract: | Compound matrices are encountered in many fields such as Matrix Theory, Systems Theory, Control Theory, etc. In the present paper we develop an efficient algorithm computing the Smith normal form of compound matrices. This algorithm is based on a new theorem establishing an equivalence relation between the Smith normal form of the compounds of a given matrix and the compounds of the Smith normal form of the given matrix. This revised version was published online in June 2006 with corrections to the Cover Date. |
| |
Keywords: | compound matrices Smith normal form 15A21 15A75 |
本文献已被 SpringerLink 等数据库收录! |
|