Geodesic
The Drazin inverse through the matrix pencil approach and its application to the study of generalized linear systems with rectangular or square coefficient matrices
The electronic journal of linear algebra, Tome 17 (2008), pp. 118-138.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In several applications, e.g., in control and systems modeling theory, Drazin inverses and matrix pencil methods for the study of generalized (descriptor) linear systems are used extensively. In this paper, a relation between the Drazin inverse and the Kronecker canonical form of rectangular pencils is derived and fully investigated. Moreover, the relation between the Drazin inverse and the Weierstrass canonical form is revisited by providing a more algorithmic approach.
Classification : 15A09, 15A22
Keywords: drazin inverse, matrix pencil theory, generalized linear systems 
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     author = {Kalogeropoulos, Grigoris I. and Karageorgos, Athanasios D. and Pantelous, Athanasios A.},
     title = {The {Drazin} inverse through the matrix pencil approach and its application to the study of generalized linear systems with rectangular or square coefficient matrices},
     journal = {The electronic journal of linear algebra},
     pages = {118--138},
     publisher = {mathdoc},
     volume = {17},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2008__17__a34/}
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Kalogeropoulos, Grigoris I.; Karageorgos, Athanasios D.; Pantelous, Athanasios A. The Drazin inverse through the matrix pencil approach and its application to the study of generalized linear systems with rectangular or square coefficient matrices. The electronic journal of linear algebra, Tome 17 (2008), pp. 118-138. http://geodesic.mathdoc.fr/item/ELA_2008__17__a34/