We describe rank structures in generalized inverses of possibly rectangular banded matrices. In particular, we show that various kinds of generalized inverses of rectangular banded matrices have submatrices whose rank depends on the bandwidth and on the nullity of the matrix. Moreover, we give an explicit representation formula for some generalized inverses of strictly banded matrices.

Rank structures of generalized inverses of rectangular banded matrices

BEVILACQUA, ROBERTO;BOZZO, ENRICO;DEL CORSO, GIANNA MARIA;
2005

Abstract

We describe rank structures in generalized inverses of possibly rectangular banded matrices. In particular, we show that various kinds of generalized inverses of rectangular banded matrices have submatrices whose rank depends on the bandwidth and on the nullity of the matrix. Moreover, we give an explicit representation formula for some generalized inverses of strictly banded matrices.
Bevilacqua, Roberto; Bozzo, Enrico; DEL CORSO, GIANNA MARIA; Fasino, D.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/206282
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