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 structure of generalized inverses of rectangular banded matrices
BOZZO, Enrico;FASINO, Dario
2005-01-01
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.File in questo prodotto:
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