Bapat, R.B.

On generalized inverses of banded matrices

Electron. J. Linear Algebra 16, 284-290, electronic only (2007)

Summary

Summary: Bounds for the ranks of upper-right submatrices of a generalized inverse of a strictly lower k-banded matrix are obtained. It is shown that such ranks can be exactly predicted under some conditions. The proof uses the Nullity Theorem and bordering technique for generalized inverse.

Mathematics Subject Classification

15A09

Keywords/Phrases

generalized inverse, banded matrix, rank

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