In the additive structure of the inverses of band matrices is investigated. The inverse of a (2k+1)- diagonal symmetric band matrices can be expressed as a sum of k symmetric matrices belonging to a class containing the inverses of symmetric tridiagonal matrices. In the nonsymmetric case. a more complicated structure is obtained. Applications are presented to VLSI solution of constant coefficient banded linear systems.
On the additive structure of the inverse of band matrices
1984
Abstract
In the additive structure of the inverses of band matrices is investigated. The inverse of a (2k+1)- diagonal symmetric band matrices can be expressed as a sum of k symmetric matrices belonging to a class containing the inverses of symmetric tridiagonal matrices. In the nonsymmetric case. a more complicated structure is obtained. Applications are presented to VLSI solution of constant coefficient banded linear systems.File in questo prodotto:
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