The additive structure of the inverses of banded matrices is investigated. Under certain conditions, the inverse of a (2k+1)-diagonal symmetric banded matrix can be expressed as a sum of k symmetric matrices belonging to the class of inverses of symmetric irreducible tridiagonal matrices. In the nonsymmetric case, a more complicated structure is obtained. Applications are mentioned for the resolution of constant coefficient banded linear systems in VLSI models.
On the additive structure of the inverses of banded matrices
1986
Abstract
The additive structure of the inverses of banded matrices is investigated. Under certain conditions, the inverse of a (2k+1)-diagonal symmetric banded matrix can be expressed as a sum of k symmetric matrices belonging to the class of inverses of symmetric irreducible tridiagonal matrices. In the nonsymmetric case, a more complicated structure is obtained. Applications are mentioned for the resolution of constant coefficient banded linear systems in VLSI models.File in questo prodotto:
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