Istituto di Scienza e Tecnologie dell'Informazione     
Romani F. On the additive structure of the inverses of banded matrices. In: Linear Algebra and Its Applications, vol. 80 pp. 131 - 140. North-Holland, 1986.
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.
Subject Banded Matrix

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