Istituto di Scienza e Tecnologie dell'Informazione     
Romani F. On the additive structure of the inverse of band matrices. Internal note IEI-B84-16, 1984.
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.

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