Istituto di Scienza e Tecnologie dell'Informazione     
Rosza P., Bevilacqua R., Romani F., Favati P. Block tridiagonal matrices, band matrices and their inverses. Internal note IEI-B4-61, 1989.
Structural properties of the inverses of block tridiagonal matrices and band matrices are discussed. The definition of semi-separable matrices is given and the theorem is proved that the inverse of a strict band matrix is a semi-separable matrix and vice versa. Finally, a recursive algorithm is presented for computing the blocks of the inverses of strict band matrices.

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