Istituto di Scienza e Tecnologie dell'Informazione     
Rosza P., Bevilacqua R., Romani F., Favati P. On band matrices and their inverses. In: Linear Algebra and its Applications, vol. 150 pp. 287 - 295. Elsevier, 1991.
Structural properties of the inverses of band matrices are discussed. The definition of semiseparable matrices is given, and the theorem is proved that the inverse of a strict band matrix is a semiseparable matrix and vice versa. Finally, a recurrence algorithm is recommended for computing the blocks of the inverses of strict band matrices. 1. INTRODUCTION A new proof will be given for the structural properties of the inverses of

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