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.
ON BAND MATRICES AND THEIR INVERSES
BEVILACQUA, ROBERTO;ROMANI, FRANCESCO;
1991-01-01
Abstract
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.File in questo prodotto:
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