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.
Block tridiagonal matrices, band matrices and their inverses
Favati P
1989
Abstract
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.File in questo prodotto:
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Descrizione: Block tridiagonal matrices, band matrices and their inverses
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