Title: New inversion formulas for matrices classified in terms of their distance from Toeplitz matrices
Abstract: The problem of solving linear equations, or equivalently of inverting matrices, arises in many fields. Efficient recursive algorithms for finding the inverses of Toeplitz or displacement-type matrices have been known for some time. By introducting a way of characterizing matrices in terms of their "distance" from being Toeplitz, a natural extension of these algorithms is obtained. Several new inversion formulas for the representation of the inverse of non-Toeplitz matrices are also presented.
Publication Year: 1979
Publication Date: 1979-10-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 218
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