Abstract: An n×n Toeplitz matrix is a square matrix in which element a, ij = a i- j . An n×n circulant matrix is a square matrix in which element a, ij = a ((i- j) ). A circulant matrix is a Toeplitz matrix. A Toeplitz system of equations is given by the matrix-vector equation Af = g. The computational task of solving the Toeplitz system of equations is the task of computing the vector f when given the vector g and the elements of the Toeplitz matrix on the left. One way to solve for f is to compute the matrix inverse. But to compute the matrix inverse for very large n may be impractical, both because of the amount of computation and because of problems of precision.
Publication Year: 1992
Publication Date: 1992-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
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Cited By Count: 1
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