Controlled approximation for the inverses of special tridiagonal Toeplitz and modified Toeplitz matrices
β Scribed by C. Bruni; S. Vergari
- Publisher
- Springer Milan
- Year
- 2003
- Tongue
- English
- Weight
- 158 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0008-0624
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π SIMILAR VOLUMES
The inverse eigenvalue problem for Toeplitz matrices (ITEP), concerning the reconstruction of a symmetric Toeplitz matrix from prescribed spectral data, is considered. To numerically construct such a matrix the approach introduced by Chu in (SIAM Rev. 40(1) (1998) 1-39) is followed. He proposed to s
we propose a "fast" algorithm for the construction of a data-sparse inver'~ of a general Toeplitz matrix. The computational cost for inverting an N Γ N Toeplitz matrix equals the cost of four length-N FFTs plus an O(N)-term. This cost should be compared to the O(Nlog2N) cost of previously published