Theory and algorithm of the inversion method for pentadiagonal matrices
β Scribed by M. E. Kanal; N. A. Baykara; M. Demiralp
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 281 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0259-9791
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π SIMILAR VOLUMES
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
A method for computing the inverse of an (n Γ n) integer matrix A using p-adic approximation is given. The method is similar to Dixon's algorithm, but ours has a quadratic convergence rate. The complexity of this algorithm (without using FFT or fast matrix multiplication) is O(n 4 (log n) 2 ), the s