article · IEEE Transactions on Acoustics Speech and Signal Processing · 1983
Efficient inversion of Toeplitz-block Toeplitz matrix
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Abstract
An iterative algorithm for the inversion of a Toeplitz-block Toeplitz matrix consisting of m × m blocks of size p × p is described. The algorithm presented exploits the structure of the Toeplitz-block Toeplitz matrix and outperforms Akaike's algorithm by a factor of <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">\max {2(p/m), 2}</tex> . The use of this algorithm for an iterative solution of a Toeplitz-block Toeplitz set of linear equations is also presented.
Cite this paper
Wax, M., & Kailath, T. (1983). Efficient inversion of Toeplitz-block Toeplitz matrix. IEEE Transactions on Acoustics Speech and Signal Processing, 31(5), 1218–1221. https://doi.org/10.1109/tassp.1983.1164208
Wax, M., and T. Kailath. “Efficient inversion of Toeplitz-block Toeplitz matrix.” IEEE Transactions on Acoustics Speech and Signal Processing, vol. 31, no. 5, 1983, pp. 1218–21, https://doi.org/10.1109/tassp.1983.1164208.
Wax, M., and T. Kailath. 1983. “Efficient inversion of Toeplitz-block Toeplitz matrix.” IEEE Transactions on Acoustics Speech and Signal Processing 31 (5): 1218–21. https://doi.org/10.1109/tassp.1983.1164208.
Wax, M. and Kailath, T. (1983) ‘Efficient inversion of Toeplitz-block Toeplitz matrix’, IEEE Transactions on Acoustics Speech and Signal Processing, 31(5), pp. 1218–1221. Available at: https://doi.org/10.1109/tassp.1983.1164208.
@article{wax1983efficient,
title = {{Efficient inversion of Toeplitz-block Toeplitz matrix}},
author = {Wax, M. and Kailath, T.},
journal = {IEEE Transactions on Acoustics Speech and Signal Processing},
volume = {31},
number = {5},
pages = {1218--1221},
year = {1983},
doi = {10.1109/tassp.1983.1164208}
}Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.