Solving systems of linear equations with quasi-Toeplitz coefficient matrices
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXV, Tome 405 (2012), pp. 127-132
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A matrix $A$ is said to be quasi-Toeplitz if its entries in positions $(i,j)$, $(i-1,j)$, $(i,j-1)$, and $(i-1,j-1)$ obey a linear relation with coefficients that are independent of $i$ and $j$. It is shown that a system of linear equations with a quasi-Toeplitz $n\times n$ coefficient matrix can be solved in $O(n^2)$ arithmetic operations.
@article{ZNSL_2012_405_a9,
author = {Kh. D. Ikramov},
title = {Solving systems of linear equations with {quasi-Toeplitz} coefficient matrices},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {127--132},
year = {2012},
volume = {405},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_405_a9/}
}
Kh. D. Ikramov. Solving systems of linear equations with quasi-Toeplitz coefficient matrices. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXV, Tome 405 (2012), pp. 127-132. http://geodesic.mathdoc.fr/item/ZNSL_2012_405_a9/
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