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SIGIR 2009
We study an iterative, locally quadratically convergent algorithm for solving Toeplitz systems of equations from [R. P. Brent, F. G. Gustavson and D. Y. Y. Yun. "Fast solution of Toeplitz systems of equations and computation of Padé approximations", J. Algorithms, 1:259-295, 1980]. We introduce a new iterative algorithm that is locally quadratically convergent when used to solve symmetric positive definite Toeplitz systems. We present a set of numerical experiments on randomly generated symmetric positive definite Toeplitz matrices. In these experiments, our algorithm performed significantly better than the previously proposed algorithm. © 1993 Springer-Verlag.
Inbal Ronen, Elad Shahar, et al.
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