Fast algorithms for solving Toeplitz systems of equations, such as the Levinson algorithm, are well known. However, in practice the submatrices occurring ...
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These algorithms work generally by starting with a small Toeplitz matrix and growing solutions of increasing size until the final solution to the n×n problem is ...
We present a probabilistic Las Vegas algorithm for solving sufficiently generic square polynomial systems over finite fields. We achieve a nearly quadratic ...
We present two new algorithms, ADT and MDT, for solving order-n Toeplitz systems of linear equations Tz = b in time O(n log 2 n) and space O(n).
Three fast algorithms for solving Toeplitz systems of equations are presented. The algorithms all embed the Toeplitz system in a circulant system, ...
Abstract. We describe an implementation of the generalized Schur algorithm for the superfast solution of real positive definite Toeplitz systems of order n ...
On the HSS iteration methods for positive definite Toeplitz linear systems · A Fast Stable Solver for Nonsymmetric Toeplitz and Quasi-Toeplitz Systems of Linear ...
Out of all the n × n Toeplitz matrices over a finite field of q elements, a fraction of exactly (1−1/q) is non-singular. Also a fraction of exactly (1/q)(1 − ...
Ahstruct-A “coordinate recurrence” method for solving sparse systems of linear equations over finite fields is described. The algorithms discussed.
Fast Fourier Transforms over finite fields. During our work, the following tasks have been performed: (i) Study Kumar's algorithm. (ii) Learn the basis of finite ...