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• W2055507002 abstract "We describe an implementation of the generalized Schur algorithm for the superfast solution of real positive definite Toeplitz systems of order $n + 1$, where $n = 2^nu$. Our implementation uses the split-radix Fast Fourier Transform algorithms for real data of Duhamel. We are able to obtain the nth Szegö polynomial using less than $8nlog _2^2 n$ real arithmetic operations without explicit use of the bit-reversal permutation. Since Levinson’s algorithm requires slightly more than $2n^2 $ operations to obtain this polynomial, we achieve crossover with Levinson’s algorithm at $n = 256$." @default.
• W2055507002 created "2016-06-24" @default.
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• W2055507002 date "1988-01-01" @default.
• W2055507002 modified "2023-09-30" @default.
• W2055507002 title "Superfast Solution of Real Positive Definite Toeplitz Systems" @default.
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• W2055507002 doi "https://doi.org/10.1137/0609005" @default.
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