Positive definite Toeplitz matrices, the Arnoldi process for isometric operators, and Gaussian quadrature on the unit circle (Q1802166)

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scientific article; zbMATH DE number 219119
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Positive definite Toeplitz matrices, the Arnoldi process for isometric operators, and Gaussian quadrature on the unit circle
scientific article; zbMATH DE number 219119

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    Positive definite Toeplitz matrices, the Arnoldi process for isometric operators, and Gaussian quadrature on the unit circle (English)
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    1993
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    It is shown that the Levinson algorithm for the inverse Cholesky factorization of positive definite Toeplitz matrices is a special case of a more general method. An efficient implementation of the Arnoldi process for isometric operators is given. A Gaussian quadrature on the unit circle is derived.
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    Levinson algorithm
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    inverse Cholesky factorization
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    positive definite Toeplitz matrices
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    Arnoldi process
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    isometric operators
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    Gaussian quadrature
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