On the Elementwise Convergence of Continuous Functions of Hermitian Banded Toeplitz Matrices

DOI10.1109/TIT.2006.890697zbMath1310.94062MaRDI QIDQ3548177

Jesús Gutiérrez-Gutiérrez, Pedro M. Crespo

Publication date: 21 December 2008

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

zbMATH Keywords

Toeplitz matricescovariance matricesfunctions of matricesSzegő's theoremCirculant matricesMMSEelementwise convergencestationary stochastic time series

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Channel models (including quantum) in information and communication theory (94A40) Coding theorems (Shannon theory) (94A24) Toeplitz, Cauchy, and related matrices (15B05)

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On computing of arbitrary positive integer powers for one type of symmetric pentadiagonal matrices of odd order ⋮ Entries of continuous functions of large Hermitian tridiagonal 2-Toeplitz matrices ⋮ Binomial coefficients and powers of large tridiagonal matrices with constant diagonals ⋮ On computing of arbitrary positive integer powers for one type of even order symmetric anti-pentadiagonal matrices

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