Toeplitz and Hankel matrices and their applications

DOI10.1070/RM1984V039N04ABEH004069zbMATH Open0571.15012OpenAlexW1967229967MaRDI QIDQ3688507

L. D. Pustyl'nikov

Publication date: 1984

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1984v039n04abeh004069

zbMATH Keywords

fast Fourier transformasymptotic estimatesintegral operatorsToeplitz matricesHankel matricesstructurecyclic matricessolution of linear systemsnumber of arithmetic operationsanticyclic matricesskew-cyclic matrices

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Direct numerical methods for linear systems and matrix inversion (65F05) Prediction theory (aspects of stochastic processes) (60G25)

Related Items (5)

Functions of Difference Matrices Are Toeplitz Plus Hankel ⋮ Toeplitz and Hankel matrices on \(\mathbb{C}^n\) ⋮ Applications of Hankel and regular matrices in Fourier series ⋮ Transformation techniques for Toeplitz and Toeplitz-plus-Hankel matrices. II: Algorithms ⋮ Generalized Toeplitz–Hankel matrices and their application to a layered electron gas

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