On the structure of the inverse to Toeplitz-block Toeplitz matrices and of the corresponding polynomial reflection coefficients

Alexander Sakhnovich

doi:10.1090/tran/7770

On the structure of the inverse to Toeplitz-block Toeplitz matrices and of the corresponding polynomial reflection coefficients

Transactions of the American Mathematical Society ◽

10.1090/tran/7770 ◽

2019 ◽

Vol 372 (8) ◽

pp. 5547-5570 ◽

Cited By ~ 1

Author(s):

Alexander Sakhnovich

Keyword(s):

Toeplitz Matrices ◽

Reflection Coefficients ◽

Block Toeplitz Matrices

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Block Toeplitz Matrices: Asymptotic Results and Applications

Foundations and Trends® in Communications and Information Theory ◽

10.1561/0100000066 ◽

2011 ◽

Vol 8 (3) ◽

pp. 179-257 ◽

Cited By ~ 23

Author(s):

Jesú Gutiérrez-Gutiérrez

Keyword(s):

Toeplitz Matrices ◽

Asymptotic Results ◽

Block Toeplitz Matrices

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On the asymptotic eigenvalue distribution of Block-Toeplitz matrices related to the generalized orthonormal basis functions model

Automatica ◽

10.1016/s0005-1098(99)00075-8 ◽

1999 ◽

Vol 35 (10) ◽

pp. 1653-1661 ◽

Cited By ~ 1

Author(s):

Tomás Oliveira e Silva

Keyword(s):

Orthonormal Basis ◽

Toeplitz Matrices ◽

Basis Functions ◽

Eigenvalue Distribution ◽

Block Toeplitz Matrices ◽

Asymptotic Eigenvalue ◽

Asymptotic Eigenvalue Distribution

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Block-Toeplitz matrices and associated properties of a Gaussian model on a half-axis

Theoretical and Mathematical Physics ◽

10.1007/bf01017842 ◽

1985 ◽

Vol 63 (1) ◽

pp. 427-431 ◽

Cited By ~ 1

Author(s):

A. L. Sakhnovich ◽

I. M. Spitkovskii

Keyword(s):

Toeplitz Matrices ◽

Gaussian Model ◽

Block Toeplitz Matrices ◽

Half Axis

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Block Toeplitz matrices for burst-correcting convolutional codes

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas ◽

10.1007/s13398-019-00744-y ◽

2019 ◽

Vol 114 (1) ◽

Cited By ~ 2

Author(s):

Joan-Josep Climent ◽

Diego Napp ◽

Verónica Requena

Keyword(s):

Toeplitz Matrices ◽

Convolutional Codes ◽

Block Toeplitz Matrices

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Computing the exponential of large block-triangular block-Toeplitz matrices encountered in fluid queues

Linear Algebra and its Applications ◽

10.1016/j.laa.2015.03.035 ◽

2016 ◽

Vol 502 ◽

pp. 387-419 ◽

Cited By ~ 16

Author(s):

D.A. Bini ◽

S. Dendievel ◽

G. Latouche ◽

B. Meini

Keyword(s):

Toeplitz Matrices ◽

Large Block ◽

Fluid Queues ◽

Block Toeplitz Matrices ◽

Triangular Block

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On inversion of hermitian block toeplitz matrices

Linear and Multilinear Algebra ◽

10.1080/03081089308818252 ◽

1993 ◽

Vol 35 (2) ◽

pp. 165-171

Author(s):

Miron Tismenetsky

Keyword(s):

Toeplitz Matrices ◽

Block Toeplitz Matrices

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On inverse eigenvalue problems for block Toeplitz matrices with Toeplitz blocks

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.12.023 ◽

2010 ◽

Vol 216 (6) ◽

pp. 1819-1830 ◽

Cited By ~ 2

Author(s):

Zhongyun Liu ◽

Yulin Zhang ◽

C. Ferreira ◽

Rui Ralha

Keyword(s):

Eigenvalue Problems ◽

Toeplitz Matrices ◽

Inverse Eigenvalue Problems ◽

Block Toeplitz Matrices ◽

Inverse Eigenvalue

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Asymptotic generalized eigenvalue distribution of Toeplitz block Toeplitz matrices

2008 IEEE International Conference on Acoustics, Speech and Signal Processing ◽

10.1109/icassp.2008.4518358 ◽

2008 ◽

Author(s):

M. Oudin ◽

J. P. Delmas

Keyword(s):

Toeplitz Matrices ◽

Eigenvalue Distribution ◽

Generalized Eigenvalue ◽

Block Toeplitz Matrices

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Multigrid Methods for Symmetric Positive Definite Block Toeplitz Matrices with Nonnegative Generating Functions

SIAM Journal on Scientific Computing ◽

10.1137/s1064827594271512 ◽

1996 ◽

Vol 17 (5) ◽

pp. 1068-1081 ◽

Cited By ~ 59

Author(s):

Giuseppe Fiorentino ◽

Stefano Serra

Keyword(s):

Generating Functions ◽

Toeplitz Matrices ◽

Multigrid Methods ◽

Positive Definite ◽

Symmetric Positive Definite ◽

Block Toeplitz Matrices

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Singular values and eigenvalues of non-Hermitian block Toeplitz matrices

Linear Algebra and its Applications ◽

10.1016/s0024-3795(97)00308-x ◽

1998 ◽

Vol 272 (1-3) ◽

pp. 59-89 ◽

Cited By ~ 41

Author(s):

Paolo Tilli

Keyword(s):

Toeplitz Matrices ◽

Singular Values ◽

Block Toeplitz Matrices

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