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Published in 2018 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-018-2177-8
Abstract: The Szegö–Widom theorem provides an expression for the determinant of block Toeplitz matrices in the asymptotic limit of large matrix dimension n. We show that the presence of zero modes, i.e, eigenvalues that vanish as…
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Keywords:
block toeplitz;
toeplitz matrices;
szeg widom;
zero modes ... See more keywords
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Published in 2018 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2018.03.003
Abstract: Abstract We propose several circulant preconditioners for systems defined by some functions g of Toeplitz matrices A n . In this paper we are interested in solving g ( A n ) x = b…
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Keywords:
functions toeplitz;
toeplitz matrices;
defined functions;
preconditioners systems ... See more keywords
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Published in 2018 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2018.03.014
Abstract: Abstract Using the symbol functions and their associated Fourier series, we introduce a new definition of geometric mean for all positive semi-definite Toeplitz matrices and positive semi-definite block-Toeplitz matrices with Toeplitz structured blocks (TBBT). The…
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Keywords:
block toeplitz;
toeplitz matrices;
toeplitz;
mean toeplitz ... See more keywords
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Published in 2019 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2018.09.013
Abstract: Abstract For each non-negative integer n let A n be an n + 1 by n + 1 Toeplitz matrix over a finite field, F, and suppose for each n that A n is embedded…
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Keywords:
toeplitz matrices;
sequences toeplitz;
finite fields;
matrices finite ... See more keywords
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Published in 2020 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2020.01.008
Abstract: Abstract For each non-negative integer n let A n be an n + 1 by n + 1 Toeplitz matrix over a finite field, F, and suppose for each n that A n is embedded…
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Keywords:
matrices finite;
toeplitz matrices;
sequences toeplitz;
finite fields ... See more keywords
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Published in 2020 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2020.07.028
Abstract: Abstract Let A ∈ R n × n be a nonnegative irreducible square matrix and let r ( A ) be its spectral radius and Perron-Frobenius eigenvalue. Levinger asserted and several have proven that r…
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Keywords:
levinger;
toeplitz matrices;
spectral radius;
levinger theorem ... See more keywords
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Published in 2021 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2020.09.014
Abstract: Abstract In this paper we consider pentadiagonal ( n + 1 ) × ( n + 1 ) matrices with two sub-diagonals above and below the main diagonal at distances k and l from the…
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Keywords:
pentadiagonal toeplitz;
toeplitz matrices;
main diagonal;
imperfect pentadiagonal ... See more keywords
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Published in 2022 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2021.10.014
Abstract: Abstract We investigate distribution of eigenvalues of growing size Toeplitz matrices [ a n + k − j ] 1 ≤ j , k ≤ n as n → ∞ , when the entries {…
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Keywords:
matrices smooth;
distribution eigenvalues;
smooth entries;
eigenvalues toeplitz ... See more keywords
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Published in 2019 at "IEEE Access"
DOI: 10.1109/access.2019.2909783
Abstract: In this paper, a new direction-of-arrival (DOA) estimation method based on multiple Toeplitz matrices reconstruction is proposed for coherent narrowband signals with a uniform linear array (ULA). First, the received signals impinging on the ULA…
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Keywords:
reconstruction;
matrices reconstruction;
multiple toeplitz;
toeplitz matrices ... See more keywords
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Published in 2022 at "Symmetry"
DOI: 10.3390/sym14071413
Abstract: By making use of prestarlike functions, we introduce in this paper a certain family of normalized holomorphic functions defined in the open unit disk, and we establish coefficient estimates for the first four determinants of…
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Keywords:
matrices new;
symmetric toeplitz;
family;
toeplitz matrices ... See more keywords