Modified Szegö–Widom Asymptotics for Block Toeplitz Matrices with Zero Modes
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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… read more here.
Keywords: block toeplitz; toeplitz matrices; szeg widom; zero modes ... See more keywords
On general self-orthogonal matrix-product codes associated with Toeplitz matrices
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DOI: 10.1007/s12095-024-00763-6
Abstract: This paper presents four constructions of general self-orthogonal matrix-product codes associated with Toeplitz matrices. The first one relies on the dual of a known general dual-containing matrix-product code; the second one is founded on a… read more here.
Keywords: matrix product; toeplitz; self orthogonal; toeplitz matrices ... See more keywords
On linear algebra of r-Hankel and r-Toeplitz matrices with geometric sequence
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DOI: 10.1007/s12190-024-02151-y
Abstract: Matrix theory plays a crucial role in solving practical problems and performing computational operations. In particular, specific types of matrices and their linear algebraic properties are of paramount significance for these processes. In this paper,… read more here.
Keywords: algebra; hankel toeplitz; matrices geometric; algebra hankel ... See more keywords
Optimal preconditioners for systems defined by functions of Toeplitz matrices
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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… read more here.
Keywords: functions toeplitz; toeplitz matrices; defined functions; preconditioners systems ... See more keywords
A geometric mean for Toeplitz and Toeplitz-block block-Toeplitz matrices
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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… read more here.
Keywords: block toeplitz; toeplitz matrices; toeplitz; mean toeplitz ... See more keywords
On sequences of Toeplitz matrices over finite fields
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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… read more here.
Keywords: toeplitz matrices; sequences toeplitz; finite fields; matrices finite ... See more keywords
Corrigendum to: “ On sequences of Toeplitz matrices over finite fields” [Linear Algebra Appl. 561 (2019) 63–80]
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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… read more here.
Keywords: matrices finite; toeplitz matrices; sequences toeplitz; finite fields ... See more keywords
Nonconcavity of the spectral radius in Levinger's theorem
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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… read more here.
Keywords: levinger; toeplitz matrices; spectral radius; levinger theorem ... See more keywords
Eigenpairs of some imperfect pentadiagonal Toeplitz matrices
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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… read more here.
Keywords: pentadiagonal toeplitz; toeplitz matrices; main diagonal; imperfect pentadiagonal ... See more keywords
Distribution of eigenvalues of Toeplitz matrices with smooth entries
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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 {… read more here.
Keywords: matrices smooth; distribution eigenvalues; smooth entries; eigenvalues toeplitz ... See more keywords
Improved multiple-Toeplitz matrices reconstruction method using quadratic spatial smoothing for coherent signals DOA estimation
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DOI: 10.1108/ec-08-2023-0416
Abstract: PurposeThe purpose of this paper is to exploit the multiple-Toeplitz matrices reconstruction method combined with quadratic spatial smoothing processing to improve the direction-of-arrival (DOA) estimation performance of coherent signals at low signal-to-noise ratio (SNRs).Design/methodology/approachAn improved… read more here.
Keywords: method; multiple toeplitz; estimation; toeplitz matrices ... See more keywords