Results 31 to 40 of about 1,649 (181)
Explicit inverse of a tridiagonal k−Toeplitz matrix [PDF]
Numerische Mathematik, 2005 The paper presents explicit expressions for the entries of the inverse of a tridiagonal \(k\)-Toeplitz matrix \(A\). Conditions for the existence of \(A^{-1}\) are obtained from an explicit expression of the characteristic polynomial of \(A\). The results presented in the paper extend known results for the case when the residue \(\operatorname {mod} k\)
Fonseca, C. M. da, Petronilho, J.
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Block Toeplitz operators with frequency-modulated semi-almost periodic symbols
International Journal of Mathematics and Mathematical Sciences, 2003 This paper is concerned with the influence of frequency modulation on the semi-Fredholm properties of Toeplitz operators with oscillating matrix symbols.
A. Böttcher, S. Grudsky, I. Spitkovsky
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Product of matrix valued truncated Toeplitz operators
Hacettepe Journal of Mathematics and Statistics, 2022 Let $A_\Phi$ be a matrix valued truncated Toeplitz operator -- the compression of multiplication operator to the vector valued model space $H^2(E)\ominus \Theta H^2(E)$, where $\Theta$ is a matrix valued non constant inner function. Under supplementary assumptions, we find necessary and sufficient condition that the product $A_\Phi A_\Psi$ is itself a ...
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On decomposition of k-tridiagonal ℓ-Toeplitz matrices and its applications
Special Matrices, 2015 We consider a k-tridiagonal ℓ-Toeplitz matrix as one of generalizations of a tridiagonal Toeplitz matrix. In the present paper, we provide a decomposition of the matrix under a certain condition.
Ohashi A., Sogabe T., Usuda T.S.
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Special Matrices, 2020 In this paper, our main attention is paid to calculate the determinants and inverses of two types Toeplitz and Hankel tridiagonal matrices with perturbed columns.
Fu Yaru +3 more
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A fourth-order cumulant orthonormal propagator rooting method based on Toeplitz approximation
EURASIP Journal on Wireless Communications and Networking, 2020 A novel Toeplitz fourth-order cumulant (FOC) orthonormal propagator rooting method (TFOC ‐ OPRM) of direction-of-arrival (DOA) estimation for uniform linear array (ULA) is proposed in this paper. Specifically, the modified (i.e., reduced-dimension) FOC (
Heping Shi +4 more
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Boundary Value Problems, 2018 The centered difference discretization of the spatial fractional coupled nonlinear Schrödinger equations obtains a discretized linear system whose coefficient matrix is the sum of a real diagonal matrix D and a complex symmetric Toeplitz matrix T̃ which ...
Ruiping Wen, Peipei Zhao
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Beyond the Non‐Hermitian Skin Effect: Scaling‐Controlled Topology from Exceptional‐Bound Bands
Advanced Science, EarlyView.ABSTRACT We establish a novel mechanism for topological transitions in non‐Hermitian systems that are controlled by the system size. Based on a new paradigm known as exceptional‐bound (EB) band engineering, its mechanism hinges on the unique critical scaling behavior near an exceptional point, totally unrelated to the well‐known non‐Hermitian skin ...
Mengjie Yang, Ching Hua Lee
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Asian Journal of Control, EarlyView.Abstract Large swarms often adopt a hierarchical network structure that incorporates information aggregation. Although this approach offers significant advantages in terms of communication efficiency and computational complexity, it can also lead to degradation due to information constraints.
Kento Fujita, Daisuke Tsubakino
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An Improved Direction Finding Algorithm Based on Toeplitz Approximation
Sensors, 2013 In this paper, a novel direction of arrival (DOA) estimation algorithm called the Toeplitz fourth order cumulants multiple signal classification method (TFOC-MUSIC) algorithm is proposed through combining a fast MUSIC-like algorithm termed the modified ...
Qing Wang +4 more
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