An Underwater Velocity-Independent DOA Estimation Based on Improved Toeplitz Matrix Reconstruction [PDF]
SensorsConventional acoustic velocity-independent direction of arrival (DOA) estimation models have limited measurement ranges and low degrees of freedom.
Xuejin Zhao +3 more
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A matrix-valued Berezin-Toeplitz quantization [PDF]
Journal of Mathematical Physics, 2006 We generalize some earlier results on a Berezin-Toeplitz type of quantization on Hilbert spaces built over certain matrix domains. In the present, wider setting, the theory could be applied to systems possessing several kinematic and internal degrees of freedom.
S. Twareque Ali, Miroslav Engliš
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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 ...
Muhammad Ahsan Khan
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Two fast algorithms for finding the solution of the lower Hessenberg quasi-Toeplitz linear system from Markov chain [PDF]
Scientific ReportsWe present two fast algorithms for finding the solution of the nonsingular lower Hessenberg quasi-Toeplitz linear system stem from Markov chain. And we confirm the complexity of these two algorithms is both O $$(n\log n)$$ based on the fact that a lower ...
Yaru Fu +3 more
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Toeplitz matrix completion via a low-rank approximation algorithm [PDF]
Journal of Inequalities and Applications, 2020 In this paper, we propose a low-rank matrix approximation algorithm for solving the Toeplitz matrix completion (TMC) problem. The approximation matrix was obtained by the mean projection operator on the set of feasible Toeplitz matrices for every ...
Ruiping Wen, Yaru Fu
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Combined Matrix of a Tridiagonal Toeplitz Matrix
AxiomsIn this work, combined matrices of tridiagonal Toeplitz matrices are studied. The combined matrix is known as the Relative Gain Array in control theory.
Begoña Cantó +2 more
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Eigenvalues of 2-tridiagonal Toeplitz matrix [PDF]
Journal of Applied Mathematics and Computational Mechanics, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jolanta Borowska, Lena Łacińska
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Matrix convexity and unitary power dilations of Toeplitz-contractive operator tuples. [PDF]
Acta Sci MathFarenick D.
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Algorithms for solving a class of real quasi-symmetric Toeplitz linear systems and its applications
Electronic Research Archive, 2023 In this paper, fast numerical methods for solving the real quasi-symmetric Toeplitz linear system are studied in two stages. First, based on an order-reduction algorithm and the factorization of Toeplitz matrix inversion, a sequence of linear systems ...
Xing Zhang +3 more
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Source Enumeration via Toeplitz Matrix Completion [PDF]
ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2020 This paper addresses the problem of source enumeration by an array of sensors in the presence of noise whose spatial covariance structure is a diagonal matrix with possibly different variances, referred to non-iid noise hereafter, when the sources are uncorrelated.
Vaibhav, Garg +3 more
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