Results 11 to 20 of about 26,208 (246)
Companion matrices and their relations to Toeplitz and Hankel matrices
Special Matrices, 2015 In this paper we describe some properties of companion matrices and demonstrate some special patterns that arisewhen a Toeplitz or a Hankel matrix is multiplied by a related companion matrix.We present a necessary and sufficient condition, generalizing ...
Luo Yousong, Hill Robin
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A Note On the Rank of the Optimal Matrix in Symmetric Toeplitz Matrix Completion Problem [PDF]
, 2019 We consider the symmetric Toeplitz matrix completion problem, whose matrix under consideration possesses specific row and column structures. This problem, which has wide application in diverse areas, is well-known to be computationally NP-hard. This note
Xihong Xu
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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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Matrix valued truncated Toeplitz operators: basic properties [PDF]
, 2017 Matrix valued truncated Toeplitz operators act on vector-valued model spaces. They represent a generalization of block Toeplitz matrices. A characterization of these operators analogue to the scalar case is obtained, as well as the determination of the ...
Rewayat Khan, Dan Timotin
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Generalized Crofoot transform and applications
Concrete Operators, 2023 Matrix-valued asymmetric truncated Toeplitz operators are compressions of multiplication operators acting between two model spaces. These are the generalization of matrix-valued truncated Toeplitz operators. In this article, we describe symbols of matrix-
Khan Rewayat, Farooq Aamir
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Hamiltonicity in Directed Toeplitz Graphs with s1=1 and s3=4
Computational and Mathematical Methods, 2023 A directed Toeplitz graph Tns1,⋯,sk;t1,⋯,tl with vertices 1, 2, ⋯, n is a directed graph whose adjacency matrix is a Toeplitz matrix. In this paper, we investigate the Hamiltonicity in directed Toeplitz graphs Tns1,⋯,sk;t1,⋯,tl with s1=1 and s3=4.
Shabnam Malik
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H-representation method for solving reduced biquaternion matrix equation
Mathematical Modelling and Control, 2022 In this paper, we study the Hankel and Toeplitz solutions of reduced biquaternion matrix equation (1.1). Using semi-tensor product of matrices, the reduced biquaternion matrix equation (1.1) can be transformed into a general matrix equation of the form ...
Xueling Fan +3 more
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Toeplitz-like preconditioner for linear systems from spatial fractional diffusion equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2021 The article deals with constructing Toeplitz-like preconditioner for linear systems arising from finite difference discretization of the spatial fractional diffusion equations. The coefficient matrices of these linear systems have an $S+L$ structure,
N. Akhoundi
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Matrix-valued Berezin-Toeplitz quantization [PDF]
Journal of Mathematical Physics, 2007 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.
Ali, S.-T., Engliš, M. (Miroslav)
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Isometries of the Toeplitz matrix algebra
Journal of Mathematical Analysis and Applications, 2016 We study the structure of isometries defined on the algebra $\mathcal{A}$ of upper-triangular Toeplitz matrices. Our first result is that a continuous multiplicative isometry $\mathcal{A}\to M_n$ must be of the form either $A\mapsto UAU^*$ or $A\mapsto U\overline AU^*$, where $\overline A$ is the complex conjugation and $U$ is a unitary matrix.
Farenick, Douglas +2 more
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