Determinants and inverses of perturbed periodic tridiagonal Toeplitz matrices [PDF]
Advances in Difference Equations, 2019 In this paper, we deal mainly with a class of periodic tridiagonal Toeplitz matrices with perturbed corners. By matrix decomposition with the Sherman–Morrison–Woodbury formula and constructing the corresponding displacement of matrices we derive the ...
Yunlan Wei +3 more
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The bi-periodic Horadam sequence and some perturbed tridiagonal 2-Toeplitz matrices: A unified approach [PDF]
Heliyon, 2022 In this note we consider the so-called bi-periodic Horadam sequences. Explicit formulas in terms of Chebyshev polynomials of the second kind and the determinant of some perturbed tridiagonal 2-Toeplitz matrices are established.
Milica Anđelić +2 more
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A Study of Determinants and Inverses for Periodic Tridiagonal Toeplitz Matrices with Perturbed Corners Involving Mersenne Numbers [PDF]
Mathematics, 2019 In this paper, we study periodic tridiagonal Toeplitz matrices with perturbed corners. By using some matrix transformations, the Schur complement and matrix decompositions techniques, as well as the Sherman-Morrison-Woodbury formula, we derive explicit ...
Yunlan Wei +3 more
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Block Tridiagonal Reduction of Perturbed Normal and Rank Structured Matrices [PDF]
, 2013 It is well known that if a matrix $A\in\mathbb C^{n\times n}$ solves the matrix equation $f(A,A^H)=0$, where $f(x, y)$ is a linear bivariate polynomial, then $A$ is normal; $A$ and $A^H$ can be simultaneously reduced in a finite number of operations to ...
Bevilacqua, Roberto +2 more
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Bidiagonalization of (k, k + 1)-tridiagonal matrices [PDF]
Special Matrices, 2019 In this paper,we present the bidiagonalization of n-by-n (k, k+1)-tridiagonal matriceswhen n < 2k. Moreover,we show that the determinant of an n-by-n (k, k+1)-tridiagonal matrix is the product of the diagonal elements and the eigenvalues of the matrix ...
Takahira S., Sogabe T., Usuda T.S.
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Structured Distance to Normality of Dirichlet–Neumann Tridiagonal Toeplitz Matrices [PDF]
AxiomsThis paper conducts a rigorous study on the spectral properties and operator-space distances of perturbed Dirichlet–Neumann tridiagonal (PDNT) Toeplitz matrices, with emphasis on their asymptotic behaviors. We establish explicit closed-form solutions for
Zhaolin Jiang +3 more
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Block diagonalization of (p, q)-tridiagonal matrices
Special MatricesIn this article, we study the block diagonalization of (p,q)\left(p,q)-tridiagonal matrices and derive closed-form expressions for the number and structure of diagonal blocks as functions of the parameters pp, qq, and nn. This reduction enables efficient
Manjunath Hariprasad
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The characteristic polynomial of some anti-tridiagonal 2-Hankel matrices of even order
Kuwait Journal of Science, 2019 In this paper we derive the characteristic polynomial for a family of anti-tridiagonal 2-Hankel matrices of even order at the expense of Chebyshev polynomials giving also a representation of its eigenvectors.
João Lita da Silva
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Computing eigenvectors of block tridiagonal matrices based on twisted block factorizations.
J Comput Appl Math, 2012 König G, Moldaschl M, Gansterer WN.
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A Fast Algorithm for the Eigenvalue Bounds of a Class of Symmetric Tridiagonal Interval Matrices
AppliedMath, 2023 The eigenvalue bounds of interval matrices are often required in some mechanical and engineering fields. In this paper, we improve the theoretical results presented in a previous paper “A property of eigenvalue bounds for a class of symmetric tridiagonal
Quan Yuan, Zhixin Yang
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