Results 11 to 20 of about 475,064 (272)
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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Symbolic Algorithm for Inverting General k-Tridiagonal Interval Matrices
International Journal of Analysis and Applications, 2023 The k-tridiagonal matrices have received much attention in recent years. Many different algorithms have been proposed to improve the efficiency of k-tridiagonal matrix estimation.
Sivakumar Thirupathi +1 more
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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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Explicit Expression for Arbitrary Positive Powers of Special Tridiagonal Matrices
Journal of Applied Mathematics, 2020 Tridiagonal matrices appear frequently in mathematical models. In this paper, we derive the positive integer powers of special tridiagonal matrices of arbitrary order.
Mohammad Beiranvand +1 more
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Determinants of tridiagonal matrices over some commutative finite chain rings
Special MatricesDiagonal matrices and their generalization in terms of tridiagonal matrices have been of interest due to their nice algebraic properties and wide applications.
Jitman Somphong, Sricharoen Yosita
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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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A note on the spectra of tridiagonal matrices [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 Using orthogonal polynomials, we give a different approach to some recent results on tridiagonal matrices.
C. M. da Fonseca, J. Petronilho
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Tridiagonal Matrices and Boundary Conditions [PDF]
SIAM Journal on Matrix Analysis and Applications, 2016 13 pages, 4 ...
J. J. P. Veerman, David K. Hammond
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On the connection between tridiagonal matrices, Chebyshev polynomials, and Fibonacci numbers
Acta Universitatis Sapientiae: Mathematica, 2020 In this note, we recall several connections between the determinant of some tridiagonal matrices and the orthogonal polynomials allowing the relation between Chebyshev polynomials of second kind and Fibonacci numbers.
da Fonseca Carlos M.
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Computing the Eigenvectors of Nonsymmetric Tridiagonal Matrices
Computational Mathematics and Mathematical Physics, 2021 The computation of the eigenvalue decomposition of matrices is one of the most investigated problems in numerical linear algebra. In particular, real nonsymmetric tridiagonal eigenvalue problems arise in a variety of applications. In this paper the problem of computing an eigenvector corresponding to a known eigenvalue of a real nonsymmetric ...
Laudadio T, Mastronardi N, Van Dooren P
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