Results 21 to 30 of about 17,645 (222)
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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Spectral representations for a class of banded Jacobi-type matrices [PDF]
Opuscula Mathematica, 2014 We describe some spectral representations for a class of non-self-adjoint banded Jacobi-type matrices. Our results extend those obtained by P.B. Naïman for (two-sided infinite) periodic tridiagonal Jacobi matrices.
Ewelina Zalot, Witold Majdak
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Trends in Computational and Applied Mathematics, 2023 The characterization of inverses of symmetric tridiagonal and block tridiagonal matrices and the development of algorithms for finding the inverse of any general non-singular tridiagonal matrix are subjects that have been studied by many authors.
C. G. Almeida, S. A. E. Remigio
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Tridiagonal doubly stochastic matrices
Linear Algebra and its Applications, 2004 The author studies the facial structure of the tridiagonal Birkhoff polytope \(\Omega^t_n\subset \mathbb R^{n\times n}\) consisting of the tridiagonal doubly stochastic matrices of order \(n\) and its connection with majorization. Some subclasses of \(\Omega^t_n\) are discussed with focus on spectral properties and rank formulae.
Geir Dahl
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Identities and exponential bounds for transfer matrices [PDF]
, 2012 This paper is about analytic properties of single transfer matrices originating from general block-tridiagonal or banded matrices. Such matrices occur in various applications in physics and numerical analysis.
Molinari, Luca G
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The complete positivity of symmetric tridiagonal and pentadiagonal matrices
Special Matrices, 2022 We provide a decomposition that is sufficient in showing when a symmetric tridiagonal matrix AA is completely positive. Our decomposition can be applied to a wide range of matrices.
Cao Lei, McLaren Darian, Plosker Sarah
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Asymptotics of the discrete spectrum for complex Jacobi matrices [PDF]
Opuscula Mathematica, 2014 The spectral properties and the asymptotic behaviour of the discrete spectrum for a special class of infinite tridiagonal matrices are given. We derive the asymptotic formulae for eigenvalues of unbounded complex Jacobi matrices acting in \(l^2(\mathbb{N}
Maria Malejki
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Asymptotic expansion of large eigenvalues for a class of unbounded Jacobi matrices [PDF]
Opuscula Mathematica, 2020 We investigate a class of infinite tridiagonal matrices which define unbounded self-adjoint operators with discrete spectrum. Our purpose is to establish the asymptotic expansion of large eigenvalues and to compute two correction terms explicitly.
Ayoub Harrat +2 more
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Differential qd algorithm with shifts for rank-structured matrices [PDF]
, 2012 Although QR iterations dominate in eigenvalue computations, there are several important cases when alternative LR-type algorithms may be preferable.
Zhlobich, Pavel
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