Results 21 to 30 of about 442,498 (206)
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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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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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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From superintegrability to tridiagonal representation of β-ensembles
Physics Letters B, 2022 The wonderful formulas by I. Dumitriu and A. Edelman [1,2] rewrite β-ensemble, with eigenvalue integrals containing Vandermonde factors in the power 2β, through integrals over tridiagonal matrices, where β-dependent are the powers of individual matrix ...
A. Mironov, A. Morozov, A. Popolitov
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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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An algorithm for complex factorization of the bi-periodic Fibonacci and Lucas polynomials [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we consider the factorization of generalized sequences, by employing a method based on trigonometric identities. The new method is of reduced complexity and represents an improvement compared to existing results.
Baijuan Shi, Can Kızılateş
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Convergence of GMRES for Tridiagonal Toeplitz Matrices [PDF]
SIAM Journal on Matrix Analysis and Applications, 2004 We analyze the residuals of GMRES [Y. Saad and M. H. Schultz, SIAM J. Sci. Statist. Comput., 7 (1986), pp. 856--859], when the method is applied totridiagonal Toeplitz matrices. We first derive formulas for the residuals as well as their norms when GMRES is applied to scaled Jordan blocks.
Jörg Liesen, Zdenek Strakos
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Fine Spectra of Symmetric Toeplitz Operators
Abstract and Applied Analysis, 2012 The fine spectra of 2-banded and 3-banded infinite Toeplitz matrices were examined by several authors. The fine spectra of n-banded triangular Toeplitz matrices and tridiagonal symmetric matrices were computed in the following papers: Altun, “On the fine
Muhammed Altun
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Determinants and inverses of perturbed periodic tridiagonal Toeplitz matrices
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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