Results 121 to 130 of about 475,064 (272)
Chain models and the spectra of tridiagonal k-Toeplitz matrices
, 2017 Chain models can be represented by a tridiagonal matrix with periodic entries along its diagonals. Eigenmodes of open chains are represented by spectra of such tridiagonal $k$-Toeplitz matrices, where $k$ represents length of the repeated unit, allowing ...
M., Hariprasad, Venkatapathi, Murugesan
core
Non-Toeplitz decay bounds for inverses of Hermitian positive definite tridiagonal matrices
, 2018 It is well known that the entries of the inverse of a Hermitian positive definite, banded matrix exhibit a decay away from the main diagonal if the condition number of the matrix is not too large compared to the matrix size. There is a rich literature on
A. Frommer +2 more
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Journal of Mathematical Chemistry, 2017 Extensions have been developed, of several variants of the stride of two cyclic reduction method. The extensions refer to quasi-tridiagonal linear equation systems involving two additional nonzero elements in the first and last rows of the equation ...
L. Bieniasz
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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
doaj
On the propagation of errors in the inversion of certain tridiagonal matrices [PDF]
, 1960 Arnold N. Lowan
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Eigenvalues of complex tridiagonal matrices [PDF]
Proceedings of the Edinburgh Mathematical Society, 1971 Results of Arscott (1) and Jayne (3) on real matrices are generalized to obtain bounds for the real parts of the eigenvalues of certain complex tridiagonal matrices, and bounds for the imaginary parts of the eigenvalues of other tridiagonal matrices are given.
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The stability of LU-decompositions of block tridiagonal matrices [PDF]
, 1984 R.M.M. Mattheij
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Orthogonal rational functions and tridiagonal matrices
Journal of Computational and Applied Mathematics, 2003 AbstractWe study the recurrence relation for rational functions whose poles are in a prescribed sequence of numbers that are real or infinite and that are orthogonal with respect to an Hermitian positive linear functional. We especially discuss the interplay between finite and infinite poles. The recurrence relation will also be described in terms of a
Bultheel, A. +3 more
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Horadam sequence through recurrent determinants of tridiagonal matrices
, 2018 is called a triangular matrix, and the number n is called its order . Note that a matrix thus defined is not a matrix in the standard sense, because it is a triangular, rather than a rectangular, table of numbers. The functions of triangular matrices are
Taras Goy
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