Results 1 to 10 of about 442,498 (206)

A note on the spectra of tridiagonal matrices [PDF]

open access: yesInternational 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
doaj   +5 more sources

Fine Spectra of Tridiagonal Symmetric Matrices [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
The fine spectra of upper and lower triangular banded matrices were examined by several authors. Here we determine the fine spectra of tridiagonal symmetric infinite matrices and also give the explicit form of the resolvent operator for the sequence ...
Muhammed Altun
doaj   +5 more sources

The bi-periodic Horadam sequence and some perturbed tridiagonal 2-Toeplitz matrices: A unified approach [PDF]

open access: yesHeliyon, 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
doaj   +2 more sources

Tridiagonal Matrices and Boundary Conditions [PDF]

open access: yesSIAM Journal on Matrix Analysis and Applications, 2016
We describe the spectra of certain tridiagonal matrices arising from differential equations commonly used for modeling flocking behavior. In particular we consider systems resulting from allowing an arbitrary boundary condition for the end of a one-dimensional flock.
Veerman, J. J. P., Hammond, David K.
openaire   +5 more sources

Inversion of General Tridiagonal Matrices

open access: yesApplied Mathematics Letters, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdelrahman Karawia, Moawwad El-Mikkawy
exaly   +2 more sources

Inverse Eigenvalue Problems of Tridiagonal Symmetric Matrices and Tridiagonal Bisymmetric Matrices

open access: yesComputers and Mathematics With Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anping Liao, Yuan Lei
exaly   +4 more sources

Orthogonal diagonalization for complex skew-persymmetric anti-tridiagonal Hankel matrices

open access: yesSpecial Matrices, 2016
In this paper, we obtain an eigenvalue decomposition for any complex skew-persymmetric anti-tridiagonal Hankel matrix where the eigenvector matrix is orthogonal.
Gutiérrez-Gutiérrez Jesús   +1 more
doaj   +3 more sources

Tridiagonalizing random matrices

open access: yesPhysical Review D, 2023
The Hungarian physicist Eugene Wigner introduced random matrix models in physics to describe the energy spectra of atomic nuclei. As such, the main goal of random matrix theory (RMT) has been to derive the eigenvalue statistics of matrices drawn from a given distribution.
Vijay Balasubramanian   +2 more
openaire   +2 more sources

A Fast Algorithm for the Eigenvalue Bounds of a Class of Symmetric Tridiagonal Interval Matrices

open access: yesAppliedMath, 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
doaj   +1 more source

Symbolic Algorithm for Inverting General k-Tridiagonal Interval Matrices

open access: yesInternational 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
doaj   +1 more source

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