Results 31 to 40 of about 475,064 (272)

On the construction of real non-selfadjoint tridiagonal matrices with prescribed three spectra [PDF]

open access: bronzeElectronic Transactions on Numerical Analysis, 2019
Non-selfadjoint tridiagonal matrices play a role in the discretization and truncation of the Schrödinger equation in some extensions of quantum mechanics, a research field particularly active in the last two decades.
Wei‐Ru Xu   +2 more
openalex   +2 more sources

On some conjectures regarding tridiagonal matrices

open access: yesJournal of Applied Mathematics and Computational Mechanics, 2018
We discuss several conjectures proposed recently by A.Z. Küçük and M. Düz on the permanent of certain type of tridiagonal matrices. We recall some less known results on tridiagonal matrices and, at the same time, bring other results together to a common ...
Carlos M. da Fonseca
doaj   +2 more sources

On tridiagonal matrices associated with Jordan blocks

open access: yesActa Universitatis Sapientiae: Mathematica, 2022
This paper aims to show how some standard general results can be used to uncover the spectral theory of tridiagonal and related matrices more elegantly and simply than existing approaches.
da Fonseca Carlos M., Kowalenko Victor
doaj   +1 more source

Sufficient Conditions for Existence of the LU Factorization of Toeplitz Symmetric Tridiagonal Matrices

open access: yesTrends 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
doaj   +1 more source

Asymptotic expansion of large eigenvalues for a class of unbounded Jacobi matrices [PDF]

open access: yesOpuscula 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
doaj   +1 more source

Spectral representations for a class of banded Jacobi-type matrices [PDF]

open access: yesOpuscula 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
doaj   +1 more source

Asymptotics of the discrete spectrum for complex Jacobi matrices [PDF]

open access: yesOpuscula 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
doaj   +1 more source

Ultralow-Dimensionality Reduction for Identifying Critical Transitions by Spatial-Temporal PCA. [PDF]

open access: yesAdv Sci (Weinh)
The proposed spatial‐temporal principal component analysis (stPCA) method analytically reduces high‐dimensional time‐series data to a single latent variable by transforming spatial information into temporal dynamics. By preserving the temporal properties of the original data, stPCA effectively identifies critical transitions and tipping points.
Chen P   +6 more
europepmc   +2 more sources

LCD CODES FROM TRIDIAGONAL TOEPLITZ MATRICES [PDF]

open access: greenFinite Fields Their Appl., 2021
Minjia Shi   +3 more
openalex   +3 more sources

Tridiagonal matrices: Invertibility and conditioning [PDF]

open access: yesLinear Algebra and its Applications, 1992
AbstractTridiagonal matrices arise in a large variety of applications. Most of the time they are diagonally dominant, and this is indeed the case most extensively studied. In this paper we study, in a unified approach, the invertibility and the conditioning of such matrices.
BRUGNANO, LUIGI, TRIGIANTE, DONATO
openaire   +1 more source

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