Results 21 to 30 of about 44 (44)

Bidiagonalization of (k, k + 1)-tridiagonal matrices

open access: yesSpecial Matrices, 2019
In this paper,we present the bidiagonalization of n-by-n (k, k+1)-tridiagonal matriceswhen n < 2k. Moreover,we show that the determinant of an n-by-n (k, k+1)-tridiagonal matrix is the product of the diagonal elements and the eigenvalues of the matrix ...
Takahira S., Sogabe T., Usuda T.S.
doaj   +1 more source

Block diagonalization of (p, q)-tridiagonal matrices

open access: yesSpecial Matrices
In this article, we study the block diagonalization of (p,q)\left(p,q)-tridiagonal matrices and derive closed-form expressions for the number and structure of diagonal blocks as functions of the parameters pp, qq, and nn. This reduction enables efficient
Manjunath Hariprasad
doaj   +1 more source

Eigenpairs of adjacency matrices of balanced signed graphs

open access: yesSpecial Matrices
In this article, we study eigenvalues λ\lambda and their associated eigenvectors xx of the adjacency matrices AA of balanced signed graphs. Balanced signed graphs were first introduced and studied by Harary to handle a problem in social psychology ...
Chen Mei-Qin
doaj   +1 more source

Test matrices with specified eigenpairs for the symmetric positive definite generalized eigenvalue problem

open access: yesSpecial Matrices
The generalized eigenvalue problem is a significant topic with numerous applications in scientific and technological computing. Therefore, verifying the reliability of the results produced by numerical solvers is crucial.
Ozaki Katsuhisa, Terao Takeshi
doaj   +1 more source

Geršhgorin-type theorems for Z1-eigenvalues of tensors with applications

open access: yesDemonstratio Mathematica
In this article, we present several Geršhgorin-type theorems for Z1{Z}_{1}-eigenvalues of tensors, which improve the results provided by Wang et al. (Some upper bounds on Zt{Z}_{t}-eigenvalues of tensors, Appl. Math. Comput.
Shen Xiaowei   +3 more
doaj   +1 more source

COVID-19 pandemic and lockdown: what has changed in common home accidents such as foreign bodies and corrosive injuries? [PDF]

open access: yesPediatr Surg Int, 2022
Balcı Ö   +8 more
europepmc   +1 more source

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