Results 101 to 110 of about 22,900 (243)

On the spectrum of tridiagonal matrices with two-periodic main diagonal

open access: yesSpecial Matrices
We find the spectrum and eigenvectors of an arbitrary irreducible complex tridiagonal matrix with two-periodic main diagonal. This is expressed in terms of the spectrum and eigenvectors of the matrix with the same sub- and superdiagonals and zero main ...
Dyachenko Alexander, Tyaglov Mikhail
doaj   +1 more source

Matrix Transformations and Quasi-Newton Methods

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
We first recall some properties of infinite tridiagonal matrices considered as matrix transformations in sequence spaces of the forms sξ, sξ∘, sξ(c), or lp(ξ).
Boubakeur Benahmed   +2 more
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

Complex Factorizations of the Lucas Sequences via Matrix Methods

open access: yesJournal of Applied Mathematics, 2014
Firstly, we show a connection between the first Lucas sequence and the determinants of some tridiagonal matrices. Secondly, we derive the complex factorizations of the first Lucas sequence by computing those determinants with the help of Chebyshev ...
Honglin Wu
doaj   +1 more source

Tridiagonal Symmetries of Models of Nonequilibrium Physics

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
We study the boundary symmetries of models of nonequilibrium physics where the steady state behaviour strongly depends on the boundary rates. Within the matrix product state approach to many-body systems the physics is described in terms of matrices ...
Boyka Aneva
doaj   +1 more source

Decomposition method for block-tridiagonal matrix systems

open access: yes, 2015
24 pages, 14 ...
Belov, P. A.   +2 more
openaire   +2 more sources

Symmetric Tridiagonal Eigenvalue Solver Across CPU Graphics Processing Unit (GPU) Nodes

open access: yesApplied Sciences
In this work, an improved and scalable implementation of Cuppen’s algorithm for diagonalizing symmetric tridiagonal matrices is presented. This approach uses a hybrid-heterogeneous parallelization technique, taking advantage of GPU and CPU in a ...
Erika Hernández-Rubio   +5 more
doaj   +1 more source

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