Results 81 to 90 of about 1,655,330 (212)

On computing integer powers of tridiagonal matrix [PDF]

open access: yes, 2010
Bu tezde belli bir tipteki üçlü bant ve anti pentadiagonal matrislerin kuvvetlerinin genel ifadesi elde edilmiştir. Üçlü bant matrisin kuvvetinin genel ifadesi dönüşüm formülü kullanılarak elde edilmiştir.
Kıyak, Hümeyra
core  

Polynomial sequences generated by infinite Hessenberg matrices

open access: yesSpecial Matrices, 2017
We show that an infinite lower Hessenberg matrix generates polynomial sequences that correspond to the rows of infinite lower triangular invertible matrices. Orthogonal polynomial sequences are obtained when the Hessenberg matrix is tridiagonal. We study
Verde-Star Luis
doaj   +1 more source

Tridiagonal matrix representations of cyclic selfadjoint operators [PDF]

open access: yesPacific Journal of Mathematics, 1984
A bounded cyclic self-adjoint operator C defined on a separable Hilbert space H can be represented as a tridiagonal matrix with respect to the basis generated by a cyclic vector, in such a way that the subdiagonal matrix entries are positive. An operator J can then be defined so that \(CJ-JC=-2iK\) where K also has a tridiagonal matrix representation ...
openaire   +7 more sources

The Upper Bound for GMRES on Normal Tridiagonal Toeplitz Linear System

open access: yesJournal of Mathematical Extension, 2015
The Generalized Minimal Residual method (GMRES) is often used to solve a large and sparse system Ax = b. This paper establishes error bound for residuals of GMRES on solving an N × N normal tridiagonal Toeplitz linear system.
R. Doostaki∗, A. Hadian, S. Azizi
doaj  

Matrix measures and random walks [PDF]

open access: yes
In this paper we study the connection between matrix measures and random walks with a tridiagonal block transition matrix. We derive sufficient conditions such that the blocks of the n-step transition matrix of the Markov chain can be represented as ...
Zygmunt, M.   +3 more
core  

Approximating Eigenvalues of a Class of Perturbed Tridiagonal Systems

open access: yesMathematics
We study a class of perturbed tridiagonal problems in the form of a rank-one update of a symmetric tridiagonal Toeplitz matrix. We derive computable formulas for up to eighth-order polynomial approximations or closed formulas for quartic approximation ...
Christos Chorianopoulos   +1 more
doaj   +1 more source

Sylvester-Tridiagonal Matrix With Alternating Main Diagonal Entries and Its Spectra

open access: yes, 2013
Recently some generalizations of Sylvester type tridiagonal matrices have been considered with their spectra. We introduce a new kind generalization of Sylvester type tridiagonal matrix by considering its main diagonal entries.
Kılıç, Emrah
core   +1 more source

Band gap engineering in finite elongated graphene nanoribbon heterojunctions: Tight-binding model

open access: yesAIP Advances, 2015
A simple model based on the divide and conquer rule and tight-binding (TB) approximation is employed for studying the role of finite size effect on the electronic properties of elongated graphene nanoribbon (GNR) heterojunctions.
Benjamin O. Tayo
doaj   +1 more source

Accurate polynomial root-finding methods for symmetric tridiagonal matrix eigenproblems [PDF]

open access: yes, 2016
In this paper we consider the application of polynomial root-finding methods to the solution of the tridiagonal matrix eigenproblem. All considered solvers are based on evaluating the Newton correction.
GEMIGNANI, LUCA
core   +1 more source

Invariant Regions and Global Existence of Solutions for Reaction-Diffusion Systems with a Tridiagonal Matrix of Diffusion Coefficients and Nonhomogeneous Boundary Conditions

open access: yesJournal of Applied Mathematics, 2007
The purpose of this paper is the construction of invariant regions in which we establish the global existence of solutions for reaction-diffusion systems (three equations) with a tridiagonal matrix of diffusion coefficients and with nonhomogeneous ...
Abdelmalek Salem
doaj   +1 more source

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