Results 91 to 100 of about 22,900 (243)

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

AIP 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
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The Upper Bound for GMRES on Normal Tridiagonal Toeplitz Linear System

Journal 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  

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

Journal 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

Explicit inverse of tridiagonal matrix with applications in autoregressive modeling [PDF]

, 2018
Linda S. L. Tan
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Some comments on quasi-birth-and-death processes and matrix measures [PDF]

In this paper we explore the relation between matrix measures and Quasi-Birth-and-Death processes. We derive an integral representation of the transition function in terms of a matrix valued spectral measure and corresponding orthogonal matrix ...
Dette, Holger, Reuther, Bettina
core  

Matrix measures and random walks [PDF]

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 ...
Dette, Holger, Reuther, Bettina, Studden, W. J., Zygmunt, M.   +3 more
core  

Explicit spectrum of a circulant-tridiagonal matrix with applications

AIP Conference Proceedings, 2019
We consider a circulant-tridiagonal matrix and compute its determinant by using generating function method. Then we explicitly determine its spectrum. Finally we present applications of our results for trigonometric factorizations of the generalized Fibonacci and Lucas sequences.
Kilic E., Yalciner A.
openaire   +3 more sources

Singular matrices possessing the triangle property

Special Matrices
It is known that the inverse of an invertible real square matrix satisfying the triangle property is a tridiagonal matrix. In this note, results that may be considered as analogues of this assertion are obtained for the Moore-Penrose inverse and the ...
Priya K. Kranthi, Sivakumar K. C.
doaj   +1 more source

An Algorithm to Construct a Tridiagonal Matrix Factored by Bidiagonal Matrices with Prescribed Eigenvalues and Specified Entries

Journal of Mathematical and Fundamental Sciences
This paper presents an algorithm to construct a tridiagonal matrix factored by bidiagonal matrices with prescribed eigenvalues and specified matrix entries.
Koichi Kondo
doaj   +1 more source

Self-dual Leonard pairs

Special Matrices, 2019
Let F denote a field and let V denote a vector space over F with finite positive dimension. Consider a pair A, A* of diagonalizable F-linear maps on V, each of which acts on an eigenbasis for the other one in an irreducible tridiagonal fashion.
Nomura Kazumasa, Terwilliger Paul
doaj   +1 more source