Results 81 to 90 of about 23,326 (218)
Behavior of Salt Transport in Concrete Structures Under Temperature and Moisture Gradients
Modelling and Simulation in Engineering, Volume 2025, Issue 1, 2025.Concrete is one of the materials most widely used in building construction. The deterioration of foundations and load‐bearing structures can cause economic and environmental damage to such building types. Concrete degradation can occur in several ways due to mechanical stresses, climatic changes, and chemical attacks, such as the migration of salts ...
Rhayssa M. M. Ribas +3 more
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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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A rational‐Chebyshev projection method for nonlinear eigenvalue problems
Numerical Linear Algebra with Applications, Volume 31, Issue 6, December 2024.Abstract This article describes a projection method based on a combination of rational and polynomial approximations for efficiently solving large nonlinear eigenvalue problems. In a first stage the nonlinear matrix function T(λ)$$ T\left(\lambda \right) $$ under consideration is approximated by a matrix polynomial in λ$$ \lambda $$.
Ziyuan Tang, Yousef Saad
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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
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
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The eigenproblem of a tridiagonal 2-Toeplitz matrix
Linear Algebra and its Applications, 1994 AbstractThe characteristic polynomial of a tridiagonal 2-Toeplitz matrix is shown to be closely connected to polynomials which satisfy the three point Chebyshev recurrence relationship. This is an extension of the well-known result for a tridiagonal Toeplitz matrix.
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A new Legendre polynomial approach for computing the matrix exponential action on a vector
PAMM, Volume 24, Issue 4, December 2024.Abstract We propose a new approach for computing the action of the matrix exponential over a vector. The approach is based on a Legendre polynomial expansion in the framework of the so‐called ★$\star$‐product solution to ODEs. The new approach can be combined with Krylov subspace methods.
Stefano Pozza, Shazma Zahid
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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
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Perturbation in eigenvalues of a symmetric tridiagonal matrix
Linear Algebra and its Applications, 2005 AbstractWe study the eigenvalue perturbations of an n×n real unreduced symmetric tridiagonal matrix T when one of the off-diagonal element is replaced by zero. We provide both the lower and upper perturbation bounds for every eigenvalue of T. The bounds are described by the jth off-diagonal element (the one that is replaced), and the eigenvalues and ...
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Matrix Transformations and Quasi-Newton Methods
International 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
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