Results 11 to 20 of about 21,805 (233)
XAMG: A library for solving linear systems with multiple right-hand side vectors
SoftwareX, 2021 This paper presents the XAMG library for solving large sparse systems of linear algebraic equations with multiple right-hand side vectors. The library specializes, but is not limited, to the solution of linear systems obtained from the discretization of ...
Boris Krasnopolsky, Alexey Medvedev
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Alexandria Engineering Journal, 2021 This paper contributes to develop a highly accurate numerical method for solving two-dimensional mass transfer equations during convective air drying of apple slices.
Yin Yang +4 more
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Iterative solution of shifted positive-definite linear systems arising in a numerical method for the heat equation based on Laplace transformation and quadrature [PDF]
ANZIAM Journal, 2011 AbstractIn earlier work we have studied a method for discretization in time of a parabolic problem, which consists of representing the exact solution as an integral in the complex plane and then applying a quadrature formula to this integral. In application to a spatially semidiscrete finite-element version of the parabolic problem, at each quadrature ...
Mclean, William, Thomée, Vidar
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A convergence analysis of SOR iterative methods for linear systems with weak H-matrices
Open Mathematics, 2016 It is well known that SOR iterative methods are convergent for linear systems, whose coefficient matrices are strictly or irreducibly diagonally dominant matrices and strong H-matrices (whose comparison matrices are nonsingular M-matrices).
Zhang Cheng-yi +2 more
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Journal of Computational and Applied Mathematics, 2015 The paper studies the convergence of some parallel multisplitting block iterative methods for the solution of linear systems arising in the numerical solution of Euler equations. Some sufficient conditions for convergence are proposed. As special cases the convergence of the parallel block generalized AOR (BGAOR), the parallel block AOR (BAOR), the ...
Cheng-Yi Zhang +2 more
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Two Iterative Methods for Solving Linear Interval Systems
Applied Computational Intelligence and Soft Computing, 2018 Conjugate gradient is an iterative method that solves a linear system Ax=b, where A is a positive definite matrix. We present this new iterative method for solving linear interval systems Ãx̃=b̃, where à is a diagonally dominant interval matrix, as ...
Esmaeil Siahlooei +1 more
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Comments on new iterative methods for solving linear systems
上海师范大学学报. 自然科学版, 2017 Some new iterative methods were presented by Du, Zheng and Wang for solving linear systems in [3], where it is shown that the new methods, comparing to the classical Jacobi or Gauss-Seidel method, can be applied to more systems and have faster ...
Wang Ke, Tan Lijun, Wang Shiheng
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New SOR-like methods for solving the Sylvester equation
Open Mathematics, 2014 We present new iterative methods for solving the Sylvester equation belonging to the class of SOR-like methods, based on the SOR (Successive Over-Relaxation) method for solving linear systems.
Kierzkowski Jakub
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On the application of Liao’s method for solving linear systems
Ain Shams Engineering Journal, 2013 In this paper, an analytical attitude is proposed for solving linear systems by Homotopy Analysis Method (HAM). On the basis of HAM we design new iterative methods. The convergence properties of the proposed method have been analyzed.
H. Saberi Najafi, S.A. Edalatpanah
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A Modified SSOR Preconditioning Strategy for Helmholtz Equations
Journal of Applied Mathematics, 2012 The finite difference method discretization of Helmholtz equations usually leads to the large spare linear systems. Since the coefficient matrix is frequently indefinite, it is difficult to solve iteratively.
Shi-Liang Wu, Cui-Xia Li
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