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2005•Journal of Jiamusi UniversityRequires access

Upper Bound Estimation of Spectral Radius of Some Iterative Matrices

Yang Hong

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Abstract

For solving the linear system with the iterative method,it is very important to estimate the spectral radius of the iterative matrices and give the convergence analysis.In this paper we present estimates for upper bounds of the spectral radius of the iteration matrix of SOR for a kind of α-diagonally dominant matrix.The bounds of the spectral radius of the iteration matrix of Gauss-Seidel and AOR are also presented.

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What this paper is about

For solving the linear system with the iterative method,it is very important to estimate the spectral radius of the iterative matrices and give the convergence analysis.In this paper we present estimates for upper bounds of the spectral radius of the iteration matrix of SOR for a kind of α-diagonally dominant matrix.The bounds of the spectral radius of the iteration matrix of Gauss-Seidel and AOR are also presented.

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Available abstract

For solving the linear system with the iterative method,it is very important to estimate the spectral radius of the iterative matrices and give the convergence analysis.In this paper we present estimates for upper bounds of the spectral radius of the iteration matrix of SOR for a kind of α-diagonally dominant matrix.The bounds of the spectral radius of the iteration matrix of Gauss-Seidel and AOR are also presented.

Key concepts: Spectral radius, Mathematics, Iterative method, Diagonally dominant matrix, Upper and lower bounds, Matrix (chemical analysis), Convergence (economics), RADIUS

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