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2008•Journal of Liaoning University of Petroleum & Chemical TechnologyRequires access

Upper Bound of Spectral Radius of Iterative Matrices

Song Dai-cai

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Abstract

According to several iteration methods for solving large linear system,when coefficient matrix is of α-diagonal strictly dominance,a new upper bound for the spectral radius of the iterative matrices was presented.Parameter estimation for JOR method was discussed.Results are applicable not only for α-diagonal strictly dominance,but also for generalized α-diagonal strictly dominant matrices.The known conclusion was improved.Finally,two numerical examples were given for illustrating advantage of results.

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What this paper is about

According to several iteration methods for solving large linear system,when coefficient matrix is of α-diagonal strictly dominance,a new upper bound for the spectral radius of the iterative matrices was presented.Parameter estimation for JOR method was discussed.Results are applicable not only for α-diagonal strictly dominance,but also for generalized α-diagonal strictly dominant matrices.The known conclusion was improved.Finally,two numerical examples were given for illustrating advantage of results.

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Available abstract

According to several iteration methods for solving large linear system,when coefficient matrix is of α-diagonal strictly dominance,a new upper bound for the spectral radius of the iterative matrices was presented.Parameter estimation for JOR method was discussed.Results are applicable not only for α-diagonal strictly dominance,but also for generalized α-diagonal strictly dominant matrices.The known conclusion was improved.Finally,two numerical examples were given for illustrating advantage of results.

Key concepts: Spectral radius, Diagonally dominant matrix, Diagonal, Mathematics, Upper and lower bounds, Iterative method, Dominance (genetics), Applied mathematics

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