关键词: 迭代法, α-严格对角占优, 谱半径, 收敛性

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 words: Iteration method, α-diagonal strictly dominance, Spectral radius, Convergence