西昌学院学报：自然科学版
西昌學院學報：自然科學版
서창학원학보：자연과학판
Journal of Xichang College
2011年
1期
15-17
,共3页
严格对角占优L-矩阵%预条件迭代法%谱半径%弱正则分裂%收敛速度
嚴格對角佔優L-矩陣%預條件迭代法%譜半徑%弱正則分裂%收斂速度
엄격대각점우L-구진%예조건질대법%보반경%약정칙분렬%수렴속도
Strictly dominant L-matrix%Preconditioned iterative method%Spectral radius%Weak regular splitting%Convergence rate
本文讨论了改进的高斯-赛德尔迭代法的收敛性。在严格对角占优的L-矩阵条件下,该预条件加快了高斯-赛德尔迭代法的收敛速度,而且在该预条件下高斯-赛德尔迭代法的谱半径是单调下降的。最后用数值例子说明本文得出的结论。
本文討論瞭改進的高斯-賽德爾迭代法的收斂性。在嚴格對角佔優的L-矩陣條件下,該預條件加快瞭高斯-賽德爾迭代法的收斂速度,而且在該預條件下高斯-賽德爾迭代法的譜半徑是單調下降的。最後用數值例子說明本文得齣的結論。
본문토론료개진적고사-새덕이질대법적수렴성。재엄격대각점우적L-구진조건하,해예조건가쾌료고사-새덕이질대법적수렴속도,이차재해예조건하고사-새덕이질대법적보반경시단조하강적。최후용수치례자설명본문득출적결론。
In this papert,he convergence analysis for a new preconditioned Gauss-Seidel iterative method was discussed.If the matrix is the strictly dominant L-matrixt,he convergence rate of the preconditioned Gauss-Seidel iterative method is faster than one of the original one.Furthermore,the spectral radius of the reconditioned Gauss-Seidel iterative method is monotonically decreasing.At last,an example was given to confirm the fact that the preconditioned Gauss-Seidel iterative method is better than the original one.
