井冈山大学学报（自然科学版）
井岡山大學學報（自然科學版）
정강산대학학보（자연과학판）
JOURNAL OF JINGGANGSHAN UNIVERSITY(SCIENCE AND TECHNOLOGY)
2013年
1期
17-20
,共4页
GAOR迭代法%AOR迭代法%预条件子%谱半径
GAOR迭代法%AOR迭代法%預條件子%譜半徑
GAOR질대법%AOR질대법%예조건자%보반경
GAOR iterative method%AOR iterative method%preconditioner%spectral radius
解决线性系统Ax=b时,给出预条件子I+Sα的GAOR迭代法,对相应的预条件GAOR迭代法和基本GAOR迭代法的收敛速度进行了比较,得到了比较定理.最后给出数值例子验证了所得到的结论,推广了文[1]的相应结果.
解決線性繫統Ax=b時,給齣預條件子I+Sα的GAOR迭代法,對相應的預條件GAOR迭代法和基本GAOR迭代法的收斂速度進行瞭比較,得到瞭比較定理.最後給齣數值例子驗證瞭所得到的結論,推廣瞭文[1]的相應結果.
해결선성계통Ax=b시,급출예조건자I+Sα적GAOR질대법,대상응적예조건GAOR질대법화기본GAOR질대법적수렴속도진행료비교,득도료비교정리.최후급출수치례자험증료소득도적결론,추엄료문[1]적상응결과.
We propose a preconditioned GAOR iterative method with a preconditioner Pα=I+Sα. T in solving the linear system Ax b= . The convergence speed in the proposed GAOR iterative method and the basic GAOR iterative method are compared. The comparison conclusion is also derived. Finally, a numerical example is given to illustrate the results which promote the literature [1] of the corresponding results.
