计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2014年
8期
11-15
,共5页
定常二级迭代法%外迭代法%不可约矩阵%H-矩阵%谱半径
定常二級迭代法%外迭代法%不可約矩陣%H-矩陣%譜半徑
정상이급질대법%외질대법%불가약구진%H-구진%보반경
stationary two-stage iterative method%outer iterative method%irreducible matrix%H-matrix%spectral radius
研究了定常二级迭代法的收敛性，得到了定常二级迭代法与其外迭代收敛率的比较定理。结果表明外迭代的收敛速度一般快于定常二级迭代法，还给出了H-矩阵迭代法的比较结论。最后，数值例子验证了结论。
研究瞭定常二級迭代法的收斂性，得到瞭定常二級迭代法與其外迭代收斂率的比較定理。結果錶明外迭代的收斂速度一般快于定常二級迭代法，還給齣瞭H-矩陣迭代法的比較結論。最後，數值例子驗證瞭結論。
연구료정상이급질대법적수렴성，득도료정상이급질대법여기외질대수렴솔적비교정리。결과표명외질대적수렴속도일반쾌우정상이급질대법，환급출료H-구진질대법적비교결론。최후，수치례자험증료결론。
In this paper, the convergence rate of stationary two-stage iterative methods is studied. Comparison results about the convergence rate of stationary two-stage iterative methods and their outer iterative methods are obtained. It is shown that the outer iterative methods are faster than the stationary two-stage iterative methods with the mild splittings. For the splittings of H-matrices, comparison results are also gotten. Finally, the obtained results are illustrated by the example.
