|
OALib Journal期刊
ISSN: 2333-9721
费用：99美元
|
|
|
|
2-循环相容次序阵的aor迭代的收敛域
, PP. 1-5
Keywords: 2-循环相容次序阵,aor迭代阵,收敛域,最优参数,渐近收敛因子
Abstract:
设a∈cn×n是2-循环相容次序阵,其jacobi阵j的非零特征值均为纯虚数.记α=ρ(j).本文证明了a的aor迭代阵lr,ω(约定ω>0,r≠0)收敛当且仅当参数ω,r满足条件0<ω<21+α2,ω+ωα-22-α22,r≠0,0<ω<21++rαα22,其中rb=1+21+α2.这一结果纠正了薛秋芳文给出的相应结果,并指出了其中的3个问题.
| [1] | 胡家赣.线性代数方程组的迭代解法[m].北京:科学出版社,1991.
|
| [2] | 陈永林.亏秩线性最小二乘问题的aor法的半收敛性[j].南京师大学报:自然科学版,2005,28(4):1-7.
|
| [3] | millerva,neumannm.successiveoverrelaxationmethodsforsolvingtherankdeficientlinearleastsquaresproblem[j].linearalgebraapp,l1987,88/89:533-557.
|
| [4] | hadjidimosa,plemmonsrj.optimalp-cyclicsor[j].numermath,1994,67:475-490.
|
| [5] | 薛秋芳.一类矩阵的aor迭代收敛性分析及其与sor迭代的比较[j].高校计算数学学报,2006,28(1):39-49.
|
| [6] | markhamtl,neumannm,plemmonsrj.convergenceofadirectiterativemethodforlarge-scaleleastsquaresproblems[j].linearalgebraapp,l1985,69:155-167.
|
| [7] | chenx,chenyl.anecessaryandsufficientconditionforsemiconvergenceandoptimalparametersofthessormethodforsolvingtherankdeficientlinearleastsquaresproblem[j].applmathcomput,2006,182:1108-1126.
|
| [8] | tianhong-jun.acceleratedoverrelaxationmethodsforrankdeficientlinearsystems[j].applmathcomput,2003,
|
| [9] | 140(2/3):39-49.
|
Full-Text
|
|
Contact Us
service@oalib.com QQ:3279437679 
WhatsApp +8615387084133
|
|
