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Convergence Region for the AOR Iteration Matrix of an 2-Cyclic Consistently Ordered Matrix(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2007年03期
Page:
1-5
Research Field:
数学
Publishing date:

Info

Title:
Convergence Region for the AOR Iteration Matrix of an 2-Cyclic Consistently Ordered Matrix
Author(s):
Chen Yonglin
School of Mathematics and Computer Science,Nanjing Normal University,Nanjing 210097,China
Keywords:
2-cyclic consistently o rdered m atrix;  AOR iteration m atrix;  convergence reg ion;  optim al pa ra eter;  asym ptotic conv ergence factor
PACS:
O241.6
DOI:
-
Abstract:
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References:

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[ 3]  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.
[ 4]  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.
[ 5]  M a rkham T L, Neum annM, Plemmons R J. Convergence o f a d irectite rative me thod for large-scale least squares prob lem s [ J] . L inearA lgeb ra App,l 1985, 69: 155-167.
[ 6]  M illerV A, Neum annM. Successive overre laxation m ethods fo r so lv ing the rank defic ient linear least squares prob lem [ J]. Linear A lgebra App,l 1987, 88 /89: 533-557.
[ 7]  Chen X, Chen Y L. A necessary and suffic ient condition for sem iconvergence and optim a l param eters of the SSOR m ethod for so lv ing the rank defic ient linear least squa res prob lem [ J]. ApplM ath Com put, 2006, 182: 1 108-1 126.
[ 8]  Tian H ong-jun. Accelerated overrelaxation m ethods fo r rank deficient linear sy stem s [ J] . Appl M ath Comput, 2003,
140( 2 /3): 39-49.

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Last Update: 2013-05-05