Convergence on successive over-relaxed iterative methods for non-Hermitian positive definite linear systems
被引:1
|
作者:
Zhang, Cheng-yi
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机构:
Xian Polytech Univ, Sch Sci, Xian 710048, Shaanxi, Peoples R ChinaXian Polytech Univ, Sch Sci, Xian 710048, Shaanxi, Peoples R China
Zhang, Cheng-yi
[1
]
Miao, Guangyan
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机构:
Heze Vocat Coll, Dept Informat Engn, Heze 274000, Shandong, Peoples R ChinaXian Polytech Univ, Sch Sci, Xian 710048, Shaanxi, Peoples R China
Miao, Guangyan
[2
]
Zhu, Yan
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机构:
Qujing Normal Univ, Coll Math & Informat Sci, Qujing 655011, Yunnan, Peoples R ChinaXian Polytech Univ, Sch Sci, Xian 710048, Shaanxi, Peoples R China
Zhu, Yan
[3
]
机构:
[1] Xian Polytech Univ, Sch Sci, Xian 710048, Shaanxi, Peoples R China
[2] Heze Vocat Coll, Dept Informat Engn, Heze 274000, Shandong, Peoples R China
[3] Qujing Normal Univ, Coll Math & Informat Sci, Qujing 655011, Yunnan, Peoples R China
SOR iterative method;
SSOR iterative method;
non-Hermitian positive definite linear system;
convergence;
SPLITTING METHODS;
D O I:
10.1186/s13660-016-1100-6
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
Some convergence conditions on successive over-relaxed (SOR) iterative method and symmetric SOR (SSOR) iterative method are proposed for non-Hermitian positive definite linear systems. Some examples are given to demonstrate the results obtained.
机构:
Jiaxing Univ, Coll Data Sci, Jiaxing 314001, Zhejiang, Peoples R ChinaJiaxing Univ, Coll Data Sci, Jiaxing 314001, Zhejiang, Peoples R China
Li, Rui
Yin, Jun-Feng
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机构:
Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R ChinaJiaxing Univ, Coll Data Sci, Jiaxing 314001, Zhejiang, Peoples R China
Yin, Jun-Feng
Li, Zhi-Lin
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机构:
North Carolina State Univ, Ctr Res Sci Computat, Raleigh, NC 27695 USA
North Carolina State Univ, Dept Math, Raleigh, NC 27695 USAJiaxing Univ, Coll Data Sci, Jiaxing 314001, Zhejiang, Peoples R China
机构:
Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China
Nanjing Normal Univ, Sch Math & Comp Sci, Dept Computat Math, Nanjing, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China
Wang, Li
Bai, Zhong-Zhi
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机构:
Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China
机构:
Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, POB 2719, Beijing 100190, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, POB 2719, Beijing 100190, Peoples R China