Two types of (modified) incomplete block factorization methods are considered, and the existence and convergence of the related splittings are established for H-matrices. This is done by studying in parallel the similar preconditioner for an M-matrix A which satisfies A less-than-or-equal-to M(A). We show also for the M-matrix case somewhat more general results for the type of preconditioners considered than previously found in the literature.
机构:
Xian Polytech Univ, Dept Math & Mech, Sch Sci, Xian 710048, Shaanxi, Peoples R ChinaXian Polytech Univ, Dept Math & Mech, Sch Sci, Xian 710048, Shaanxi, Peoples R China
Zhang, Cheng-Yi
Zhu, Yan
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机构:
Qujing Normal Univ, Coll Math & Informat Sci, Qujing 655011, Yunnan, Peoples R ChinaXian Polytech Univ, Dept Math & Mech, Sch Sci, Xian 710048, Shaanxi, Peoples R China
Zhu, Yan
Luo, Shuanghua
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机构:
Xian Polytech Univ, Dept Math & Mech, Sch Sci, Xian 710048, Shaanxi, Peoples R ChinaXian Polytech Univ, Dept Math & Mech, Sch Sci, Xian 710048, Shaanxi, Peoples R China
Luo, Shuanghua
Li, Jicheng
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机构:
Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Shaanxi, Peoples R ChinaXian Polytech Univ, Dept Math & Mech, Sch Sci, Xian 710048, Shaanxi, Peoples R China
Li, Jicheng
ELECTRONIC JOURNAL OF LINEAR ALGEBRA,
2012,
23
: 801
-
814
机构:
Guizhou Minzu Univ, Coll Data Sci & Informat Engn, Guiyang 550025, Guizhou, Peoples R ChinaGuizhou Minzu Univ, Coll Data Sci & Informat Engn, Guiyang 550025, Guizhou, Peoples R China
Zhao, Jianxing
Liu, Qilong
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机构:
Guizhou Normal Univ, Sch Math Sci, Guiyang 550025, Guizhou, Peoples R ChinaGuizhou Minzu Univ, Coll Data Sci & Informat Engn, Guiyang 550025, Guizhou, Peoples R China
Liu, Qilong
Li, Chaoqian
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机构:
Yunnan Univ, Sch Math & Stat, Kunming 650091, Yunnan, Peoples R ChinaGuizhou Minzu Univ, Coll Data Sci & Informat Engn, Guiyang 550025, Guizhou, Peoples R China
Li, Chaoqian
Li, Yaotang
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机构:
Yunnan Univ, Sch Math & Stat, Kunming 650091, Yunnan, Peoples R ChinaGuizhou Minzu Univ, Coll Data Sci & Informat Engn, Guiyang 550025, Guizhou, Peoples R China