英文论文
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文献类型
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Journal article (JA)
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题名
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Structured condition number for multiple right-hand side linear systems with parameterized quasiseparable coefficient matrix
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作者
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Meng, Qingle; Diao, Huaian; Yu, Qinghua
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作者单位
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[Meng, Qingle] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China. [Diao, Huaian; Yu, Qinghua] Northeast Normal Univ, Sch Math & Stat, 5268 Renmin St, Changchun 130024, Jilin, Peoples R China.
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通讯作者地址
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Northeast Normal Univ, Sch Math & Stat, 5268 Renmin St, Changchun 130024, Jilin, Peoples R China.
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Email
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qinglemeng@yahoo.com; hadiao@nenu.edu.cn; 17854103330@163.com
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ResearchID
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ORCID
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期刊名称
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Journal of Computational and Applied Mathematics
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出版社
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Elsevier B.V.
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ISSN
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0377-0427
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出版信息
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2020-04, 368:-.
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JCR
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2
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影响因子
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2.621
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ISBN
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基金
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Fundamental Research Funds for the Central Universities, ChinaFundamental Research Funds for the Central Universities [2412017FZ007]
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会议名称
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会议地点
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会议开始日期
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会议结束日期
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关键词
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Linear systems; Number theory
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摘要
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In this paper, we consider the structured perturbation analysis for multiple right-hand side linear systems with parameterized coefficient matrix. Especially, we present the explicit expressions for structured condition numbers for multiple right-hand sides linear systems with {1;1)-quasiseparable coefficient matrix in the quasiseparable and the Givens-vector representations. In addition, the comparisons of these two condition numbers between themselves, and with respect to unstructured condition number are investigated. Moreover, the effective structured condition number for multiple righthand sides linear systems with {1;1)-quasiseparable coefficient matrix is proposed. The relationships between the effective structured condition number and structured condition numbers with respect to the quasiseparable and the Givens-vector representations are also studied. Numerical experiments show that there are situations in which the effective structured condition number can be much smaller than the unstructured ones. (C) 2019 Elsevier B.V. All rights reserved.
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一级学科
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Mathematics, Applied
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WOS入藏号
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WOS:000504504900015
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EI收录号
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20194107522807
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DOI
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10.1016/j.cam.2019.112527
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ESI
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MATHEMATICS
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收录于
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SCIE, EI
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