Articles


Document Type
Journal article (JA)
Title
Structured condition number for multiple right-hand side linear systems with parameterized quasiseparable coefficient matrix
Author
Meng, Qingle (1); Diao, Huaian (2); Yu, Qinghua (2)
作者单位
(1) School of Mathematical Sciences, Xiamen University, Xiamen; 361005, China (2) School of Mathematics and Statistics, Northeast Normal University, No. 5268 Renmin Street, Chang Chun; 130024, China
RPAddress
Northeast Normal Univ, Sch Math & Stat, 5268 Renmin St, Changchun 130024, Jilin, Peoples R China.
Email
ResearchID
ORCID
Journal
Journal of Computational and Applied Mathematics
Publisher
Elsevier B.V.
ISSN
0377-0427
Published
2020-04, 368:-.
JCR
ImpactFactor
ISBN
Fund_Code
Fundamental Research Funds for the Central Universities, ChinaFundamental Research Funds for the Central Universities [2412017FZ007]
会议名称
会议地点
会议开始日期
会议结束日期
HYLWLB
HYJB
Keywords
Linear systems; Number theory
Abstract
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 right-hand 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. ? 2019 Elsevier B.V.
WOS Categories
Mathematics, Applied
Accession Number
WOS:000504504900015
EI收录号
20194107522807
DOI
10.1016/j.cam.2019.112527
ESI_Type
MATHEMATICS
Collection
SCIE, EI

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