| 一些结构线性系统的SBE与P-SBE的比较 |
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| 引用本文： | 刘新国,刘丹.一些结构线性系统的SBE与P-SBE的比较[J].计算数学,2008,30(3):225-234. |
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| 作者姓名： | 刘新国 刘丹 |
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| 作者单位： | 中国海洋大学数学系,山东青岛,266071 |
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| 基金项目： | 国家高技术研究发展计划(863计划) |
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| 摘 要： | 很多重要的结构矩阵都属于Rn或Cn上纯量积定义的Jordan代数J或者是Lie代数L.本文比较线性系统AX=B关于近似解的范数型结构向后误差(SBE)与偏结构向后误差(P-SBE).这里系数矩阵A∈J或A∈L.在给出若干预备性结果后,先对单右端项情形比较SBE与P-SBE,然后对多右端项情形比较.部分结果是Sun近期的一些结果的推广.
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| 关 键 词： | 结构线性系统 结构向后误差 偏结构向后误差 |
COMPARING SBE WITH P-SBE FOR CERTAIN STRUCTURED LINEAR SYSTEMS |
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| Liu Xinguo,Liu Dan.COMPARING SBE WITH P-SBE FOR CERTAIN STRUCTURED LINEAR SYSTEMS[J].Mathematica Numerica Sinica,2008,30(3):225-234. |
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| Authors: | Liu Xinguo Liu Dan |
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| Institution: | Department of Mathematics, Ocean University of China, Qingdao 266071, Shandong, China |
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| Abstract: | Many important structured matrices belong to the Jordan algebra J or the Lie algebra L, defined by scalar product in R~n or C~n.In this paper,the comparison of normwise structured backward errors (SBE) with partial structured backward errors (P-SBE) with respect to the approximate solution of linear system AX=B are considered.Here the coefficient matrix A satisfies A∈J or A∈L.After giving some preliminary results,we first compare SBE with P-SBE in case of single right-hand side,then multiple right-hand sides.Some results proved by Sun are generalized. |
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| Keywords: | structured linear systems structured backward errors partial structured backward errors |
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