| 关于一类结构线性方程组 |
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| 引用本文： | 刘新国,王辉.关于一类结构线性方程组[J].中国海洋大学学报(自然科学版),1997(1). |
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| 作者姓名： | 刘新国 王辉 |
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| 作者单位： | 青岛海洋大学应用数学系(刘新国)，海军潜艇学院(王辉) |
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| 摘 要： | 针对从最优化方法、最佳求积公式设计、最小二乘问题求解中导出的一类结构线性代数方程组，首先给出广义奇异值分解分析，然后提出三种求解方案，最后对加权ＱＲ分解的理论性质给出讨论，为进一步研究打下基础
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| 关 键 词： | 结构系统 可解性 加权QR分解 数值方法 |
ON A CLASS OF STRUCTURED LINEAR ALGEBRAIC EQUATIONS |
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| Liu Xinguo.ON A CLASS OF STRUCTURED LINEAR ALGEBRAIC EQUATIONS[J].Periodical of Ocean University of China,1997(1). |
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| Authors: | Liu Xinguo |
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| Abstract: | This paper deals with a class of structured linear algebraic equations resulted from some applications. Firstly, based on generalized singular value decomposition, an analysis on the solvability is given. Then three methods for solving such systems are presented. Finally, we discuss about the weighted QR facterization |
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| Keywords: | structured system solvability weighted QR decomposition numerical algorithm |
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