| 线性代数方程组通解行处理法 |
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| 引用本文： | 杨本立,徐永红.线性代数方程组通解行处理法[J].四川大学学报(自然科学版),2006,43(3):479-483. |
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| 作者姓名： | 杨本立 徐永红 |
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| 作者单位： | 中国工程物理研究院工学院,四川,绵阳,621900 |
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| 基金项目： | 中国工程物理研究院科学技术基金(20020656) |
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| 摘 要： | 利用Gram-Schmidt正交规范化方法给出了一种判断任意线性代数方程组相容性以及确定此方程组解结构的数值方法,分析了对应算法的计算复杂度、数值稳定性及内在并行性.
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| 关 键 词： | 线性代数方程组 解结构 正交规范化 内在并行性 |
| 文章编号： | 0490-6756（2006）03-0479-05 |
| 收稿时间： | 2004-06-25 |
| 修稿时间： | 2004-06-252004-09-18 |
Row Action Method for General Solution of System of Linear Algebraic Equations |
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| YANG Ben-li,XU Yong-hong.Row Action Method for General Solution of System of Linear Algebraic Equations[J].Journal of Sichuan University (Natural Science Edition),2006,43(3):479-483. |
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| Authors: | YANG Ben-li XU Yong-hong |
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| Institution: | Staff College; China Academy of Engineering Physics,Staff College; China Academy of Engineering Physics |
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| Abstract: | The authors Utilize Gram-Schmidt's orthogonalization to put forward a parallel method of judging the consistency of arbitrary system of linear algebraic equations and determinging the general solution of arbitraty consistent system of linear algebraic equations,analyze its computational complexity,numerical stability,and its intrinsic parallism. |
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| Keywords: | system of linear algebraic equations structure of solution orthogonalization and normalization intrinsic parallism |
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