| 一个力学模型的矩阵及其特性 |
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| 引用本文： | 肖业胜.一个力学模型的矩阵及其特性[J].武汉工程职业技术学院学报,2014(1):43-47. |
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| 作者姓名： | 肖业胜 |
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| 作者单位： | 武汉工程职业技术学院,湖北武汉430080 |
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| 摘 要： | 通过对一个力学问题的分析,构建了它的数学模型f=ATCAx,其系数矩阵T=ATCA是一个包含数字-1,2,-1的三对角矩阵。仅对矩阵T施行初等变换所得到的LU,LDLT分解等,具有非常简单的表示形式,它们在数值上呈现出很好的规律性;进一步的分析表明,这个力学系统是稳定的正定系统。
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| 关 键 词： | 力学 模型 矩阵 矩阵分解 |
A Matrix of Mechanical Model And Its Properties |
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| XIAO Yesheng.A Matrix of Mechanical Model And Its Properties[J].Journal of University for Staff and Workers of Wuhan Iron and Steel(Group)Corporation,2014(1):43-47. |
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| Authors: | XIAO Yesheng |
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| Institution: | XIAO Yesheng (Wuhan Engineering Institute , Wuhan 430080, Hubei) |
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| Abstract: | Based on an analysis of a mechanical problem ,a mathematical model f=ATCA xis derived , whose coefficient matrix T= ATCAcontains a tridiagonal matrix with numbers -1 ,2 ,-1 .The decompo-sition obtained by only applying elementary transformation LU ,LDLTon the matrix is simple in form ,in-dicating a good numerical regularity .Further analysis shows that the mechanical system is a stable positive definite system . |
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| Keywords: | mechanics model matrix resolution of matrix |
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