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| 二次型在超曲面上条件极值的矩阵解法 | |
| 引用本文： | 刘琳,裴新年,张春生.二次型在超曲面上条件极值的矩阵解法[J].天津师范大学学报(自然科学版),2009,29(1):20-22. |
| 作者姓名： | 刘琳 裴新年 张春生 |
| 作者单位： | 1. 河北交通职业技术学院,石家庄050091;南开大学,数学科学学院,天津300071 2. 中共天津市委党校基础课教研部,天津,300191 3. 南开大学,数学科学学院,天津300071 |
| 基金项目： | 国家重点基础研究发展规划(973计划) |
| 摘 要： | 利用矩阵理论得到了二次型在一般的二次超曲面上取得条件极值的充分条件，并结合实例用Matlab编程实现了求解过程． |
| 关 键 词： | 二次型 正定矩阵 条件极值 Cholesky分解 |
Solution of conditional extremum of quadric form on hypersurface by using the matrix method |
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| LIU Lin,PEI Xinnian,ZHANG Chunsheng.Solution of conditional extremum of quadric form on hypersurface by using the matrix method[J].Journal of Tianjin Normal University(Natural Science Edition),2009,29(1):20-22. | |
| Authors: | LIU Lin PEI Xinnian ZHANG Chunsheng |
| Institution: | LIU Lin , PEI Xinnian, ZHANG Chunsheng (1. Hebei Jiaotong Vocational ＆ Technical College, Shijiazhuang 050091 ,China; 2.Department of Basic Courses, Party School of CPC Tianjin Municipal Committee, Tianjin 300191, China; 3.School of Mathematical Sciences, Nankai University, Tianjin 300071, China) |
| Abstract: | A sufficient condition for conditional extremum of quadric form on general quadric hypersurface is obtained by using the matrix method, and according to an example, the solving process is realized by Matlab programming. |
| Keywords: | quadric form positive definite matrix conditional extremum Cholesky decomposition |
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