| 矩阵方程解的增长性及其应用 |
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| 引用本文： | 张盛.矩阵方程解的增长性及其应用[J].商丘师范学院学报,2006,22(2):168-170. |
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| 作者姓名： | 张盛 |
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| 作者单位： | 渤海大学,数学系,辽宁,锦州,121000 |
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| 摘 要： | 研究了矩阵方程AX=0解的增长性,并应用解的增长性,通过增长AX=0的一个极大可增长的基础解系的办法,得到了幂矩阵方程AmX=0的基础解系,从而解决了因幂指数m较大以致AmX=0难以求解的问题.
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| 关 键 词： | 可增长的 幂矩阵 基础解系 若当块 初等因子 |
| 文章编号： | 1672-3600（2006）02-0168-03 |
| 收稿时间： | 2005-03-08 |
| 修稿时间： | 2005年3月8日 |
The increasing character about the solutions of matrix equation and its application |
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| ZHANG Sheng.The increasing character about the solutions of matrix equation and its application[J].Journal of Shangqiu Teachers College,2006,22(2):168-170. |
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| Authors: | ZHANG Sheng |
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| Institution: | Mathematics Department of Bohai University, Jinzhou 121000, China |
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| Abstract: | The author of the article studied the increasing character about the solutions of the matrix equation AX=0,with the character,the author gave out the method of solving power matrix equation A~mX=0,by increasing a maximum suitably increasing basic set of solutions of AX=0,and solved the difficulty in solving A~mX=0,if the power exponent m is biggish. |
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| Keywords: | suitably increasing power matrix basic set of solutions jordan piece elementary divisor |
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