| 矩阵的斜初等变换及其应用 |
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| 引用本文： | 张景晓.矩阵的斜初等变换及其应用[J].聊城大学学报(自然科学版),2003,16(1):21-24. |
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| 作者姓名： | 张景晓 |
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| 作者单位： | 德州学院,数学系,山东,德州,253023 |
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| 摘 要： | 提出了矩阵的斜初等变换的概念，并给出了矩阵的斜初等变换下的标准形，然后建立了用矩阵的斜初等变换求多项式最大公因式的新方法。最后指出，用矩阵的斜初等变换可方便地求满足u(x)f(x) v(x)g(x)=d(x)的u(x)和v(x)。
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| 关 键 词： | 矩阵理论 斜初等变换 标准型 多项式 最大公因式 高等代数 |
| 文章编号： | 1007-8304(2003)01-0021-04 |
The Oblique Elementary Operation of Matrix and Its Application |
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| ZHANG Jing-xiao.The Oblique Elementary Operation of Matrix and Its Application[J].Journal of Liaocheng University:Natural Science Edition,2003,16(1):21-24. |
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| Authors: | ZHANG Jing-xiao |
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| Abstract: | In this paper. We advance the concepts of oblique elementary operation of matrix,and proved a standard form under the oblique elementary operation. Then establish a new method of extracting greatest common divisor of polynomial. Finally,finding out u(x) and v(x) which meets u(x)f (x)+v(x)g(x)=d(x) is convenient with the use of oblique elementary operation of matrix. |
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| Keywords: | matrix oblique elementary operation standard form greatest common divisor |
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