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矩阵形式下的一元多项式的可约性研究
On Reducibility of Polynomial of One Indeterminate under Matrix Form
【摘要】 将矩阵引入多项式,给出了多项式的矩阵表示,定义了矩阵多项式的运算。在一元多项式的矩阵形式下,讨论了一元多项式的可约性,得到了一元多项式可约的几个有意义的结果,并通过实例验证了利用计算机研究一元多项式可约性的可行性。
【Abstract】 This paper is to,with the introduction of matrix into the polynomial,and the definition of operation of matrix polynomial,discuss the reducibility of one indeterminate under its matrix form,obtain some significant results,and prove its feasibility with the help of computers by employing some concrete cases.
【关键词】 一元多项式;
多项式矩阵形式;
充要条件;
导出二次型;
可约性;
【Key words】 polynomial of one indeterminate; polynomial matrix form; necessary & sufficient condition; Export quadratic; reducibility;
【Key words】 polynomial of one indeterminate; polynomial matrix form; necessary & sufficient condition; Export quadratic; reducibility;
- 【文献出处】 绵阳师范学院学报 ,Journal of Mianyang Normal University , 编辑部邮箱 ,2011年11期
- 【分类号】O151.21
- 【被引频次】1
- 【下载频次】134