一类算子多项式的性质及应用  

The characters and application of an class of operator-polynomial

作　　者：孔庆海[1] 戴志国[2] 

机构地区：[1]东北大学理学院,辽宁沈阳110004 [2]辽宁科技学院基础部,辽宁本溪117022

出　　处：《高师理科学刊》2012年第1期37-40,共4页Journal of Science of Teachers＇College and University

摘　　要：定义了一种多项式算子D,给出其若干性质及应用,并且将算子理论推广应用到矩阵理论中,进而得到一些关于矩阵多项式特征值的结论.改进了有理数域上判断多项式不可约的Eisenstein判别法.Some characters and applications were given by defining polynomial operator D,specially it was extended to metrix theory and got some conclusions about the eigenvalue of matrix polynomial,and Eisenstein′s test were improved with its help.

关 键 词：算子 多项式 EISENSTEIN判别法 数域 特征值 

分 类 号：O151.21[理学—数学]