CHARACTERISTIC POLYNOMIALS OF SUPERTROPICAL MATRICES

被引:3
|
作者
Niv, Adi [1 ]
机构
[1] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel
关键词
Characteristic polynomial; Powers of matrices; Tropical and supertropical linear algebra; ALGEBRA;
D O I
10.1080/00927872.2012.717324
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Supertropical matrix theory was investigated in [6], whose terminology we follow. In this work we investigate eigenvalues, characteristic polynomials and coefficients of characteristic polynomials of supertropical matrices and their powers, and obtain the analog to the basic property of matrices that any power of an eigenvalue of a matrix is an eigenvalue of the corresponding power of the matrix.
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页码:528 / 539
页数:12
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