江西科学2025，Vol.43Issue(5)：898-900,3.DOI:10.13990/j.issn1001-3679.2025.05.013
矩阵与矩阵多项式之间的相似关系
Similarity Relations Between Matrices and Matrix Polynomials
摘要
Abstract
By employing the theory of Jordan canonical forms,this paper establishes a suffi-cient condition for a complex matrix to be similar to its polynomial.Furthermore,a construc-tive method for generating a class of polynomials satisfying this condition is presented.Sever-al results concerning matrix similarity are subsequently derived using the proposed theorem.关键词
矩阵多项式/矩阵相似/Jordan标准形Key words
matrix polynomial/matrix similarity/Jordan canonical form分类
数理科学引用本文复制引用
宋秉乾,胡康秀..矩阵与矩阵多项式之间的相似关系[J].江西科学,2025,43(5):898-900,3.基金项目
江西省教学研究重点项目(JXJG-18-6-4) （JXJG-18-6-4）
江西省教育厅科技计划项目(GJJ150561) （GJJ150561）
东华理工大学教改项目(DHJG-19-23). （DHJG-19-23）
