海南大学学报（自然科学版）2025，Vol.43Issue(6)：686-693,8.DOI:10.15886/j.cnki.hndk.2025022101
实反对称矩阵标准形的一些应用
Some applications of canonical forms of real antisymmetric matrices
摘要
Abstract
In the report,a new proved method of the orthogonal canonical form theorem of real antisymmetric matrices was proposed,and some applications of the orthogonal canonical form of real antisymmetric matrices were further studied.Firstly,the centralizer and dimension of the real antisymmetric matrix were obtained;secondly,it was proved that for each positive odd number m,the real antisymmetric matrix has only one m-th root of real antisymmetric matrix;finally,some basic results about real antisymmetric matrices were intuitively solved from the orthogonal canonical form.关键词
实反对称矩阵/正交矩阵/特征值/根/Lagrange插值公式Key words
real antisymmetric matrix/orthogonal matrix/eigenvalue/root/Lagrange interpolation formula分类
数理科学引用本文复制引用
ZHANG Chenen,ZHAO Jing,LIU Heguo..实反对称矩阵标准形的一些应用[J].海南大学学报（自然科学版）,2025,43(6):686-693,8.基金项目
国家自然科学基金项目(12171142) （12171142）
