纺织高校基础科学学报2016，Vol.29Issue(4)：491-495,5.DOI:10.13338/j.issn.1006-8341.2016.04.013
四元数矩阵右特征值的范围估计
Location for the right eigenvalues of quaternion matrices
摘要
Abstract
The location for all the right eigenvalues of a n × n quaternionic matrix is discussed.According to the Ger(s)gorin type theorem that has been given,it gets a better conclusion that for every right eigenvalue λ,all the right eigenvalues are containned in the union of the Ger(s)gorin balls if there exists a quaternion η∈ [λ] and |λ-aii | =| η-ii |.In additon,the conclusions when all the right eigenvalues or the elements of main diagonal of a quaternionic matrix are given.Finally,it gives a numerical examples to prove the conclusion to be correct in general.关键词
四元数/四元数矩阵/右特征值/特征向量Key words
quaternion/quaternion matrices/right eigenvalue/eigenvector分类
数理科学引用本文复制引用
韩俊佳,畅大为,叶绒绒..四元数矩阵右特征值的范围估计[J].纺织高校基础科学学报,2016,29(4):491-495,5.基金项目
国家自然科学基金资助项目(60671063) （60671063）
