摘要
讨论由两个右特征对构造三对角四元数矩阵的数值求解问题,给出了该问题有解的充要条件,以及解的具体表达式.在已知两个特征对的条件下,进一步给出了三对角自共轭、三对角正定四元数矩阵的存在条件及计算方法.
In this paper, we investigate the problem of the construction of tridiagonal quater- nion matrix from two right eigenpairs, and necessary and sufficient conditions for tile existence of a solution of the problem, and the expressions of the solution are given. Moreover, the exis- tence conditions and calculation method for tridiagonal self-conjugate and tridiagonal positive definite quaternion matrix are also derived.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第12期209-214,共6页
Mathematics in Practice and Theory
基金
广西自然科学基金(0832083)
关键词
三对角四元数矩阵
右特征对
自共轭
正定
tridiagonal quaternion matrix
right eigenpairs
self-conjugate
positive definite
