摘要
定义了O相似与O合同矩阵,并刻画了它们的一些性质及O相似与O合同的等价条件,同时给出了全转置矩阵、对称矩阵、次对称矩阵、伴随矩阵的一些相关结论。得出了矩阵的次对角化和O正交矩阵的求解方法。
O- similar and O- congruent matrices,and their properties and the O- similar and O - congruent equivalent conditions were defined. Some consequences of the full-transposed, symmetric,sub-symmetric and adjoint matrices were given. As for application,a way of finding sub-diagonalization and O - orthogonal matrices was given.
出处
《南京林业大学学报(自然科学版)》
CAS
CSCD
北大核心
2006年第4期59-63,共5页
Journal of Nanjing Forestry University:Natural Sciences Edition
基金
江苏省高校自然科学研究计划(163070001)
南京林业大学科研基金项目(063070720)
关键词
O-相似
O-合同
全转置矩阵
O-正交矩阵
O - similarity
O - congruence
Full-transposed matrix
O - orthogonal matrix