摘要
本文证明了若议程B有一种对称分解B=AC（由文[1],这总能办到）,则B定有对称分解B=A_1C_1使||A1||_F≤||A||_F,||C1||_F≤||C||_F,其中|| ||是Frobenius范数,并给出具体的分解方法。
This paper shows that if a square matrix B can be decomposed into the product of two symmetric matrices A and C (note:It is certain from [2]), then B must be a product of the symmetric A1 and C1, having || A1 || F≤ || A || F, || C1 || F≤ || C || F where || · || F is Frobenius's Norm.
出处
《云南大学学报（自然科学版）》
CAS
CSCD
1992年第4期342-348,共7页
Journal of Yunnan University(Natural Sciences Edition)
关键词
对称分解
范数
方阵
the symmetric decomposition
