摘要
实对称正定矩阵的复合矩阵正定性的研究已有结论,但对于一般意义下的正定矩阵的复合矩阵是否仍然是正定的研究需要利用一般的正定矩阵的标准形的复合矩阵进行讨论,给出了一般公式及具体算法,为讨论其复合矩阵的正定性提供了基础条件.
There has been a positive quality research result of the solid symmetry of compound matrix of positive definite datrix. While we should use the general compound matrix of standard form of positive definite xatrix to discuss the positivism of the compound matrix of positive definite matrix in general significance. This essay carries out a general formula and exact algorithm about it and this makes a basic condition to discuss the positive quality of the compound matrix of positive definite matrix.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第15期174-179,共6页
Mathematics in Practice and Theory
基金
浙江省教育厅资助项目(20051313)
关键词
复合矩阵
正定矩阵
标准型
正定性
compound matrix
positive definite matrix
standard form
positive quality
