摘要
在将n阶方阵正定性的判定转化为(n-1)阶方阵正定性判定的基础上,给出了将n阶方阵正定性的判定转化为r(r是1≤r≤n-1的整数)阶方阵正定性的判定方法.应用此方法,每步可降低(n-r)阶。
Based on a method to judge \%n\%order positive definite matrix by judging some (\%n\%-1)order positive definite matrices,we proved that judgement of \%n\%order positive definite matrix can be converted to judgement of \%r\%order positive definite matrices(where \%r\% is a integer: 1\%r\%\%n\%-1). In this way, (\%n-r\%)order is depressed in every step, and then judgement is speeded up.\=
出处
《沈阳化工学院学报》
1999年第2期127-128,共2页
Journal of Shenyang Institute of Chemical Technolgy
关键词
正定矩阵
逆矩阵
矩阵
降阶判定
positive definite matrix
\ inverse matrix
\ Schur complement of matrix