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关于亚正定矩阵的几个问题
引用本文:韩桂琴,付晓林,高齐飞.关于亚正定矩阵的几个问题[J].齐齐哈尔大学学报(自然科学版),1996(1).
作者姓名:韩桂琴  付晓林  高齐飞
作者单位:东北重型机械学院,空军第二航空机械学院,辽宁铁岭农业学校
摘    要:本文给出了用低阶矩阵来判定高阶矩阵的亚正定的判定定理,同时给出了矩阵方程AX=B的反问题在亚正定矩阵类中解存在的充要条件及一般形式。

关 键 词:对称正定,亚正定

On Several Problems of Semi-Positive Definite Matrices
Han Guiqin, Fu Xiaolin.On Several Problems of Semi-Positive Definite Matrices[J].Journal of Qiqihar University(Natural Science Edition),1996(1).
Authors:Han Guiqin  Fu Xiaolin
Affiliation:Han Guiqin; Fu Xiaolin(Northeast Inshtute of Heavy Machinery)(Second Air Institute of Heavy Machinery)Gao Qifei(Tie Ling agricultural academy of Liao mug Province)
Abstract:In this paper, a theorem for detendning seal-positive defenitness of highorder matrices by low order matrices in given and the necessary and sufficiet condition Of ekistens Of the solution to the inverse problem of matrix equatiOn AX=B in the set of seal-positive definite rnatrices is given so is the general form Of the soluhon.
Keywords:Symmetric positive definite Semi-positive definite
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