摘要
研究了一类分块复矩阵及分块复矩阵的次正定性,并讨论了分块次正定复矩阵和次正定次Hermite矩阵的性质,得到了该类分块复矩阵为次正定阵(或次正定次Hermite矩阵)的充分和必要条件,在此基础上给出了分块复矩阵次正定性的新判据。
In this paper, first sub-positive definiteness of 2 × 2 partitioned complex matrices and 3×3 partitioned complex matrices was studied, then the property of sub-positive definite partitioned complex matrices and sub-positive definite sub-Hermite matrices was investigated. Based on this, new criterions about sub-positive definiteness of partitioned complex matrices are given.
出处
《陕西科技大学学报（自然科学版）》
2003年第5期24-26,共3页
Journal of Shaanxi University of Science & Technology
关键词
分块复矩阵
次正定性
判据
次正定阵
性质
partitioned complex matrix
positive definite complex matrix
sub-positive definite complex matrix
