分块复矩阵次正定性的判据  

ON CRITERION FOR THE SUB-POSITIVE DEFINITENESS OF PARTITIONED COMPLEX MATRICES

作　　者：王社宽[1] 

机构地区：[1]陕西科技大学理学院,陕西咸阳712081

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

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.

关 键 词：分块复矩阵 次正定性 判据 次正定阵 性质 

分 类 号：O151.21[理学—数学]