Criterion for Minor Positive Semi-definiteness of Partitioned Complex Matricess
Yang Ying · Journal of Xuchang University · 2010
In this paper,first sub metapositive semi-definiteness of two special kinds of partitioned complex matrices is studied,and the necessary and sufficient conditions which determine metapositive semi-definiteness of second order partitioned semi-Hermite matrices and three order partitioned semi-Hermite matrices by metapositive semi-definiteness of lower order matrices are obtained.Based on this,general partitioned complex matrices is discussed,and new criterion about metapositive semi-definiteness of partitioned complex matrices is given.