摘要
我们对四元数体上自共轭半正定矩阵按广义Ｓｃｈｕｒ补给出了Ｂｅｒｇｓｔｒｏｍ不等式的推广．然后应用自共轭半正定矩阵的Ｂｅｒｇｓｔｒｏｍ不等式得到了Ｍｉｎｋｏｗｓｋｉ不等式．我们的结果修正了重行列不等式的一些错误．
We offer a generalization of the Bergstrom inequality for selfconjugate positive semidefinite matrices over the quaternion field in terms of generalization Schur complements.Then we use the Bergstrom inequality for selfconjugate positive semidefinite matrices to obtain the Minkowski inequality.Our results correct some mistakes on double determinant inequalities.
出处
《新疆大学学报（自然科学版）》
CAS
1999年第1期32-39,共8页
Journal of Xinjiang University(Natural Science Edition)
