关于M矩阵的Fan乘积的Oppenheim型不等式
관우M구진적Fan승적적Oppenheim형불등식
The Oppenheim type inequality on Fan product of M-matrices
  • 万方数据
    黑龙江大学自然科学学报 흑룡강대학자연과학학보
    JOURNAL OF NATURAL SCIENCE OF HEILONGJIANG UNIVERSITY
    2004年 4期 85-88 ,共4页

    晏瑜敏%冯晓霞%杨忠鹏%陈智雄

    안유민%풍효하%양충붕%진지웅

    Fan乘积%Oppenheim型不等式%M-矩阵%行列式%下界 Fan乘積%Oppenheim型不等式%M-矩陣%行列式%下界
    Fan승적%Oppenheim형불등식%M-구진%행렬식%하계
    Fan product%Oppenheim-type inequality%M-matrix%determinant%lower bound
    首先指出张胜关于M-矩阵Fan乘积的行列式下界的估计不比两个M矩阵的Fan乘积的Oppenheim型不等式的结果好,然后进一步推广了两个M矩阵的Fan乘积的Oppenheim型不等式,并且说明推广的结果优于已知的张胜的结论.
    수선지출장성관우M-구진Fan승적적행렬식하계적고계불비량개M구진적Fan승적적Oppenheim형불등식적결과호,연후진일보추엄료량개M구진적Fan승적적Oppenheim형불등식,병차설명추엄적결과우우이지적장성적결론.
    Firstly, it is pointed out that the estimation on the lower bound of the determinant for Fan product of Mmatrices in Zhang Sheng [Journal of Nanjing Normal University, 22(2)(1999), 19-23] is not better than the Oppenheim type inequality on Fan product of M-matrices. Secondly, the Oppenheim-type inequalities on Fan product of two M-matrices are generalized. Finally, it is indicated that our results are superior to the results of Zhang Sheng.
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