DETERMINANTAL INEQUALITIES FOR BLOCK TRIANGULAR MATRICES

作者：Lin, Minghua^*

来源：Mathematical Inequalities & Applications, 2015, 18(3): 1079-1086.

DOI：10.7153/mia-18-83

• Determinantal inequality
• block triangular matrices

Let T =
[GRAPHICS]
be an n-square matrix, where X, Z are r-square and (n-r)-square, respectively. Among other determinantal inequalities, it is proved that
det(I-n + T*T) >= det(I-r + X*X) .det(In- r + Z*Z)
with equality if and only if Y = 0.

• 出版日期2015-7
• 单位上海大学