薛建明
摘 要:本文讨论了Accretive ̄dissipative矩阵的行列式不等式。首先得到了一个正定矩阵的行列式不等式,在此基础上给出了一个新的Accretive ̄dissipative矩阵的行列式不等式。
关键词:Accretive ̄dissipative矩阵;行列式不等式;特征值
中图分类号:O178
文献标识码: A
参考文献:
[1]Kh.D.Ikramov. Determinantal inequalities for Accretive ̄dissipative matrices[J].J.Math.Sci.(New York),2004, 121:2458-2462.
[2]M. Lin. Fischer type determinantal inequalities forAccretive ̄dissipative matrices[J].Linear Algebra Appl,2013,438:2808-2812.
[3]S.W.Drury. Fischer determinantal inequalities and Higham,s Conjecture[J].Linear Algebra Appl,2013,439:3129-3133.
[4]S.Chen. Some determinantal inequalities for Hadamard product ofmatrices[J].Linear Algebra Appl,2003,368:99-106.
[5]X.Fu, C.He. On Some Fischer type determinantal inequalities forAccretive ̄dissipative matrices[J].J.Inequal. Appl,2013:316.
[6]J. Xue, X.Hu. On Fischer type determinantal inequalities forAccretive ̄dissipative matrices[J].J.Inequal. Appl,2015:194.
[7]X.Zhan. Computing the extremal positive definite solutions of a matrix equation[J].SIAM J.Sci.Comput,1996,17:1167-1174.
(責任编辑:曾 晶)