摘要
本文利用矩阵的奇异值分解给出了带约束的Kantorovich不等式的矩阵形式,从而推广了王松桂和邵军1992年 [1] 的结果.并利用此结论得到了一般形式的带约束的Wielandt不等式的矩阵形式.
A note by Wang and Shao (1992), in which the constrained Kantorovich inequalities are considered in matrix versions expressed in terms of the loewner tial ordering, is extended to cover nonnegative Hermitian matrices by the singular value decomposition of matrix. Furthermore, the constrained Wielandt inequalities are also investigated.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
2002年第1期151-156,共6页
Acta Mathematica Sinica:Chinese Series
基金
国家自然科学基金资助项目