The Generalization of a Converse of Matrix Inequality  

作　　者：FENGXiao-xia YANGZhong-peng 

机构地区：[1]FacultyofScience,Xi＇anJiaotongUniversity,Xi＇an710049,China 2.DepartmentofMathematics,BeihuaUniversity,Jilin132011,China [2]DepartmentofMathematic,PutianUniversity,Putian351100,China

出　　处：《Chinese Quarterly Journal of Mathematics》2005年第1期21-27,共7页数学季刊（英文版）

基　　金：Supported by the Science Foundation of Educational Commission of Fujian Province (JA03157)Supported by the Scientific Research Item of Putian University(20042002)

摘　　要：We prove that the inequality holds, when a m × n real matrix X = (xij) whose entries are not all equal to 0 satisfies Therefore we not only generalize the results of Horst Alzer [2] from non-negative matrix to real matrix, but also complete a result of E R van Dam [1], which indicated that the best possible upper bound is equal to 1 for real matrix.

关 键 词：real matrix TRACE INEQUALITY lower bound 

分 类 号：O151.21[理学—数学]