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- W923842389 abstract "We prove that the inequality m+n/mn+min{m,n}≤m m∑i=1（n∑j=1xij）^2+n n∑j=1（m∑i=1xij）^2/（m∑i=1 n∑j=1xij）^2+mn m∑i=1 n∑j=1x^2ij holds, when a m×n real matrix X = (xij) whose entries are not all equal to 0 satisfies txX^TX}≤min{m∑i=1（n∑j=1xij）^2，n∑j=1（m∑i=1xij）^2}.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." @default.
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- W923842389 date "2005-01-01" @default.
- W923842389 modified "2023-09-26" @default.
- W923842389 title "The Generalization of a Converse of Matrix Inequality" @default.
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