论文信息 - Symmetric function means and permanents - 字舞流文

Symmetric function means and permanents

Abstract We define a function using permanents which generalizes the symmetric function means and show that it is monotonic. The function is conjectured to be superadditive. A special case of the conjecture is proved.

Ravindra B. Bapat

[1] Henryk Minc,et al. Theory of permanents 1982–1985 , 1987 .

[2] M. Marcus,et al. Inequalities for Symmetric Functions and Hermitian Matrices , 1957, Canadian Journal of Mathematics.

[3] Some Matrix Inequalities in Multiport Network Connections , 1989 .

[4] J. H. van Lint,et al. Notes on Egoritsjev's proof of the van der Waerden conjecture , 1981 .

[5] T. D. Morley,et al. Symmetric function means of positive operators , 1984 .

[6] I. Olkin,et al. Inequalities: Theory of Majorization and Its Applications , 1980 .

[7] Ravindra B. Bapat. Permanents in probability and statistics , 1990 .

[8] Henryk Minc,et al. Theory of permanents 1978–1981 , 1983 .