Star Matrices: Properties And Conjectures∗
... If A and B are in Ωn , then AB and BA are also in Ωn . Hence there is an open question, whether the product of two stars is a star? The answer is yes for n = 2, since any 2x2 doubly stochastic matrix is a star. In the case of n = 3, if A = M ( 12 , 0; 0, 1) and B = M ( 12 , 12 ; 12 , 12 ), then AB = ...
... If A and B are in Ωn , then AB and BA are also in Ωn . Hence there is an open question, whether the product of two stars is a star? The answer is yes for n = 2, since any 2x2 doubly stochastic matrix is a star. In the case of n = 3, if A = M ( 12 , 0; 0, 1) and B = M ( 12 , 12 ; 12 , 12 ), then AB = ...
