Traces of Schur and Kronecker Products for Block Matrices

[摘要] In this paper, we define two new Schur and Kronecker-type products for  block matrices. We present some equalities and inequalities involving traces of matrices generated by these products and in particular we give conditions under which the trace operator is sub-multiplicative for them. Also, versions in the block matrix framework of results of Das, Vashisht, Taskara and Gumus will be obtained.

[学科分类] 公共、环境与职业健康