@article { author = {García-Bayona, Ismael}, title = {Traces of Schur and Kronecker Products for Block Matrices}, journal = {Khayyam Journal of Mathematics}, volume = {5}, number = {2}, pages = {40-50}, year = {2019}, publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)}, issn = {2423-4788}, eissn = {2423-4788}, doi = {10.22034/kjm.2019.84207}, abstract = {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.}, keywords = {Schur product,Kronecker product,Trace,matrix multiplication,inequalities}, url = {https://www.kjm-math.org/article_84207.html}, eprint = {https://www.kjm-math.org/article_84207_18a097d3d32ba04b3cab1968f04ce4ff.pdf} }