多边矩阵的广义求块迹Tr运算

Tr Operation of Generalized Block Trace of Multilateral Matrices

摘要: 介绍了多边矩阵的块迹 \rmTr 运算概念，证明了多边矩阵的块迹 \rmTr 运算的基本定理并给出了一些多边矩阵的块迹 \rmTr 运算代数性质。作为应用，研究了多边矩阵的块迹 \rmTr 运算和多边矩阵普通乘法，及其多边矩阵Hadamard积的关系。

Abstract: The concepts of block trace of multilateral matrices are introduced, and proves some basic theorems for the block trace of multilateral matrices, and many of the basic properties of block trace of multilateral matrix subdivision are presented. As applications, researches the relationship among the block trace of multilateral matrices, multiply of multilateral matrix, and Hadamard product of multilateral matrix.