南通大学学报：自然科学版2012，Vol.11Issue(4)：86-89,4.
准幻方矩阵及其判定
Quasi-Magic Square Matrix and Its Judgment
摘要
Abstract
The definition of Quasi-magic square matrix, the generalized matrix of double heart matrix and doubly stochastic matrix, is tentatively presented. That is presuming A∈R^n×n, if added value of every line in A is the same constant, therefore matrix A is named Quasi-magic matrix. Several necessary and sufficient conditions for the non- negative matrix being quasi-magic square matrix are concluded, and at the same time several judgment theorems of the double heart matrices and doubly stochastic matrix are also discussed and new conclusions are drawn from them.关键词
幻方矩阵/双心矩阵/双随机矩阵/准幻方矩阵/判定定理Key words
magic square matrix/double heart matrix/doubly stochastic matrix/quasi-magic square matrix/judgment分类
数理科学引用本文复制引用
刘玉,郑晓周..准幻方矩阵及其判定[J].南通大学学报：自然科学版,2012,11(4):86-89,4.基金项目
广东省自然科学基金项目（10152104101000008）： （）
