正线性方程组的半正解

Semi-positive Solution about Systems of Positive Linear Equations

通过引入正线性方程组Ax=b的可去变量,得到了没有可去变量的正线性方程组有无穷多个半正解情形的充分必要条件以及有惟一半正解情形的充分必要条件.

This paper introduces the definition of removable variables in the systems of positive linear equations,and then gets sufficient and necessary conditions for the two situations which systems of positive linear equations without removable variables have infinite semi-positive solutions or have a unique semi-positive solution.