Theoretical analysis and numerical solution to a vector equation $Ax-\Vert x{\Vert }_{1}x=b$

Yuezhi Wang, Gwi Soo Kim, Jie Meng

Theoretical and computational properties of a vector equation $Ax-\Vert x{\Vert }_{1}x=b$ are investigated, where $A$ is an invertible $M$-matrix and $b$ is a nonnegative vector. Existence and…