Сonvergence analysis of weak and weaker matrix splittings

The main goal of this paper is to present comparison theorems proven under natural conditions such as $N_2\ge N_1$ and $M_1^{-1}\ge M_2^{-1}$ for weak and weaker splittings of $A=M_1-N_1=M_2-N_2$ for the cases when $A^{-1}\ge 0$ and $A^{-1}\le 0$.