$$\text{Decide if the following equation has solution:}$$ $$A_{m \times n} \cdot B_{n \times k} = X_{m \times k}$$ $$M \preceq A \preceq N, P \preceq B \preceq Q$$ $$\text{Where } F\preceq G \text{ means every element in }F\text{ is }$$ $$\text{smaller than the value on same position of }G$$ $$ X, M, N, P, Q \text{ are known}$$

EDIT@23/02/15 13:27: 用机械结构求解会卡住吗？