中文摘要：

研究求解线性代数方程组的多重分裂迭代法，讨论了以基于不完全三角分解A=LU—N作为外分裂，再以Lu=LD—LT作为内分裂的两步多重分裂迭代法的收敛性，给出了相关定理和数值算例，验证了方法的收敛性和正确性．

英文摘要：

Studying tile multi-splitting iterative method for solving the sparse linear algebraic equations, and discussing the convergence theory as taking incomplete LU factorization A = LU - N as outer split and taking LU = LD - LT as inner split, and through the theorem and numerical example, we demonstrate the effectiveness of our method.