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中文摘要：
本文主要研究解对称正定矩阵的多级迭代法，并对其收敛性进行证明。最后用数值实验验证此方法的有效性．多级迭代法特别适用于并行计算，并且可以被理解为古典迭代法的扩展，或共轭梯度法的预处理子。
英文摘要：
In this paper a multistage iterative method for solving the symmetric positive definite linear systems is established and the convergence of the method is proved. A numerical example is given to illustrate the effectiveness of our method. The method is especially suitable for parallel computation, and can be viewed as a extension of the classical iterative method or as a preconditioner for the conjugate gradient method.
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Optimal approximation problems for a class of symmetric generalized centrosymmetric matrices on a li
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