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中文摘要：
考虑将预条件Ps=I＋S及Pm=I＋Smax应用于新的USSOR迭代法，讨论了新方法的收敛性，得到不同预条件下的比较性定理。同时，从理论上证明了它们较原方法提高了迭代的收敛速度。最后给出1个例子来说明。
英文摘要：
The precondition Ps = I ＋ S and Pm = I ＋ Smax is considered to be applied to the new USSOR iterative method. The convergence of the new methed is discussed and the comparison theorem of some preconditioned matrix are also obtained. At the same time, it is theoretically proved that the convergence speed of the original method has been improved. One numerical examples are given to illustrate the theorems.
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