病态线性方程组新解法：增广方程组法
A Novel Method for Solving Ill-Conditioned Linear System: Augmented System Method
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摘要: 为了简便求解病态问题,先构造适当的增广形式,再用常规方法求解,这时问题的病态虽然导致总体增广解的巨大误差,但原问题解只是其中一个局部,却可获得很好的精度,数值算例表明了算法的有效性.Abstract: Put an ill-conditioned system into a suitable augmented system,and solve it with ordinary methods.Although as a whole the augmented solution may be very erroneous,the original system solution is just a local part,and can be very precise.Numerical examples showed the presented method could solve extremely ill-conditioned linear systems simply and effectively.
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