| 修正的LMS方法 |
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| 引用本文： | 李志斌,于和国.修正的LMS方法[J].大学数学,1996(4). |
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| 作者姓名： | 李志斌 于和国 |
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| 作者单位： | 大连铁道学院，东北财经大学 |
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| 摘 要： | ＢｉｔｍｅａｄＲ．Ｒ和ＡｎｄｅｒｓｏｎＤ．Ｏ在文献［１］中为任意线性方程组的求解提出了一种颇为有效的算法，称为ＬＭＳ方法．文献［２］详细地论述了算法的收敛性，指出收敛极限是方程组的最小二乘解．本文为使解线性方程组的ＬＭＳ算法具有更广泛、更方便的应用性．对文献［２］中的ＬＭＳ算法作了修正．理论和实践证明修正后的算法是成功的．
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| 关 键 词： | 线性方程组，LMS方法，收敛 |
Modified LMS Method |
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| Li Zhibin,Yu Heyuan.Modified LMS Method[J].College Mathematics,1996(4). |
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| Authors: | Li Zhibin Yu Heyuan |
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| Abstract: | Bitmead R. R. and Anderson D. O. 1] presented a efficient method called LMS for solving system of linear equations, but 2] discussed the convergence property of the LMS method, and it is pointed out that limit of the iterative series is the least-square solution of the system of linear equations.In order that the LMS method can more widely and more conveniently be applied,in this paper,we medified in 2] LMS method. Both theoretical and practical results shows that the modified methods are successful. |
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| Keywords: | linear equations LMS method Convergence |
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