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逆矩阵计算
已有2人参与
求助各位前辈,大神,用全主元高斯消去法求逆矩阵,计算结果误差比较大,本人用原矩阵和求得的逆矩阵相乘再和单位阵比较,最大差值差不多有0.4,不满足计算精度,求助各位有没有其他方法能够求得稍微高精度(和单位阵的差值小于0.001)的逆矩阵方法,先谢过了!后面附上要求逆的原矩阵,是fortran按标准格式输出的数据。
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求逆矩阵.txt
2015-07-20 22:46:18, 57.83 K
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Originally posted by
cooooldog
at 2015-07-21 07:52:42
这种49x49规模的矩阵都很容易计算
常规方法误差大是因为,这个矩阵条件数很大:218199.278
可以用SVD分解或者高精度计算的方式。我用SVD得到如下:
{{-0.837307211352162,3.136712706867911,10.9935949753 ...
您好,十分感谢!除了svd分解法,其他高精度的方法还有哪些?另外,能提供一下svd法的子程序代码吗?
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2015-07-21 09:30:37
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【答案】应助回帖
感谢参与,应助指数 +1
这么大的矩阵啊,是有限元总纲麽?
不知道IMSL库函数能不能求这么大矩阵的逆,可以试下。
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感谢参与,应助指数 +1
kimileegdut: 金币+30,
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很有帮助
2015-07-21 09:26:18
这种49x49规模的矩阵都很容易计算
常规方法误差大是因为,这个矩阵条件数很大:218199.278
可以用SVD分解或者高精度计算的方式。我用SVD得到如下:
CODE:
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Originally posted by
RubikLee
at 2015-07-20 23:59:59
这么大的矩阵啊,是有限元总纲麽?
不知道IMSL库函数能不能求这么大矩阵的逆,可以试下。
不是啊,是边界元法求解问题的时候遇到的一个系数矩阵,算出来的最后结果有问题,反复查找,最后发现这个逆矩阵有较大误差
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