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lxc_422

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[求助] 求解未知矩阵中的元素和两个未知参数 已有1人参与

求解未知矩阵中的元素和两个未知参数
11组对应点坐标如下:
      xd'                          yd'                         xd                       yd
0.0652159           -1.572161316        -0.00570236        -1.603449023
-0.680626624        -1.065779492        -0.769705124        -1.106435106
-1.36061634        0.993203497        -1.365512259        1.03582211
0.807772476        -1.089514007        0.766290919        -1.109096709
1.231867919        -1.389880866        1.176930676        -1.396948586
1.233730389        -1.01252792        1.190127178        -1.025664023
-1.072034451        0.895695935        -0.95847968        0.933720757
-0.513887125        1.239563565        -0.415579937        1.271144542
-0.035274762        0.666129048        -0.068448263        0.652336125
0.90510805         0.93099805         0.924252392         0.901296746
-0.581255431        1.404273505        -0.474173542        1.447273167
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zaq123321

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lxc_422: 金币+10, 有帮助, Now, I still do not find the method for sloving this problem while the initial values are unknown. 2014-11-28 10:16:40
lxc_422: 金币+30, ★★★★★最佳答案, 问题解决了。谢谢! 2014-12-19 17:36:57
I remember this system is of 3 order nonliearity. Analytic solution is possible. Generally nonlinear system needs iterative method to get numerical solution. See the book
Iterative Solution of Nonlinear Equations in Several Variables
Book by James M. Ortega

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8楼2014-11-25 19:22:26
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zaq123321

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感谢参与,应助指数 +1
Write down the 11 eqs of the nonlinear system. Use some software, like Matlab, maple, mathematica to solve it. Hope it works.

This is the next stage of
http://muchong.com/bbs/viewthread.php?tid=8086054&authorid=405284

Good luck.
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2楼2014-11-24 23:44:16
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lxc_422

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引用回帖:
2楼: Originally posted by zaq123321 at 2014-11-24 23:44:16
Write down the 11 eqs of the nonlinear system. Use some software, like Matlab, maple, mathematica to solve it. Hope it works.

This is the next stage of
http://muchong.com/bbs/viewthread.php?tid=8 ...

Which function in Matlab should I use?
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3楼2014-11-25 08:45:26
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zaq123321

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3楼: Originally posted by lxc_422 at 2014-11-25 08:45:26
Which function in Matlab should I use?...

I am not sure whether solve command can do it. Search matlab command to solve equation system. I don't have too much experience on Matlab but I know it should have command to solve this system.
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4楼2014-11-25 09:36:52
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