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小木虫论坛-学术科研互动平台 » 专业学科区 » 数学 » 工科数学 » 求解未知矩阵中的元素和两个未知参数
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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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1楼 2014-11-24 15:37:54
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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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引用回帖:
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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lxc_422

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引用回帖:
4楼: Originally posted by zaq123321 at 2014-11-25 09:36:52
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....

I used the function 'solve()' to solve it, but I did not obtain any solution of this equation system.
Matlab gave an empty solution. It is difficult to find the right method for solving it.
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5楼2014-11-25 09:43:40
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zaq123321

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Try this thing.  You first choose 11 points that satisfy a system. More specifically, suppose you know exact solution of the system. Like you make \lambda1=2, \lambda2=1 somthing like that. Set up every element in the matrix. Compute 11 points and then use matlab command to solve it. If you get you what you want, it means the system is good and matlab command is good and your input points have problem. Otherwise means solve command cannot handle this kind of system.
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6楼2014-11-25 10:05:24
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lxc_422

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引用回帖:
6楼: Originally posted by zaq123321 at 2014-11-25 10:05:24
Try this thing.  You first choose 11 points that satisfy a system. More specifically, suppose you know exact solution of the system. Like you make \lambda1=2, \lambda2=1 somthing like that. Set up ev ...

Could you recommend some references or eBooks about this problem? To my knowledge, most of existing methods need suitable initial values to solve this system of nonlinear equations.
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7楼2014-11-25 16:43:26
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zaq123321

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【答案】应助回帖

★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★
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

[ 发自手机版 http://muchong.com/3g ]
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8楼2014-11-25 19:22:26
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lxc_422

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Who can give me an answer?
How to solve this equation system while we did not known the initial values of variables?
Thank U very much!
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9楼2014-11-28 10:20:47
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