Re: Apparent accuracy error in least squares fit
- To: mathgroup at smc.vnet.net
- Subject: [mg66206] Re: Apparent accuracy error in least squares fit
- From: "Chris Chiasson" <chris.chiasson at gmail.com>
- Date: Thu, 4 May 2006 05:20:15 -0400 (EDT)
- References: <e346pr$7rn$1@smc.vnet.net><200605020643.CAA23608@smc.vnet.net> <e39kgv$cqu$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Here is what I get. There are no error messages. In[1]:= $Version Out[1]= 5.2 for Microsoft Windows (June 20, 2005) In[2]:= f[T_,Ms_]=Ms-Mo*Coth[(a+b*Ms)/T]+Mo*T/(a+b*Ms) Out[2]= \!\(Ms + \(Mo\ T\)\/\(a + b\ Ms\) - Mo\ Coth[\(a + b\ Ms\)\/T]\) In[3]:= data={{300.,2.7933},{350.,2.7832},{400.,2.7452},{450.,2.6898},{500., 2.5623},{550.,2.3616},{600.,2.0242},{650.,1.5675},{700.,1.0732},{740., 0.693}} Out[3]= {{300.,2.7933},{350.,2.7832},{400.,2.7452},{450.,2.6898},{500.,2.5623},{550., 2.3616},{600.,2.0242},{650.,1.5675},{700.,1.0732},{740.,0.693}} In[4]:= g=Apply[Plus,Map[Sqrt[f[#[[1]],#[[2]]]^2]&,data]]; In[5]:= {sol1,sol2}=NMinimize[{g,0<a,0<b,Mo>0},{a,b,Mo}] Out[5]= {3.41302,{a\[Rule]17.3187,b\[Rule]6.81003,Mo\[Rule]91.5214}} In[6]:= data={{300.,9.4478},{350.,9.1237},{400.,8.6531},{450.,8.0999},{500., 7.4426},{550.,6.706},{600.,5.8785},{650.,4.9522},{700.,3.8981},{750., 2.9685}} Out[6]= {{300.,9.4478},{350.,9.1237},{400.,8.6531},{450.,8.0999},{500.,7.4426},{550., 6.706},{600.,5.8785},{650.,4.9522},{700.,3.8981},{750.,2.9685}} In[7]:= g=Apply[Plus,Map[Sqrt[f[#[[1]],#[[2]]]^2]&,data]]; In[8]:= {sol1,sol2}=NMinimize[{g,0<a,0<b,Mo>0},{a,b,Mo}] Out[8]= {0.479589,{a\[Rule]0.00152594,b\[Rule]194.249,Mo\[Rule]11.3153}}
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- Re: Re: Apparent accuracy error in least squares fit
- From: Daniel Ortega <daniel.ortega@uca.es>
- Re: Re: Apparent accuracy error in least squares fit
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- Re: Apparent accuracy error in least squares fit
- From: "Chris Chiasson" <chris.chiasson@gmail.com>
- Re: Apparent accuracy error in least squares fit