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MathGroup Archive 2007

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Re: Recursive FindRoot with initial values as a list

  • To: mathgroup at smc.vnet.net
  • Subject: [mg77053] Re: Recursive FindRoot with initial values as a list
  • From: dimitris <dimmechan at yahoo.com>
  • Date: Sat, 2 Jun 2007 04:13:09 -0400 (EDT)
  • References: <f3m4qv$fgl$1@smc.vnet.net>

Hi.

The others have covered your request I think.
I just wanted to add that since you are interested in
numerical results there is no reason to use Integrate.
I suggest changing to NIntegrate.

Dimitris

 /  R.G       :
> Greetings...
> Say I have a function defined as:
> f[a_, b_]:= Integrate[Sin[x] + 3, {x, a, b}]
>
> I can find b with given f[a,b]=2 and initial value=0:
> In[1]:= Initialvalue = 0;
>      s1 = FindRoot[f[0, unknown] == 2, {unknown,Initialvalue}];
>      x1 = s1[[ 1, 2]]
>
> Now, using the x1 value obtained from FindRoot, I can find x2:
>      s2 = FindRoot[f[x1, unknown] == 2, {unknown,Initialvalue}];
>      x2 = s2[[ 1, 2]]
>
> If I have initialvalue in a list form:
> InitialValues={initialvalue1,initialvalue2,...,initialvalueN}
>
> in which each si should get InitialValues[[i]], in general form:
>
> \!\(s\_i =
>     FindRoot[{f[x\_\(i - 1\), unknown] \[Equal] 2}, {unknown,
>         InitialValues[\([i]\)]}]\)
>
> where
>
> \!\(x\_i = s\_i[\([1, 2]\)]\)
>
> How do I code it in Mathematica please? Thanking in advance...
>
> ~R.G
>
>
> Send instant messages to your online friends http://uk.messenger.yahoo.com



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