[R] newton.method

Ravi Varadhan rvaradhan at jhmi.edu
Thu Jul 29 17:25:34 CEST 2010


Oops, it should have been:

ans <- multiStart(par=p0.mat, fn=f)

ans$par


Ravi.
____________________________________________________________________

Ravi Varadhan, Ph.D.
Assistant Professor,
Division of Geriatric Medicine and Gerontology
School of Medicine
Johns Hopkins University

Ph. (410) 502-2619
email: rvaradhan at jhmi.edu


----- Original Message -----
From: Ravi Varadhan <rvaradhan at jhmi.edu>
Date: Thursday, July 29, 2010 11:22 am
Subject: Re: [R] newton.method
To: Dennis Murphy <djmuser at gmail.com>
Cc: r-help at r-project.org, sammyny <sjain at caa.columbia.edu>


> Yes, there are two roots.   Try this to get the 2 roots:
>  
>  require(BB)
>  
>  p0.mat <- matrix(rnorm(10), 10, 1) # 10 random starting values
>  
>  ans <- multiStart(par=p0, fn=f)
>  
>  ans$par
>  
>  
>  You can see that the 2 roots are -2.438285 and 7.419378.
>  
>  
>  Hope this helps,
>  
>  Ravi.
>  ____________________________________________________________________
>  
>  Ravi Varadhan, Ph.D.
>  Assistant Professor,
>  Division of Geriatric Medicine and Gerontology
>  School of Medicine
>  Johns Hopkins University
>  
>  Ph. (410) 502-2619
>  email: rvaradhan at jhmi.edu
>  
>  
>  ----- Original Message -----
>  From: Dennis Murphy <djmuser at gmail.com>
>  Date: Thursday, July 29, 2010 8:28 am
>  Subject: Re: [R] newton.method
>  To: sammyny <sjain at caa.columbia.edu>
>  Cc: r-help at r-project.org
>  
>  
>  > Hi:
>  >  
>  >  Interesting. Try the following; f is copied and pasted directly 
> from 
>  > your
>  >  e-mail:
>  >  
>  >  f <- function(x) 2.5*exp(-0.5*(2*0.045 - x)) + 2.5*exp(-0.045) +
>  >  2.5*exp(-1.5*x) - 100
>  >  curve(f, -3, 8)          # plot it in a localized region
>  >  abline(0, 0, lty = 2)
>  >  
>  >  There are two places where the function crosses the x-axis, but 
> not where
>  >  you were expecting. The graph suggests one root between -3 and -2 
> and
>  >  another between 7 and 8: Note that uniroot() takes an object of class
>  >  function as its first argument and a search interval as its 
> second. 
>  > It is
>  >  the R function that finds a zero of a univariate function. See 
>  > ?uniroot for
>  >  details. (And f is a function object; try class(f).)
>  >  
>  >  On Thu, Jul 29, 2010 at 1:32 AM, sammyny <sjain at caa.columbia.edu> 
> wrote:
>  >  
>  >  >
>  >  > Hi,
>  >  > Is this method broken in R? I am using it to find roots of the following
>  >  > function:
>  >  > f(x) = 2.5*exp(-0.5*(2*0.045 - x)) + 2.5*exp(-0.045) + 
>  > 2.5*exp(-1.5*x) -
>  >  > 100
>  >  >
>  >  
>  >  Which method? It is never (conveniently) mentioned...  Function? Package?
>  >  
>  >  >
>  >  > It is giving an answer of -38.4762403 which is not even close 
> (f(x) 
>  > =
>  >  > 2.903809e+25 for x=-38.4762403). The answer should be around 
>  > 0.01-0.1. This
>  >  > function should converge..
>  >  >
>  >  
>  >  > Even for a simple function like  f(x) = exp(-x) * x, it gives 
>  > answer as
>  >  > 8.89210984 for which f(x) = 0.001222392 and I set tolerance to 10^-12..
>  >  >
>  >  
>  >  I see handwaving and fulminating, but no code...
>  >  
>  >  >
>  >  > Also, is there a non graphical version of newton method? I 
> looked at
>  >  > nleqslv
>  >  > but have no idea how to use it..
>  >  >
>  >  
>  >  > Thanks for your help.
>  >  >
>  >  
>  >  HTH,
>  >  Dennis
>  >  
>  >  > --
>  >  > View this message in context:
>  >  > 
>  >  > Sent from the R help mailing list archive at Nabble.com.
>  >  >
>  >  > ______________________________________________
>  >  > R-help at r-project.org mailing list
>  >  > 
>  >  > PLEASE do read the posting guide
>  >  > 
>  >  > and provide commented, minimal, self-contained, reproducible code.
>  >  >
>  >  
>  >  	[[alternative HTML version deleted]]
>  >  
>  >  ______________________________________________
>  >  R-help at r-project.org mailing list
>  >  
>  >  PLEASE do read the posting guide 
>  >  and provide commented, minimal, self-contained, reproducible code.
>  
>  ______________________________________________
>  R-help at r-project.org mailing list
>  
>  PLEASE do read the posting guide 
>  and provide commented, minimal, self-contained, reproducible code.



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