Hello,

There are several optimization functions in R. There's even a group dedicated to the field. See the CRAN Task View: Optimization and Mathematical Programming.

To use optim(), you could do something like

f <- function(x, y, z) (x^2 - y - z^2/2) # I've changed the function
negf <- function(x) -f(x[1], x[2], x[3])

opt1 <-optim(par = c(1, 2, 0), negf, gr = NULL, method = "L-BFGS-B",
        lower = c(1, 2, -13), upper = c(37, 20, 51))
opt2 <- optim(par = c(1, 2, -13), negf, gr = NULL, method = "L-BFGS-B",
        lower = c(1, 2, -13), upper = c(37, 20, 51))

# Not constrained
optim(par = c(1, 2, 0), negf, gr = NULL, method = "SANN")


Hope this helps,

Rui Barradas

Em 08-07-2012 11:25, Raghuraman Ramachandran escreveu:
Hi Rui

Many thanks for your kind help. I agree in the given example it is +inf.
But I wanted to know more generically that if I have a function with
many variables each one taking a set of values then how can I use an
Optim function? I will look into the help.

Thanks once again.

Raghu

On Sun, Jul 8, 2012 at 11:19 AM, Rui Barradas <ruipbarra...@sapo.pt
<mailto:ruipbarra...@sapo.pt>> wrote:

    Hello,

    You don't need an optimzation routine to know that the maximum of
    this function is +Inf. It's attained at z = 0+ (when z converges to
    zero by positive values).

    This breaks the R function optim(), by the way. It

    " needs finite values of 'fn' "

    Hope this helps,

    Rui Barradas

    Em 08-07-2012 10:15, Raghuraman Ramachandran escreveu:

        guRus!

        I have a function f = exp(x^2-y+(1/z))

        Also, x can take values from 1 to 37, y from 2 to 20 and Z from
        -13 to 51.

        How can I find the maximum of f using any of the optimization
        functions
        please?

        Is there a way to store the possible values of x, y and Z in a
        single
        variable like in a List or in a multi-dimensional array?

        Thanks for your help
        Raghu

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