MATLAB Function Reference 
Minimize a function of one variable
Note
The fmin function was replaced by fminbnd in Release 11 (MATLAB 5.3). In Release 12 (MATLAB 6.0), fmin displays a warning message and calls fminbnd .

Syntax
x = fmin('fun',x1,x2) x = fmin('fun',x1,x2,options) x = fmin('fun',x1,x2,options,P1,P2, ...) [x,options] = fmin(...)
Description
x = fmin('fun',x1,x2)
returns a value of x
which is a local minimizer of fun(x)
in the interval .
x = fmin('fun',x1,x2,options)
does the same as the above, but uses options
control parameters.
does the same as the above, but passes arguments to the objective function, x = fmin('
fun',x1,x2,options,P1,P2,...)
fun(x,P1,P2,...)
. Pass an empty matrix for options
to use the default value.
[x,options] = fmin(...)
returns, in options(10)
, a count of the number of steps taken.
Arguments
Examples
fmin('cos',3,4)
computes to a few decimal places.
fmin('cos',3,4,[1,1.e12])
displays the steps taken to compute to 12 decimal places.
To find the minimum of the function on the interval (0,
2), write an Mfile called f.m
.
The value of the function at the minimum is
Algorithm
The algorithm is based on golden section search and parabolic interpolation. A Fortran program implementing the same algorithms is given in [1].
See Also
fmins
, fzero
, foptions
in the Optimization Toolbox (or type help
foptions
).
References
[1] Forsythe, G. E., M. A. Malcolm, and C. B. Moler, Computer Methods for Mathematical Computations, PrenticeHall, 1976.
flow  fminbnd 