LocateMinimum
LocateMinimum[
f
,
{
x
,
}] searches for a local minimum in
f
, starting from the point
x
=
.
LocateMinimum[
f
,
{
x
,
{
,
}}] searches for a local minimum in
f
using
and
as the first two values of
x
. This form must be used if symbolic derivatives of
f
cannot be found.
LocateMinimum[
f
,
{
x
,
xstart
,
xmin
,
xmax
}] searches for a local minimum, stopping the search if
x
ever gets outside the range
xmin
to
xmax
.
LocateMinimum[
f
,
{
x
,
}
,
{
y
,
}
,
...
] searches for a local minimum in a function of several variables.
LocateMinimum
works by following the path of steepest descent from each point that it reaches. The minima it finds are local, but not necessarily
global.
See also:
LocateRoot
,
SolveEquation
,
SolveODE
.
Examples
Using InstantCalculators
Here are the InstantCalculators for the
LocateMinimum
function. Enter the parameters for your calculation and click
Calculate
to see the result.
In[1]:=
Out[1]=
In[2]:=
Out[2]=
In[3]:=
Out[3]=
Entering Commands Directly
You can paste a template for this command via the Text Input button on the
LocateMinimum
Function Controller.
This finds the value of
x
which minimizes
Gamma[x]
, starting from
x
=
2
.
In[4]:=
Out[4]=
This finds the local minimum of a function of two variables. As in
LocateRoot
, it is a good idea to choose starting values that are not too special.
In[5]:=
Out[5]=
