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BUILT-IN MATHEMATICA SYMBOL
Symbolic Mathematics: Basic Operations
Inequalities
Minimization and Maximization
Constrained Optimization
Unconstrained Optimization
Tutorials »
|
NMinValue
NMinimize
NArgMax
ArgMin
FindArgMin
LinearProgramming
See Also »
|
Optimization
Summary of New Features in 7.0
New in 7.0: Alphabetical Listing
New in 7.0: Mathematics & Algorithms
More About »
NArgMin
NArgMin
gives a position
at which
f
is numerically minimized.
NArgMin
gives a position
at which
f
is numerically minimized.
NArgMin
gives a position at which
f
is numerically minimized subject to the constraints
cons
.
MORE INFORMATION
NArgMin
returns a list of the form
.
NArgMin
is effectively equivalent to
{
x
,
y
,
...
}/.
Last
[
NMinimize
[
...
, {
x
,
y
,
...
},
...
]
.
cons
can contain equations, inequalities, or logical combinations of these.
NArgMin
always attempts to find a global minimum of
f
subject to the constraints given.
By default, all variables are assumed to be real.
x
Integers
can be used to specify that a variable can take on only integer values.
If
f
and
cons
are linear,
NArgMin
can always find global minima, over both real and integer values.
Otherwise,
NArgMin
may sometimes find only a local minimum.
If
NArgMin
determines that the constraints cannot be satisfied, it returns
{
Indeterminate
,
...
}
.
NArgMin
takes the same options as
NMinimize
.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Find a minimizer point for a univariate function:
Find a minimizer point for a multivariate function:
Find a minimizer point for a function subject to constraints:
Find a minimizer point for a univariate function:
In[1]:=
Out[1]=
Find a minimizer point for a multivariate function:
In[1]:=
Out[1]=
Find a minimizer point for a function subject to constraints:
In[1]:=
Out[1]=
Applications
(2)
Find the lengths of sides of a unit area rectangle with minimal perimeter:
Find the lengths of sides of a unit area triangle with minimal perimeter:
Properties & Relations
(1)
NMinimize
gives both the value of the minimum and the minimizer point:
NArgMin
gives the minimizer point:
NMinValue
gives the minimum:
Possible Issues
(2)
The objective function may be unbounded:
There may be no points satisfying the constraints:
SEE ALSO
NMinValue
NMinimize
NArgMax
ArgMin
FindArgMin
LinearProgramming
TUTORIALS
Symbolic Mathematics: Basic Operations
Inequalities
Minimization and Maximization
Constrained Optimization
Unconstrained Optimization
MORE ABOUT
Optimization
Summary of New Features in 7.0
New in 7.0: Alphabetical Listing
New in 7.0: Mathematics & Algorithms
New in 7