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DOCUMENTATION CENTER SEARCH
Mathematica
>
Matrix-Based Minimization
>
Built-in
Mathematica
Symbol
Vectors and Matrices
Vector Operations
Tutorials »
|
Normalize
Abs
EuclideanDistance
Dot
Total
RootMeanSquare
SingularValueList
Integrate
Outer
See Also »
|
Linear Systems
Math & Counting Operations on Lists
Matrices and Linear Algebra
Matrix-Based Minimization
Numerical Evaluation & Precision
Operations on Vectors
More About »
Norm
Norm
[
expr
]
gives the norm of a number or array.
Norm
[
expr
,
p
]
gives the
-norm.
MORE INFORMATION
For complex numbers,
Norm
[
z
]
is
Abs
[
z
]
.
For vectors,
Norm
[
v
]
is
Sqrt
[
v
.
Conjugate
[
v
]]
.
»
For vectors,
Norm
[
v
,
p
]
is
Total
[
Abs
[
v
]
p
]
(1/
p
)
.
For vectors,
Norm
[
v
,
Infinity
]
is the
-norm given by
Max
[
Abs
[
v
]]
.
»
For matrices,
Norm
[
m
]
gives the maximum singular value of
m
.
»
Norm
[
m
, "Frobenius"]
gives the Frobenius norm of
m
.
»
Norm
can be used on
SparseArray
objects.
»
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Norm of a vector:
In[1]:=
Out[1]=
Norm of a complex number:
In[1]:=
Out[1]=
Scope
(3)
Generalizations & Extensions
(6)
Applications
(3)
Properties & Relations
(4)
Possible Issues
(1)
Neat Examples
(2)
SEE ALSO
Normalize
Abs
EuclideanDistance
Dot
Total
RootMeanSquare
SingularValueList
Integrate
Outer
TUTORIALS
Vectors and Matrices
Vector Operations
MORE ABOUT
Linear Systems
Math & Counting Operations on Lists
Matrices and Linear Algebra
Matrix-Based Minimization
Numerical Evaluation & Precision
Operations on Vectors
New in 5
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