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Matrix Decompositions
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SchurDecomposition
QRDecomposition
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Matrix Decompositions
More About »
HessenbergDecomposition
HessenbergDecomposition
[
m
]
gives the Hessenberg decomposition of a matrix
m
.
MORE INFORMATION
The result is given in the form
{
p
,
h
}
where
p
is a unitary matrix such that
p
.
h
.
Conjugate
[
Transpose
[
p
]]
m
.
The matrix
m
must be square.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Find the Hessenberg decomposition of a 4×4 matrix:
In[1]:=
Out[1]=
The matrix
h
is an upper Hessenberg matrix:
In[2]:=
Out[2]//MatrixForm=
Scope
(2)
Applications
(1)
Properties & Relations
(1)
Possible Issues
(1)
SEE ALSO
SchurDecomposition
QRDecomposition
TUTORIALS
Advanced Matrix Operations
MORE ABOUT
Matrix Decompositions
New in 5.1
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