BUILT-IN WOLFRAM LANGUAGE SYMBOL

RealBlockDiagonalForm

RealBlockDiagonalForm
is an option for SchurDecomposition and related functions which specifies whether 2×2 blocks of real values should be used on matrix diagonals in place of complex values.

DetailsDetails

ExamplesExamplesopen allclose all

Basic Examples  (1)Basic Examples  (1)

m is a matrix with two real and two complex eigenvalues:

In[1]:=
Click for copyable input
Out[1]=

With RealBlockDiagonalForm->False, the result is complex upper triangular:

In[2]:=
Click for copyable input
In[3]:=
Click for copyable input
Out[3]//MatrixForm=

With RealBlockDiagonalForm->True, there are real 2×2 blocks along the diagonal:

In[4]:=
Click for copyable input
In[5]:=
Click for copyable input
Out[5]//MatrixForm=
Introduced in 2008
(7.0)