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.

Details

Examples

Basic Examples  (1)

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

In[1]:=
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Out[1]=

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

In[2]:=
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In[3]:=
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Out[3]//MatrixForm=

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

In[4]:=
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In[5]:=
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Out[5]//MatrixForm=

See Also

SchurDecomposition  Eigensystem

Introduced in 2008
(7.0)