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SOLUTIONS
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BUILT-IN MATHEMATICA 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
- With RealBlockDiagonalForm->False, complex values can be generated on matrix diagonals from SchurDecomposition and related functions.
- With the default setting RealBlockDiagonalForm->True, complex values are replaced by 2×2 blocks of real values.
ExamplesExamplesopen allclose all
Basic Examples (1)Basic Examples (1)
m is a matrix with two real and two complex eigenvalues:
| In[1]:= |
| Out[1]= |
With RealBlockDiagonalForm->False, the result is complex upper triangular:
| In[2]:= |
| In[3]:= |
Out[3]//MatrixForm= | |
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With RealBlockDiagonalForm->True, there are real 2×2 blocks along the diagonal:
| In[4]:= |
| In[5]:= |
Out[5]//MatrixForm= | |
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