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JordanDecomposition

  • JordanDecomposition[ m ] yields the Jordan decomposition of a square matrix m. The result is a list s , j where s is a similarity matrix and j is the Jordan canonical form of m.
  • The original matrix m is equal to s . j . Inverse[s].
  • The matrix m can be either numerical or symbolic.
  • See the Mathematica book: Section 3.7.10.
  • See also: Eigensystem, SingularValues, QRDecomposition, SchurDecomposition, MatrixExp.

    Further Examples

    This is the Jordan decomposition of a 4 x 4 matrix.

    In[1]:=

    This is the Jordan decomposition of a x matrix.

    In[2]:=

    Out[2]=

    This is a check.

    In[3]:=

    Out[3]//MatrixForm=

    In[4]:=