HessenbergDecomposition

HessenbergDecomposition[m]

gives the Hessenberg decomposition of a numerical matrix m.

Details and Options

  • 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

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Basic Examples  (1)

Find the Hessenberg decomposition of a 4×4 matrix:

In[1]:=
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Out[1]=

The matrix h is an upper Hessenberg matrix:

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

Scope  (2)

Applications  (1)

Properties & Relations  (1)

Possible Issues  (1)

Introduced in 2004
(5.1)