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Packages » Macaulay2Doc :: eigenvectors(...,Hermitian=>...)

Synopsis

• Usage:

  eigenvectors(M, Hermitian=>true)

• Consequences:

  • The resulting matrix of eigenvalues is defined over RR, not CC, and, if the original matrix is defined over RR, the matrix of eigenvalues is too.

Further information

• Default value: false
• Function: eigenvectors -- find eigenvectors of a matrix over RR or CC
• Option key: Hermitian -- an optional argument

Caveat

The internal routine uses a different algorithm, only considering the upper triangular elements. So if the matrix is not symmetric or Hermitian, the routine will give incorrect results.

See also

• eigenvectors -- find eigenvectors of a matrix over RR or CC

Functions with optional argument named Hermitian :

• eigenvalues(...,Hermitian=>...) -- Hermitian=>true means assume the matrix is symmetric or Hermitian
• eigenvectors(...,Hermitian=>...) -- Hermitian=>true means assume the matrix is symmetric or Hermitian