Macaulay2 » Documentation
Packages » Macaulay2Doc :: eigenvalues(...,Hermitian=>...)

Synopsis

• Usage:

  eigenvalues(M, Hermitian=>true)

• Consequences:

  • The resulting matrix of eigenvalues is defined over RR, not CC.

Further information

• Default value: false
• Function: eigenvalues -- find eigenvalues of a matrix
• 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