Eigenvalue Decomposition Object
- DESCRIPTION:
-
These are objects of class
"eigen.Matrix"
They represent the eigenvalue decomposition of a matrix.
- GENERATION:
-
This class of objects is returned from the eigen.Matrix function
to represent an eigenvalue decomposition.
- METHODS:
-
The "eigen.Matrix" class of objects has methods for the following generic
functions:
det, expand, facmul, solve
- STRUCTURE:
-
The following components must be included in a legitimate
"eigen.Matrix" object:
- values:
-
a vector containing the eigenvalues of the matrix.
- vectors:
-
the eigenvectors of the matrix, represented as a list with two components
labeled left and right.
If the underlying matrix is complex or real with real eigenvalues,
these components are just the matrices of left and right eigenvectors
of the underlying matrix stored columnwise.
If the matrix is real but has complex eigenvalues, then these eigenvalues
will appear in complex conjugate pairs in values. Rather than store
a complex matrix of eigenvectors, the real and imaginary parts of the
eigenvectors for complex conjugate pairs are stored in the corresponding
columns of left and right.
- SEE ALSO:
-
eigen.Hermitian
,
eigen.Matrix
.