Schur Decomposition Object
- DESCRIPTION:
-
These are objects of class
"schur.Matrix"
They represent the Schur decomposition of a matrix.
- GENERATION:
-
This class of objects is returned from the schur.Matrix function
to represent an Schur factorization.
- METHODS:
-
The "schur.Matrix" class of objects has methods for the following generic
functions:
det, solve
- STRUCTURE:
-
The following components must be included in a legitimate "schur.Matrix"
object:
- form:
-
a matrix containing either the Schur form of a complex matrix or else the
real Schur form of a non-complex (numeric) matrix. The Schur form of a complex
matrix is a triangular matrix in which the diagonal entries are the
eigenvalues of the original matrix. The real Schur form of a numeric matrix is
a quasi-triangular matrix in which the diagonal consists of a 1 by 1 block
for each real eigenvalue and a 2 by 2 block for each complex eigenvalue of
the original matrix.
- vectors:
-
the Schur vectors of the matrix, as columns of an orthonormal (or unitary if
complex) matrix.
- SEE ALSO:
-
schur.Matrix