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. The "schur.Matrix" class of objects has methods for the following generic functions: det , solve The following components must be included in a legitimate "schur.Matrix" object:

VALUE:

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: