Matrix (version 1.5-1)

Schur-class: Class "Schur" of Schur Matrix Factorizations

Description

Class "Schur" is the class of Schur matrix factorizations. These are a generalization of eigen value (or “spectral”) decompositions for general (possibly asymmmetric) square matrices, see the Schur() function.

Objects from the Class

Objects of class "Schur" are typically created by Schur().

Slots

"Schur" has slots

T:

Upper Block-triangular Matrix object.

Q:

Square orthogonal "Matrix".

EValues:

numeric or complex vector of eigenvalues of T.

Dim:

the matrix dimension: equal to c(n,n) of class "integer".

Extends

Class "MatrixFactorization", directly.

See Also

Schur() for object creation; MatrixFactorization.

Examples

showClass("Schur")
Schur(M <- Matrix(c(1:7, 10:2), 4,4))
## Trivial, of course:
str(Schur(Diagonal(5)))

## for more examples, see Schur()