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

Description Objects from the Class Slots Extends See Also Examples

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

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

## for more examples, see Schur()

Matrix documentation built on Nov. 17, 2017, 6:09 a.m.