R: Class "Schur" of Schur Matrix Factorizations

Schur-class {Matrix} | R Documentation

## 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()

[Package Matrix version 1.4-1 Index]