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 1.2-17

Index]