MatrixFactorization-class {Matrix} | R Documentation |

## Class "MatrixFactorization" of Matrix Factorizations

### Description

The class `"MatrixFactorization"`

is the virtual (super) class of
(potentially) all matrix factorizations of matrices from package
Matrix.

The class `"CholeskyFactorization"`

is the virtual class of all
Cholesky decompositions from Matrix (and trivial sub class of
`"MatrixFactorization"`

).

### Objects from the Class

A virtual Class: No objects may be
created from it.

### Slots

`Dim`

:Object of class `"integer"`

- the dimensions
of the original matrix - must be an integer vector with exactly two
non-negative values.

### Methods

- dim
`(x)`

simply returns `x@Dim`

, see above.

- expand
`signature(x = "MatrixFactorization")`

: this has
not been implemented yet for all matrix factorizations. It should
return a list whose components are matrices which when multiplied
return the original `Matrix`

object.

- show
`signature(object = "MatrixFactorization")`

: simple
printing, see `show`

.

- solve
`signature(a = "MatrixFactorization", b= .)`

: solve
`A x = b`

for `x`

; see `solve-methods`

.

### See Also

classes inheriting from `"MatrixFactorization"`

, such as
`LU`

,
`Cholesky`

,
`CHMfactor`

, and
`sparseQR`

.

### Examples

```
showClass("MatrixFactorization")
getClass("CholeskyFactorization")
```

[Package

*Matrix* version 1.5-3

Index]