# Class "gchol.bdsmatrix"

### Description

Generalized cholesky decomposition of a `bdsmatrix`

object,
A= LDL' where A is symmetric, L is lower triangular with 1 on the diagonal,
and D is diagonal.

### Objects from the Class

These are created by the `gchol`

function.

### Slots

`blocksize`

:Integer vector of block sizes

`blocks`

:Numeric vector containing the blocks

`rmat`

:Dense portion of the decomposition

`rank`

:The rank of A

`Dim`

:Integer vector of length 2 containing the dimension

`Dimnames`

:List of length 2 containing the dimnames

### Methods

- %*%
`signature(x = "gchol.bdsmatrix", y = "matrix")`

: ...- %*%
`signature(x = "gchol.bdsmatrix", y = "numeric")`

: ...- %*%
`signature(x = "matrix", y = "gchol.bdsmatrix")`

: ...- %*%
`signature(x = "numeric", y = "gchol.bdsmatrix")`

: ...- [
`signature(x = "gchol.bdsmatrix")`

: ...- coerce
`signature(from = "gchol.bdsmatrix", to = "matrix")`

: ...- diag
`signature(x = "gchol.bdsmatrix")`

: ...- dim
`signature(x = "gchol.bdsmatrix")`

: ...- show
`signature(object = "gchol.bdsmatrix")`

: ...

### Note

The Cholesky decompostion of a block diagonal symmetric matrix is also
block diagonal symmetric, so is stored in the same manner as a
`bdsmatrix`

object

### Author(s)

Terry Therneau

### See Also

`bdsmatrix`

, `gchol`

### Examples

1 | ```
showClass("gchol.bdsmatrix")
``` |