vech2full {OpenMx} | R Documentation |

## Inverse Half-vectorization

### Description

This function returns the symmetric matrix constructed from a half-vectorization.

### Usage

```
vech2full(x)
```

### Arguments

`x` |
an input single column or single row matrix. |

### Details

The half-vectorization of an input matrix consists of the elements in the lower triangle of the matrix, including the elements along the diagonal of the matrix, as a column vector. The column vector is created by traversing the matrix in column-major order. The inverse half-vectorization takes a vector and reconstructs a symmetric matrix such that `vech2full(vech(x))`

is identical to `x`

if `x`

is symmetric.

Note that very few vectors have the correct number of elements to construct a symmetric matrix. For example, vectors with 1, 3, 6, 10, and 15 elements can be used to make a symmetric matrix, but none of the other numbers between 1 and 15 can. An error is thrown if the number of elements in `x`

cannot be used to make a symmetric matrix.

### See Also

`vechs2full`

, `vech`

, `vechs`

, `rvectorize`

, `cvectorize`

### Examples

```
vech2full(1:10)
matrix(1:16, 4, 4)
vech(matrix(1:16, 4, 4))
vech2full(vech(matrix(1:16, 4, 4)))
```

*OpenMx*version 2.21.11 Index]