Helper functions to parametrize positive semidefinite matrices in multivariate variogram models.

1 2 3 4 5 6 7 8 9 |

`A` |
a positiv definit matrix of the given type |

`p` |
a vector of parameters describing the matrix, as returned by the parameter functions. |

The rank 1 matrix is parametrised by the first eigenvector scaled by
the square root of the eigenvalue. The positiv semidefinit matrix the
entries of a upper right triangular matrix R with
`t(R)%*%R==A`

. The clr matrices are work with the parameters of
the corresponding ilr matrix.

A or p, depending on what is not given.

K.Gerald v.d. Boogaart http://www.stat.boogaart.de

`vgram2lrvgram`

,
`CompLinModCoReg`

,
`vgmFit`

1 2 3 4 | ```
parametricRank1Mat(c(0,0,2))
parametricPosdefMat(c(0,0,1,0,0,0))
parameterRank1Mat(matrix(1,nr=3,nc=3))
parameterPosdefMat(diag(5))
``` |

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