Description Usage Arguments Details Value Author(s) References See Also

The function evaluates the smoothing matrix `H`

, the
matrices *Q* and *S* and their associated
coefficients `c`

and `s`

. This function is not intended to be used directly.

1 |

`n` |
The number of observations. |

`U` |
The the matrix of eigen vectors of the
symmetric smoothing matrix |

`tUy` |
The transpose of the matrix of eigen vectors of the
symmetric smoothing matrix |

`eigenvaluesS1` |
Vector of the eigenvalues of the
symmetric smoothing matrix |

`ddlmini` |
The number of eigen values of |

`k` |
A numeric vector which give the number of iterations. |

`lambda` |
The smoothness coefficient lambda for thin plate splines of
order |

`rank` |
The rank of lowrank splines. |

`Rm1U` |
matrix R^-1U (see reference). |

`index0` |
The index of the first eigen values of |

See the reference for detailed explanation of *Q* (the
semi kernel or radial basis) and
*S* (the polynomial null space).

Returns `beta`

Pierre-Andre Cornillon, Nicolas Hengartner and Eric Matzner-Lober

Wood, S.N. (2003) Thin plate regression
splines. *J. R. Statist. Soc. B*, *65*, 95-114.

Embedding an R snippet on your website

Add the following code to your website.

For more information on customizing the embed code, read Embedding Snippets.