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

View source: R/MortSmooth_BWB.R

This is an internal function of package `MortalitySmooth`

which
calculates the inner product of a matrix (from a Kronecker product)
and a sparse weight matrix within the function `Mort2Dsmooth`

. It
construct the LHD of the IWLS algorithm following the idea proposed in
the Generalized Linear Array Models (see references).

1 | ```
MortSmooth_BWB(RTBx, RTBy, nbx, nby, W)
``` |

`RTBx` |
tensors product of B-splines basis for the x-axis. |

`RTBy` |
tensors product of B-splines basis for the y-axis. |

`nbx` |
number of B-splines for the x-axis. |

`nby` |
number of B-splines for the y-axis. |

`W` |
matrix of weights. |

The function employs an arithmetic of arrays which allows to define the LHS of the Poisson system of equations as a sequence of nested matrix operations. Such way of operating with arrays leads to low storage and high speed computation when data are structure as array.

A matrix of inner product of a matrix and a sparse weight matrix.

Carlo G Camarda

Eilers, P. H. C., I. D. Currie, and M. Durban (2006). Fast and compact
smoothing on large multidimensional grids. *Computational
Statistics & Data Analysis*. 50, 61-76.

Currie, I. D., M. Durban, and P. H. C. Eilers (2006). Generalized linear
array models with applications to multidimentional
smoothing. *Journal of the Royal Statistical Society. Series
B*. 68, 259-280.

`Mort2Dsmooth`

,
`Mort2Dsmooth_estimate`

,
`Mort2Dsmooth_update`

.

MortalitySmooth documentation built on May 29, 2017, 7:11 p.m.

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