ZAXlist

class:ZAXlist

ZAXlist-class

missingOrNULL

class:missingOrNULL

missingOrNULL-class

%*%-methods

crossprod-methods

tcrossprod-methods

%*%,ZAXlist,Matrix-method

%*%,ZAXlist,matrix-method

%*%,ZAXlist,numeric-method

%*%,numeric,ZAXlist-method

t.ZAXlist

crossprod,ZAXlist,Matrix-method

crossprod,ZAXlist,matrix-method

crossprod,ZAXlist,numeric-method

tcrossprod,ZAXlist,missingOrNULL-method

Kronfacto

class:Kronfacto

Kronfacto-class

dim.Kronfacto

%*%,Kronfacto,numeric-method

crossprod,Kronfacto,Matrix-method

crossprod,Kronfacto,matrix-method

crossprod,Kronfacto,numeric-method

A <code>ZAXlist</code> object is a representation of the &#8220;<code>ZAL</code>&#8221; matrix as an S4 class holding a list of descriptors of each <code>ZAL</code> block for each random effect.
A <code>Kronfacto</code> object is a representation of a Kronecker product as an S4 class holding its factors. Methods defined for this class may avoid the computation of the Kronecker product as an actual matrix of large dimensions.
This documentation is for development purposes and may be incomplete. The objects and methods are not part of the programming interface and are subject to modification without notice.

Inference based on models with or without spatially-correlated random effects, multivariate responses, or non-Gaussian random effects (e.g., Beta). Variation in residual variance (heteroscedasticity) can itself be represented by a mixed-effect model. Both classical geostatistical models (Rousset and Ferdy 2014 <doi:10.1111/ecog.00566>), and Markov random field models on irregular grids (as considered in the 'INLA' package, <https://www.r-inla.org>), can be fitted, with distinct computational procedures exploiting the sparse matrix representations for the latter case and other autoregressive models. Laplace approximations are used for likelihood or restricted likelihood. Penalized quasi-likelihood and other variants discussed in the h-likelihood literature (Lee and Nelder 2001 <doi:10.1093/biomet/88.4.987>) are also implemented.

Franois Rousset

spaMM

Mixed-Effect Models, with or without Spatial Random Effects

François Rousset

Jean-Baptiste Ferdy

Alexandre Courtiol

ZAXlist function

<dl>
 <dt><code>LIST</code>:</dt>
<dd>A list whose each element is a ZAL block represented as either a <code>(M|m)atrix</code>, 
or a list with two elements (and additional class <code>ZA_QCHM</code>): <code>ZA</code>, and the <code><a href="/link/Cholesky?package=spaMM&version=4.5.0" data-mini-rdoc="spaMM::Cholesky">Cholesky</a></code> factor <code>Q_CHMfactor</code> of the precision matrix (<code>L=solve(Q_CHMfactor,system="Lt")</code>).</dd> <dt><code>BLOB</code>:</dt>
<dd>An environment holding <code>lhs</code> and <code>rhs</code>, the factors of the Kronecker product, and other objects initialized as promises. See the source code of the non-exported <code>.def_Kranfacto</code> constructor for further information.</dd> 
</dl>

Slots

S4 classes for structured matrices — ZAXlist

<dl>
 <dt><code>LIST</code>:</dt>
<dd>A list whose each element is a ZAL block represented as either a <code>(M|m)atrix</code>, 
or a list with two elements (and additional class <code>ZA_QCHM</code>): <code>ZA</code>, and the <code><a href='https://rdrr.io/pkg/Matrix/man/Cholesky.html'>Cholesky</a></code> factor <code>Q_CHMfactor</code> of the precision matrix (<code>L=solve(Q_CHMfactor,system="Lt")</code>).</dd>

 <dt><code>BLOB</code>:</dt>
<dd>An environment holding <code>lhs</code> and <code>rhs</code>, the factors of the Kronecker product, and other objects initialized as promises. See the source code of the non-exported <code>.def_Kranfacto</code> constructor for further information.</dd>

 
</dl>

S4 classes for structured matrices

ZAXlist: S4 classes for structured matrices

Description

Usage

Arguments

Slots