This function give an alternative constructor for the pdBlocked
class, representing a positive-definite block-diagonal matrix. Each
block-diagonal element of the underlying matrix is itself a
positive-definite matrix and is represented internally as an
individual pdMat object. When value is
numeric(0), a list of uninitialized pdMat objects, a
list of one-sided formulas, or a list of vectors of character strings,
object is returned as an uninitialized pdBlocked object
(with just some of its attributes and its class defined) and needs to
have its coefficients assigned later, generally using the coef
or matrix replacement functions. If value is a list of initialized
pdMat objects, object will be constructed from the list
obtained by applying as.matrix to each of the pdMat
elements of value. Finally, if value is a list of
numeric vectors, they are assumed to represent the unrestricted
coefficients of the block-diagonal elements of the underlying
positive-definite matrix.
# S3 method for pdBlocked
pdConstruct(object, value, form, nam, data, pdClass,
...)a pdBlocked object representing a positive-definite
block-diagonal matrix, also inheriting from class pdMat.
an object inheriting from class "pdBlocked",
representing a positive definite block-diagonal matrix.
an optional list with elements to be used as the
value argument to other pdMat constructors. These
include: pdMat objects, positive-definite
matrices, one-sided linear formulas, vectors of character strings, or
numeric vectors. All elements in the list must be similar (e.g. all
one-sided formulas, or all numeric vectors). Defaults to
numeric(0), corresponding to an uninitialized object.
an optional list of one-sided linear formula specifying the
row/column names for the block-diagonal elements of the matrix
represented by object. Because factors may be present in
form, the formulas needs to be evaluated on a data.frame to
resolve the names they defines. This argument is ignored when
value is a list of one-sided formulas. Defaults to NULL.
an optional list of vector of character strings specifying the
row/column names for the block-diagonal elements of the matrix
represented by object. Each of its components must have
length equal to the dimension of the corresponding block-diagonal
element and unreplicated elements. This argument is ignored when
value is a list of vector of character strings. Defaults to
NULL.
an optional data frame in which to evaluate the variables
named in value and form. It is used to
obtain the levels for factors, which affect the
dimensions and the row/column names of the underlying matrix. If
NULL, no attempt is made to obtain information on
factors appearing in the formulas. Defaults to the
parent frame from which the function was called.
an optional vector of character strings naming the
pdMat classes to be assigned to the individual blocks in the
underlying matrix. If a single class is specified, it is used for all
block-diagonal elements. This argument will only be used when
value is missing, or its elements are not pdMat
objects. Defaults to "pdSymm".
some methods for this generic require additional arguments. None are used in this method.
José Pinheiro and Douglas Bates bates@stat.wisc.edu
Pinheiro, J.C., and Bates, D.M. (2000) "Mixed-Effects Models in S and S-PLUS", Springer.
as.matrix.pdMat,
coef.pdMat,
pdBlocked,
pdClasses,
pdConstruct,
matrix<-.pdMat
pd1 <- pdBlocked(list(c("A","B"), c("a1", "a2", "a3")))
pdConstruct(pd1, list(diag(1:2), diag(c(0.1, 0.2, 0.3))))
Run the code above in your browser using DataLab