pdMatrix: Extract Matrix or Square-Root Factor from a pdMat Object

In nlme: Linear and Nonlinear Mixed Effects Models

Extract Matrix or Square-Root Factor from a pdMat Object

Description

The positive-definite matrix represented by object, or a square-root factor of it is obtained. Letting \Sigma denote a positive-definite matrix, a square-root factor of \Sigma is any square matrix L such that \Sigma = L'L. This function extracts \Sigma or L.

Usage

pdMatrix(object, factor)

Arguments

object	an object inheriting from class pdMat, representing a positive definite matrix.
factor	an optional logical value. If TRUE, a square-root factor of the positive-definite matrix represented by object is returned; else, if FALSE, the positive-definite matrix is returned. Defaults to FALSE.

Value

if factor is FALSE the positive-definite matrix represented by object is returned; else a square-root of the positive-definite matrix is returned.

Author(s)

José Pinheiro and Douglas Bates [e-mail]

References

Pinheiro, J.C., and Bates, D.M. (2000) "Mixed-Effects Models in S and S-PLUS", Springer, esp. p. 162.

See Also

as.matrix.pdMat, pdClasses, pdFactor, pdMat, pdMatrix.reStruct, corMatrix

Examples

pd1 <- pdSymm(diag(1:4))
pdMatrix(pd1)

nlme documentation built on Nov. 27, 2023, 5:09 p.m.