mxAlgebraObjective {OpenMx}R Documentation

Function to Create MxAlgebraObjective Object


This function creates a new MxAlgebraObjective object.


mxAlgebraObjective(algebra, numObs = NA, numStats = NA)


algebra A character string indicating the name of an MxAlgebra or MxMatrix object to use for optimization.
numObs (optional) An adjustment to the total number of observations in the model.
numStats (optional) An adjustment to the total number of observed statistics in the model.


Objective functions are functions for which free parameter values are chosen such that the value of the objective function is minimized. While the other objective functions in OpenMx are packaged with a function to be optimized (i.e., maximum likelihood), the mxAlgebraObjective function uses the referenced MxAlgebra or MxMatrix object as the function to be minimized.

If a model's primary objective function is a mxAlgebraObjective objective function, then the referenced algebra in the objective function must return a 1 x 1 matrix (when using OpenMx's default optimizer). There is no restriction on the dimensions of an objective function that is not the primary, or ‘topmost’, objective function.

To evaluate an algebra objective function, place the following objects in a MxModel object: a MxAlgebraObjective, MxAlgebra and MxMatrix entities referenced by the MxAlgebraObjective, and optional MxBounds and MxConstraint entities. This model may then be evaluated using the mxRun function. The results of the optimization may be obtained using the mxEval function on the name of the MxAlgebra, after the model has been run.


Returns a new MxAlgebraObjective object. MxAlgebraObjective objects should be included with models with referenced MxAlgebra and MxMatrix objects.


The OpenMx User's guide can be found at

See Also

mxAlgebra to create an algebra suitable as a reference function to be minimized. More information about the OpenMx package may be found here.


# Create a matrix 'A' with no free parameters
A <- mxMatrix('Full', nrow = 1, ncol = 1, values = c(0), name = 'A')

# Create an algebra 'B', which defines the expression A + A
B <- mxAlgebra(A + A, name = 'B')

# Define the objective function for algebra 'B'
objective <- mxAlgebraObjective('B')

# Place the algebra, its associated matrix and 
# its objective function in a model
model <- mxModel(A, B, objective)

# Evalulate the algebra
modelRun <- mxRun(model)

# View the results

[Package OpenMx version 1.0.0-1448 Index]