%*%,ANY,dual-method     Matrix multiplication of 'dual'-class objects
                        (ANY-dual)
%*%,dual,ANY-method     Matrix multiplication of 'dual'-class objects
                        (dual-ANY)
%*%,dual,dual-method    Matrix multiplication of 'dual'-class objects
                        (dual-dual)
*,ANY,dual-method       (Element-wise) Multiplication of 'dual'-class
                        objects (ANY-dual)
*,dual,ANY-method       (Element-wise) Multiplication of 'dual'-class
                        objects (dual-ANY)
*,dual,dual-method      (Element-wise) Multiplication of 'dual'-class
                        objects (dual-dual)
+,ANY,dual-method       Addition of 'dual'-class objects (ANY-dual)
+,dual,ANY-method       Addition of 'dual'-class objects (dual-ANY)
+,dual,dual-method      Addition of 'dual'-class objects (dual-dual)
-,ANY,dual-method       Subtraction of 'dual'-class objects (dual-ANY)
-,dual,ANY-method       Subtraction of 'dual'-class objects (dual-ANY)
-,dual,dual-method      Subtraction of 'dual'-class objects (dual-dual)
-,dual,missing-method   Subtraction of 'dual'-class objects (unary
                        dual)
/,ANY,dual-method       (Element-wise) Division of 'dual'-class objects
                        (ANY-dual)
/,dual,ANY-method       (Element-wise) Division of 'dual'-class objects
                        (dual-ANY)
/,dual,dual-method      (Element-wise) Division of 'dual'-class objects
                        (dual-dual)
ABxI                    Compute A (B %x% I)
AIxC                    Compute A (I %x% C)
BxAZ                    Post-multiplying a kronecker product
BxID                    Compute (B %x% I) D
Diagonal                Diagonal matrix
Diagonal0               Diagonal matrix (memoised)
Extract.dual            Extract parts of an object
IxCD                    Compute (I %x% C) D
XBxA                    Pre-multiplying a kronecker product
^,ANY,dual-method       Powers of 'dual'-class objects (ANY-dual)
^,dual,ANY-method       Powers of 'dual'-class objects (dual-ANY)
^,dual,dual-method      Powers of 'dual'-class objects (dual-dual)
add_vector_to_matrix_column
                        Add a column vector to each column of a matrix
add_vector_to_matrix_row
                        Add a column vector to each row of a matrix
as.matrix.dual          Coerce the first component of the dual object
                        into a matrix.
as.vector,dual-method   Coerce the first component of the dual object
                        into a vector.
auto_diff               Automatic differentiation
band_matrix             Band matrix
band_matrix0            Band matrix (memoised)
cbind2,ANY,dual-method
                        Combine 'dual'-class objects by Columns
                        (ANY-dual)
cbind2,dual,ANY-method
                        Combine 'dual'-class objects by Columns
                        (dual-ANY)
cbind2,dual,dual-method
                        Combine 'dual'-class objects by Columns
                        (dual-dual)
chol,dual-method        Cholesky decomposition of 'dual'-class objects
chol0                   Cholesky decomposition
chol0,dual-method       Cholesky decomposition of 'dual'-class objects
colMeans,dual-method    Column mean of a matrix.
colSums,dual-method     Column sum of a matrix.
commutation_matrix      Commutation matrix
commutation_matrix0     Commutation matrix (memoised)
cos,dual-method         Element-wise cosine of a dual object
crossprod,dual,missing-method
                        Crossproduct of 'dual'-class objects
dWishart0               The density of the Wishart distribution
dchisq0                 The density of the chi-squared distribution
det,dual-method         Determinant of a 'dual'-class object
det.dual                Determinant of a 'dual'-class object
dexp0                   The density of the exponential distribution
dgamma0                 The density of the gamma distribution
diag.dual               Diagonal matrix
dim,dual-method         Dimension of an Object
dinvWishart0            The density of the inverse Wishart distribution
dmvnorm0                The density of the multivariate normal
                        distribution
dmvt0                   The density of the multivariate t distribution
dnorm0                  The density of the normal distribution
dt0                     The density of the student-t distribution
dual                    Dual number constructor
dual-class              S4 class "dual"
duals                   Converting a list of parameters into a list of
                        dual numbers
elimination_matrix      Elimination matrix
elimination_matrix0     Elimination matrix (memoised)
exp,dual-method         Element-wise exponential of a dual object
finite_diff             Finite difference method
gamma,dual-method       Element-wise gamma of a dual object
head.dual               Return the First or Last Part of an Object
inverse_transform       Simulation by inverse transform
kronecker,ANY,dual-method
                        Kronecker multiplication of 'dual'-class
                        objects (ANY-dual)
kronecker,dual,ANY-method
                        Kronecker multiplication of 'dual'-class
                        objects (dual-ANY)
kronecker,dual,dual-method
                        Kronecker product of 'dual'-class objects
                        (dual-dual)
length,dual-method      Length of an Object
log,dual-method         Element-wise logarithm of a dual object
lower_tri_matrix        Construct a lower triangular matrix from a
                        vector
matrix                  Matrices
matrix.dual             Coerce the first component of the dual object
                        into a matrix.
matrix_determinant      Determinant of a matrix
matrix_prod             Interface for optimal matrix chain
                        multiplication
mcm_optimal_order       Find the optimal order of multiplying a matrix
                        chain
mean,dual-method        Mean of vector or matrix elements
ncol,dual-method        Number of columns
nrow,dual-method        Number of rows
one_matrix              Matrix of ones
one_matrix0             Matrix of ones (memoised)
optim_prod              Executing the matrix multiplication given the
                        optimal order
rWishart0               Simulate Wishart random variates
rWishart0,dual,dual-method
                        Simulating from Wishart distribution using
                        Bartlett decomposition
randn                   Generate a matrix randomly from a normal
                        distribution
randu                   Generate a matrix randomly from a uniform
                        distribution
rbind2,ANY,dual-method
                        Combine 'dual'-class objects by Rows (ANY-dual)
rbind2,dual,ANY-method
                        Combine 'dual'-class objects by Rows (dual-ANY)
rbind2,dual,dual-method
                        Combine 'dual'-class objects by Rows
                        (dual-dual)
rchisq0                 Simulate Chi-square random variates
rchisq0,numeric,dual-method
                        Simulate Chi-square random variates
rexp0                   Simulate exponential random variates
rexp0,numeric,dual-method
                        Simulate exponential random variates
rgamma0                 Simulate gamma random variates
rgamma0,numeric,dual,dual-method
                        Simulate gamma random variates
rmvnorm0                Simulate multivariate normal random variates
rmvnorm0_dual           Simulate multivariate normal random variates
rmvt0                   Simulate random variates from the multivariate
                        t distribution
rnorm0                  Simulate univariate normal random variates
round,dual,integer-method
                        Rounding of Numbers
round.dual              Rounding of Numbers
rowMeans,dual-method    Row mean of a matrix.
rowSums,dual-method     Row sum of a matrix.
rt0                     Simulate random variates from the student-t
                        distribution
rt0,numeric,dual-method
                        Simulate random variates from the student-t
                        distribution
sin,dual-method         Element-wise sine of a dual object
solve,dual,missing-method
                        Inverse of 'dual'-class objects
sqrt,dual-method        Element-wise square-root of a dual object
sum,dual-method         Sum of matrix elements
t.dual                  Transpose of 'dual'-class objects
tail.dual               Return the First or Last Part of an Object
tan,dual-method         Element-wise tangent of a dual object
tcrossprod,dual,ANY-method
                        Crossproduct of 'dual'-class objects
tidy_dx                 Add rownames and colnames to the dual component
tr                      Trace of a matrix
tr,dual-method          Trace of a matrix
upper_tri_matrix        Construct an upper triangular matrix from a
                        vector
vec                     Vectorisation
vec,dual-method         Vectorisation
vech                    Half-vectorisation
vech,dual-method        Half-vectorisation
zero_matrix             Matrix of zeroes
zero_matrix0            Matrix of zeroes (memoised)
