ABxI | Compute A (B %x% I) |
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 |
ADtools-package | ADtools: Automatic Differentiation |
AIxC | Compute A (I %x% C) |
ANY-dual-method | Subtraction of 'dual'-class objects (dual-ANY) |
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) |
BxAZ | Post-multiplying a kronecker product |
BxID | Compute (B %x% I) D |
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) |
chol0 | Cholesky decomposition |
chol0-dual-method | Cholesky decomposition of 'dual'-class objects |
chol-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 | Crossproduct of 'dual'-class objects |
dchisq0 | The density of the chi-squared distribution |
det.dual | Determinant of a 'dual'-class object |
det-dual-method | Determinant of a 'dual'-class object |
dexp0 | The density of the exponential distribution |
dgamma0 | The density of the gamma distribution |
diag_dual | Diagonal matrix |
Diagonal | Diagonal matrix |
Diagonal0 | Diagonal matrix (memoised) |
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-ANY-method | Subtraction of 'dual'-class objects (dual-ANY) |
dual-class | S4 class "dual" |
dual-dual-method | Subtraction of 'dual'-class objects (dual-dual) |
dual-missing-method | Subtraction of 'dual'-class objects (unary dual) |
duals | Converting a list of parameters into a list of dual numbers |
dWishart0 | The density of the Wishart distribution |
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 |
gamma-rv | Simulate gamma random variates |
grapes-times-grapes-ANY-dual-method | Matrix multiplication of 'dual'-class objects (ANY-dual) |
grapes-times-grapes-dual-ANY-method | Matrix multiplication of 'dual'-class objects (dual-ANY) |
grapes-times-grapes-dual-dual-method | Matrix multiplication of 'dual'-class objects (dual-dual) |
head.dual | Return the First or Last Part of an Object |
index-subset | Extract parts of an object |
init_dx | Initialise the dual component |
inverse_transform | Simulation by inverse transform |
IxCD | Compute (I %x% C) D |
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-triangular | Construct a lower triangular matrix from a vector |
matrix | Matrices |
matrix_determinant | Determinant of a matrix |
matrix.dual | Coerce the first component of the dual object into 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 |
plus-ANY-dual-method | Addition of 'dual'-class objects (ANY-dual) |
plus-dual-ANY-method | Addition of 'dual'-class objects (dual-ANY) |
plus-dual-dual-method | Addition of 'dual'-class objects (dual-dual) |
pow-ANY-dual-method | Powers of 'dual'-class objects (ANY-dual) |
pow-dual-ANY-method | Powers of 'dual'-class objects (dual-ANY) |
pow-dual-dual-method | Powers of 'dual'-class objects (dual-dual) |
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 |
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 | Rounding of Numbers |
round-dual-integer-method | 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 |
rWishart0 | Simulate Wishart random variates |
sin-dual-method | Element-wise sine of a dual object |
slash-ANY-dual-method | (Element-wise) Division of 'dual'-class objects (ANY-dual) |
slash-dual-ANY-method | (Element-wise) Division of 'dual'-class objects (dual-ANY) |
slash-dual-dual-method | (Element-wise) Division of 'dual'-class objects (dual-dual) |
solve.dual | Inverse of 'dual'-class objects |
sqrt-dual-method | Element-wise square-root of a dual object |
sum-dual-method | Sum of matrix elements |
tail.dual | Return the First or Last Part of an Object |
tan-dual-method | Element-wise tangent of a dual object |
tcrossprod.dual | Crossproduct of 'dual'-class objects |
t.dual | Transpose of 'dual'-class objects |
tidy_dx | Add rownames and colnames to the dual component |
times-ANY-dual-method | (Element-wise) Multiplication of 'dual'-class objects... |
times-dual-ANY-method | (Element-wise) Multiplication of 'dual'-class objects... |
times-dual-dual-method | (Element-wise) Multiplication of 'dual'-class objects... |
tr | Trace of a matrix |
tr-dual-method | Trace of a matrix |
upper-triangular | Construct an upper triangular matrix from a vector |
vec | Vectorisation |
vec-dual-method | Vectorisation |
vech | Half-vectorisation |
vech-dual-method | Half-vectorisation |
wishart_rv | Simulating from Wishart distribution using Bartlett... |
XBxA | Pre-multiplying a kronecker product |
zero_matrix | Matrix of zeroes |
zero_matrix0 | Matrix of zeroes (memoised) |
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