Man pages for ADtools
Automatic Differentiation Toolbox
| 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) |
