outer: Outer product.

In madness: Automatic Differentiation of Multivariate Operations

Outer product.

Description

Computes the outer product (or sum, quotient, etc) of the Cartesian product of two inputs.

Usage

## S4 method for signature 'ANY,ANY'
outer(X, Y, FUN = "*", ...)

## S4 method for signature 'madness,madness'
outer(X, Y, FUN = "*", ...)

## S4 method for signature 'madness,array'
outer(X, Y, FUN = "*", ...)

## S4 method for signature 'array,madness'
outer(X, Y, FUN = "*", ...)

X %o% Y

## S4 method for signature 'madness,madness'
kronecker(X, Y)

## S4 method for signature 'madness,array'
kronecker(X, Y)

## S4 method for signature 'array,madness'
kronecker(X, Y)

Arguments

X, Y	madness or numeric matrix values.
FUN	a function to use on the outer products, found via match.fun (except for the special case "*").
...	optional arguments to be passed to FUN.

Value

a madness object.

Author(s)

Steven E. Pav [e-mail]

Examples

set.seed(123)
y <- array(rnorm(3*3),dim=c(3,3))
dy <- matrix(rnorm(length(y)*2),ncol=2)
dx <- crossprod(matrix(rnorm(ncol(dy)*100),nrow=100))
obj0 <- madness(val=y,vtag='y',xtag='x',dvdx=dy,varx=dx)

y1 <- array(rnorm(3*3),dim=c(3,3))
dy1 <- matrix(rnorm(length(y1)*2),ncol=2)
dx1 <- crossprod(matrix(rnorm(ncol(dy1)*100),nrow=100))
obj1 <- madness(val=y1,vtag='y1',xtag='x',dvdx=dy1,varx=dx1)

anobj <- outer(obj0,obj0,'*')
anobj <- outer(obj0,obj0,'+')
anobj <- outer(obj0,obj1,'-')
anobj <- outer(obj0,obj1,'/')

madness documentation built on Aug. 21, 2023, 9:07 a.m.