tensorProduct function

Tensor product for univariate functions on one-dimensional domains

This function calculates tensor product functions for up to three objects of class funData defined on one-dimensional domains.

tensorProduct(...)

Arguments

• ...: Two or three objects of class funData, that must be defined on a one-dimensional domain, each.

Returns

An object of class as funData that corresponds to the tensor product of the input functions.

Warning

The function is only implemented for up to three functions on one-dimensional domains.

Examples

### Tensor product of two functional data objects
x <- seq(0, 2*pi, 0.1)
f1 <- funData(x, outer(seq(0.75, 1.25, 0.1), sin(x)))
y <- seq(-pi, pi, 0.1)
f2 <- funData(y, outer(seq(0.25, 0.75, 0.1), sin(y)))

plot(f1, main = "f1")
plot(f2, main = "f2")

tP <- tensorProduct(f1, f2)
dimSupp(tP)
plot(tP, obs = 1)

### Tensor product of three functional data objects
z <- seq(-1, 1, 0.05)
f3 <- funData(z, outer(seq(0.75, 1.25, 0.1), z^2))

plot(f1, main = "f1")
plot(f2, main = "f2")
plot(f3, main = "f3")

tP2 <- tensorProduct(f1, f2, f3)
dimSupp(tP2)

See Also

funData