Alt: Alternating multilinear forms

In wedge: The Exterior Calculus

Description

Converts a k-tensor to alternating form

Usage

Alt(S)

Arguments

S	A multilinear form, an object of class ktensor

Details

Given a k-tensor T, we have

omitted; see PDF

Thus for example if k=3:

omitted; see PDF

and it is reasonably easy to see that Alt(T) is alternating, in the sense that

omitted; see PDF

Function Alt() takes and returns an object of class ktensor.

Value

Returns an alternating k-tensor. To coerce to a k-form, which is a much more efficient representation, use as.kform().

Author(s)

Robin K. S. Hankin

See Also

kform

Examples

S <- as.ktensor(expand.grid(1:3,1:3),rnorm(9))
S
Alt(S)

issmall(Alt(S) - Alt(Alt(S)))  # should be TRUE

wedge documentation built on Sept. 4, 2019, 9:02 a.m.