Distribute functions to each of the additive terms

Description

Distribute functions to each of the additive terms

Usage

linear_expand(expr, ...)

distribute_tr(expr)

Arguments

Details

This function maps the functions specified by ... to each of the additive terms of the first argument as follows:

   F(a+b, c) = F(a, c) + F(b, c)
 

... can be any function with linear property above.
For examole,
"tr", "t", "Diag", "vec", "vech", "Expand", "mat2sum", "mD"

Examples

linear_expand("F(a+b,C+D)","F")
linear_expand("F(G(a + b,Y)+G(c+d), X)","F")
linear_expand("F(G(a + b,Y)+G(c+d), X)","G")
linear_expand("F(G(a + b,Y)+G(c+d), X)","G", "F")

linear_expand("mD( tr( A%*%X+t(X)%*%B, X ) )",  "mD", "tr")