Nothing

```
######################################################################
#Copyright Jason Rudy & Faramarz Valafar 2009-2010
#This program is free software: you can redistribute it and/or modify
#it under the terms of the GNU General Public License as published by
#the Free Software Foundation, either version 3 of the License, or
#(at your option) any later version.
#This program is distributed in the hope that it will be useful,
#but WITHOUT ANY WARRANTY; without even the implied warranty of
#MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
#GNU General Public License for more details.
#You should have received a copy of the GNU General Public License
#along with this program. If not, see <http://www.gnu.org/licenses/>.
######################################################################
CL_P <-
function(x,y,s,mu,A,c,inds){
n <- length(inds)
k <- length(x)
out <- matrix(0,k,n)
for(i in 1:n){
ki <- length(inds[[i]])
w1bar <- x[inds[[i]]] + mu[i]*s[inds[[i]]]
w2bar <- mu[i]*x[inds[[i]]] + s[inds[[i]]]
wbar <- jordan_sqrt(jordan_square(w1bar) + jordan_square(w2bar) + 2*(mu[i]^2)*jordan_identity(ki))
Lwinv <- solve(jordan_sym(wbar))
out[inds[[i]],i] <- x[inds[[i]]] + s[inds[[i]]] - Lwinv %*% (jordan_sym(w1bar) %*% s[inds[[i]]] + jordan_sym(w2bar) %*% x[inds[[i]]] + 2*mu[i]*jordan_identity(ki))
}
return(out)
}
```

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