mpi.reduce and mpi.allreduce are global reduction operations. 
  mpi.reduce combines each member's result, using the operation 
  op, and returns the combined value(s) to the member specified by 
  the argument dest. mpi.allreduce is the same as 
  mpi.reduce except that all members receive the combined value(s).
mpi.reduce(x, type=2, op=c("sum","prod","max","min","maxloc","minloc"), 
	dest = 0, comm = 1) mpi.allreduce(x, type=2, op=c("sum","prod","max","min","maxloc","minloc"), 
	comm = 1)
mpi.reduce returns the combined value(s) to the member specified  
  by dest. mpi.allreduce returns the combined values(s) to 
  every member in a comm. The combined value(s) may be the summation, 
  production, maximum, or minimum specified by the argument op. If 
  the op is either "maxloc" or "minloc", then the maximum (minimum) 
  value(s) along the maximum (minimum) rank(s) will be returned.
data to be reduced. Must be the same dim and the same type for all members.
1 for integer and 2 for double. Others are not supported.
one of "sum", "prod", "max", "min", "maxloc", or "minloc".
rank of destination
a communicator number
Hao Yu
It is important that all members in a comm call either all mpi.reduce 
  or all mpi.allreduce even though the master may not be in 
  computation. They must provide exactly the same type and dim 
  vectors to be reduced. If the operation "maxloc" or "minloc" is used, 
  the combined vector is twice as long as the original one since the 
  maximum or minimum ranks are included.
mpi.gather.