compMin -- takes componentwise minimum or maximum of a list of lists

Synopsis

Usage:

compMin L

compMin(L1,L2)

compMax L

compMax(L1,L2)
Inputs:
- L, a list, containing lists of the same length
Outputs:
- a list, with the same length as those in L

Description

The functions compMin and compMax take the minimum and maximum, respectively, of a list of lists of integers (or elements of another partially ordered set) by considering each component separately.

i1 : L = {{3,4,1},{5,8,1},{10,2,7}}

o1 = {{3, 4, 1}, {5, 8, 1}, {10, 2, 7}}

o1 : List

i2 : compMin L

o2 = {3, 2, 1}

o2 : List

i3 : compMax L

o3 = {10, 8, 7}

o3 : List

The usage compMin(L1,L2) gives the same output as compMin {L1,L2}.

Caveat

If L is empty it will be returned unchanged.

Ways to use `compMin` :

"compMin(List)"
"compMin(List,List)"

For the programmer