Componentwise inequality

In mathematics, a componentwise inequality is an expression of the form:

$x,y \in \real^n \ x \preceq y \iff x_i \leq y_i \ \forall i=1,\ldots,n$^[1][2][3]

The vectors do not have to be real, they can be from any space in which the inequality relation is defined.

See also

• Pointwise#Pointwise_relations

References

1. ^ http://www.ee.ucla.edu/ee236a/lectures/lineqs.pdf
2. ^ http://www.stanford.edu/class/ee364a/lectures/sets.pdf
3. ^ http://www.ece.ucsb.edu/~roy/classnotes/271a/ECE271a_lecture3_small.pdf

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