What do you mean by norm
Dear all
I have read in a journal paper this equality for the norm of two vectors. Could please anyone tell me if this can be valid and where i could read further about it since I cannot understand it:
Take the norm:
||X-Y||=maxi|xi-yi|
Shouldn't ||X-Y|| be calculated as the Euclidean distance of two vectors and not just the absolute difference of the two largest elements of the vectors?
Thank you very much
Thank you for your interest
"norm" is the way it is written in the paper
As i understand it, it means the Euclidean norm as given by: http://en.wikipedia.org/wiki/Norm_(mathematics)
See the following: Vector Norm -- from Wolfram MathWorld.
There are many ways to define a "norm".