Can someone please explain what an infinity norm is, in laymans terms and why is it useful to know what it is
2006-11-30 16:51:53 · 3 answers · asked by What_a_what 2 in Science & Mathematics ➔ Mathematics
But what does it do to the matrix...oh..i should have added that the infinity norm is when you are dealing with the norm of a matrix..i just have no idea what the infinity norm is
2006-11-30 16:58:27 · update #1
The infinity norm is just the maximum absolute row sum - ie take each row, add together the absolute value of each element. Take the maximum over all your sums.
The reason its important(ish) is because it is one of the 'extreme' norms. Every matrix norm is "between" the 1-norm (which is the same thing, but for columns) and the infinity-norm.
For example, the square of the 2-norm is <= the product of the 1 norm and infinity-norm.
2006-11-30 17:28:52 · answer #1 · answered by stephen m 4 · 0⤊ 1⤋
Technically, it's a norm that goes forever; like infinity?
2006-11-30 16:53:54 · answer #2 · answered by Anonymous · 0⤊ 1⤋
?
2006-11-30 16:53:36 · answer #3 · answered by Iamman 1 · 1⤊ 1⤋