infinity - What is the `norm` in matlab? -

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i came norm function in matlab, , checked documentation, wasn't clear me. can clarify does?

moreover, when selecting inf, which, based on documentations "returns infinity norm", mean?

a norm raises each value power, adds them takes root (the value-th root). may recognise 2 norm distance between 2 points calculations

data: 2,3,5

2 norm: square root(2^2 + 3^2 + 5^2) 3 norm: cube root(2^3 + 3^3 + 5^3) 4 norm: 4th root(2^4 + 3^4 + 5^4)

etc etc etc

interestingly:

99999 norm = 99999th root(2^99999 + 3^99999 + 5^99999) approximately equals 5 (the largest value)

so:

infinity norm= infinityth root(2^infinity + 3^infinity + 5^infinity)=5

basically infinity norm ends being largest value


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