Function norm #
Calculate the norm of a number, vector or matrix.
The second parameter p is optional. If not provided, it defaults to 2.
Syntax #
math.norm(x)
math.norm(x, p)
Parameters #
| Parameter | Type | Description |
|---|---|---|
x |
number | BigNumber | Complex | Array | Matrix | Value for which to calculate the norm |
p |
number | BigNumber | string | Vector space. Supported numbers include Infinity and -Infinity. Supported strings are: ‘inf’, ‘-inf’, and ‘fro’ (The Frobenius norm) Default value: 2. |
Returns #
| Type | Description |
|---|---|
| number | BigNumber | the p-norm |
Throws #
Type | Description —- | ———–
Examples #
math.abs(-3.5) // returns 3.5
math.norm(-3.5) // returns 3.5
math.norm(math.complex(3, -4)) // returns 5
math.norm([1, 2, -3], Infinity) // returns 3
math.norm([1, 2, -3], -Infinity) // returns 1
math.norm([3, 4], 2) // returns 5
math.norm([[1, 2], [3, 4]], 1) // returns 6
math.norm([[1, 2], [3, 4]], 'inf') // returns 7
math.norm([[1, 2], [3, 4]], 'fro') // returns 5.477225575051661
