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
norm(x)
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 |
Examples
abs(-3.5); // returns 3.5
norm(-3.5); // returns 3.5
norm(complex(3, -4)); // returns 5
norm([1, 2, -3], Infinity); // returns 3
norm([1, 2, -3], -Infinity); // returns 1
norm([3, 4], 2); // returns 5
norm([[1, 2], [3, 4]], 1) // returns 6
norm([[1, 2], [3, 4]], 'inf'); // returns 7
norm([[1, 2], [3, 4]], 'fro'); // returns 5.477225575051661