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

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

See also #

abs, hypot

Fork me on GitHub