Vector Norm
The Norm function calculates several different types of vector
norms for x, depending on the argument p.
Norm(x, p = 2)
x |
Numeric vector; matrices not allowed. |
p |
Numeric scalar or Inf, -Inf; default is 2 |
Norm returns a scalar that gives some measure of the magnitude
of the elements of x. It is called the p-norm for values
-Inf ≤ p ≤ Inf, defining Hilbert spaces on R^n.
Norm(x) is the Euclidean length of a vecor x; same as
Norm(x, 2).Norm(x, p) for finite p is defined as sum(abs(A)^p)^(1/p).Norm(x, Inf) returns max(abs(x)),
while Norm(x, -Inf) returns min(abs(x)).
Numeric scalar (or Inf), or NA if an element of x
is NA.
In Matlab/Octave this is called norm; R's norm function
norm(x, "F") (‘Frobenius Norm’) is the same as Norm(x).
norm of a matrix
Norm(c(3, 4)) #=> 5 Pythagoras triple Norm(c(1, 1, 1), p=2) # sqrt(3) Norm(1:10, p = 1) # sum(1:10) Norm(1:10, p = 0) # Inf Norm(1:10, p = Inf) # max(1:10) Norm(1:10, p = -Inf) # min(1:10)
Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.