minkowski | R Documentation |
Computes a p
-norm of vector \bold{x}
. The norm can be the one (p = 1
)
norm, Euclidean (p = 2
) norm, the infinity (p
= Inf
) norm. The underlying
C
or Fortran
code is inspired on ideas of BLAS Level 1.
minkowski(x, p = 2)
x |
a numeric vector. |
p |
a number, specifying the type of norm desired. Possible values include
real number greater or equal to 1, or Inf, Default value is |
Method of minkowski
for p
= Inf
calls idamax
BLAS function.
For other values, C
or Fortran
subroutines using unrolled cycles are
called.
The vector p
-norm, a non-negative number.
# a tiny example
x <- rnorm(1000)
minkowski(x, p = 1)
minkowski(x, p = 1.5)
minkowski(x, p = 2)
minkowski(x, p = Inf)
x <- x / minkowski(x)
minkowski(x, p = 2) # equal to 1
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