p-norm of a vector
Computes the p-norm of a vector
vecnorm(x, p=2)
x |
the vector whose norm is sought (either numeric or complex). |
p |
a number or character string indicating the type of norm desired. Possible values include real number greater or
equal to 1, |
requested p-norm of input vector.
## compare 2-norm calculations x <- rnorm(100) sqrt(sum(x*x)) vecnorm(x) ## compare 2-norm of series which sums to Inf. The ## vecnorm returns a finite value in this case. x <- rep(sqrt(.Machine$double.xmax), 4) sqrt(sum(x*x)) vecnorm(x) ## 1-norm comparison sum(abs(x)) vecnorm(x, p=1) ## L-infinity norm comparison max(abs(x)) vecnorm(x, p=Inf)
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