Compute the p-norm of the matrix a. If the second argument is missing,
p = 2
is assumed.If a is a matrix:
- p =
1
- 1-norm, the largest column sum of the absolute values of a.
- p =
2
- Largest singular value of a.
- p =
Inf
or"inf"
- Infinity norm, the largest row sum of the absolute values of a.
- p =
"fro"
- Frobenius norm of a,
sqrt (sum (diag (
a' *
a)))
.If a is a vector or a scalar:
- p =
Inf
or"inf"
max (abs (
a))
.- p =
-Inf
min (abs (
a))
.- p =
"fro"
- Frobenius norm of a,
sqrt (sumsq (abs (a)))
.- other
- p-norm of a,
(sum (abs (
a) .^
p)) ^ (1/
p)
.