Scilab 5.5.2
Please note that the recommended version of Scilab is 2025.0.0. This page might be outdated.
See the recommended documentation of this function
norm
matrix norm
Calling Sequence
[y]=norm(x [,flag])
Arguments
- x
real or complex vector or matrix (full or sparse storage)
- flag
string (type of norm) (default value =2)
- y
norm
Description
For matrices
- norm(x)
or
norm(x,2)
is the largest singular value ofx
(max(svd(x))
).- norm(x,1)
The l_1 norm
x
(the largest column sum :max(sum(abs(x),'r'))
).- norm(x,'inf'),norm(x,%inf)
The infinity norm of
x
(the largest row sum :max(sum(abs(x),'c'))
).- norm(x,'fro')
Frobenius norm i.e.
sqrt(sum(diag(x'*x)))
.
For vectors
- norm(v,p)
The l_p norm (
sum(v(i)^p))^(1/p)
.- norm(v), norm(v,2)
The l_2 norm
- norm(v,'inf')
max(abs(v(i)))
.
Examples
See Also
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