Scilab 5.3.3
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- Elementary Functions
- Bitwise operations
- Complex
- Discrete mathematics
- Elementary matrices
- Floating point
- Integer representation
- Matrix manipulation
- Matrix operations
- Search and sort
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- Signal processing
- Symbolic
- Trigonometry
- abs
- amell
- and
- &
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- cellstr
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- delip
- diff
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- inttrap
- isdef
- isempty
- isequal
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- isvector
- log
- log10
- log1p
- log2
- logm
- lstsize
- max
- min
- modulo
- ndims
- norm
- or
- |
- pertrans
- sign
- signm
- size
- sqrt
- sqrtm
- squarewave
- toeplitz
- typeof
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 This page might be outdated.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 norms
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)
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)
l_p norm (
sum(v(i)^p))^(1/p)
.- norm(v)
=norm(v,2)
: l_2 norm- norm(v,'inf')
max(abs(v(i)))
.
Examples
See Also
<< ndims | Elementary Functions | or >> |