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colcomp Scilab Group Scilab Function colcomp
NAME
colcomp - column compression, kernel, nullspace
CALLING SEQUENCE
[W,rk]=colcomp(A [,flag] [,tol])
PARAMETERS
A : real or complex matrix
flag : character string
tol : real number
W : square non-singular matrix (change of basis)
rk : integer (rank of A)
DESCRIPTION
Column compression of A: Ac = A*W is column compressed i.e
Ac=[0,Af] with Af full column rank, rank(Af) = rank(A) = rk.
flag and tol are optional parameters: flag = 'qr' or 'svd' (default is
'svd').
tol = tolerance parameter (of order %eps as default value).
The ma-rk first columns of W span the kernel of A when size(A)=(na,ma)
EXAMPLE
A=rand(5,2)*rand(2,5);
[X,r]=colcomp(A);
norm(A*X(:,1:$-r),1)
SEE ALSO
rowcomp, fullrf, fullrfk, kernel
AUTHOR
F.D.
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