Scilab Reference Manual |
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colcomp — column compression, kernel, nullspace
[W,rk]=colcomp(A [,flag] [,tol])
A | : real or complex matrix |
flag | : character string |
tol | : real number |
W | : square non-singular matrix (change of basis) |
rk | : integer (rank of A) |
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)
A=rand(5,2)*rand(2,5); [X,r]=colcomp(A); norm(A*X(:,1:$-r),1)
F.D.;
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