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Amiga Format CD46 (1999-10-20)(Future Publishing)(GB)[!][issue 1999-12].iso
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rowcomp.1
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1999-09-16
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rowcomp(1) Scilab Function rowcomp(1)
NAME
rowcomp - row compression, range
CALLING SEQUENCE
[W,rk]=rowcomp(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
Row compression of A. Ac = W*A is a row compressed matrix: i.e. Ac=[Af;0]
with Af full row rank.
flag and tol are optional parameters: flag='qr' or 'svd' (default 'svd').
tol is a tolerance parameter (of order %eps as default value).
The rk first columns of W' span the range of A.
The rk first (top) rows of W span the row range of A.
Remark
A non zero vector x belongs to range(A) iff W*x is row compressed in accor-
dance with Ac i.e the norm of its last components is small w.r.t its first
components.
SEE ALSO
colcomp, fullrf, fullrfk
AUTHOR
F. D.