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See the recommended documentation of this function
rowcomp
row compression, range
Calling Sequence
[W,rk]=rowcomp(A [,flag [,tol]])
Arguments
- A
real or complex matrix
- flag
optional character string, with possible values
'svd'
or'qr'
. The default value is'svd'
.- tol
optional real non negative number. The default value is
sqrt(%eps)*norm(A,1)
.- 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.
The rk
first columns of W'
span the range of
A
.
The rk
first (top) rows of W
span the row
range of A
.
A non zero vector x
belongs to range(A
) iff
W*x
is row compressed in accordance with Ac
i.e the norm of its last components is small w.r.t its first
components.
Examples
See Also
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