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Please note that the recommended version of Scilab is 2025.0.0. This page might be outdated.
See the recommended documentation of this function
im_inv
inverse image
Calling Sequence
[X,dim]=im_inv(A,B [,tol]) [X,dim,Y]=im_inv(A,B, [,tol])
Arguments
- A,B
two real or complex matrices with equal number of columns
- X
orthogonal or unitary square matrix of order equal to the number of columns of
A
- dim
integer (dimension of subspace)
- Y
orthogonal matrix of order equal to the number of rows of
A
andB
.
Description
[X,dim]=im_inv(A,B)
computes (A^-1)(B)
i.e vectors whose image through A
are in
range(B
)
The dim
first columns of X
span
(A^-1)(B)
tol
is a threshold used to test if subspace inclusion;
default value is tol = 100*%eps
.
If Y
is returned, then [Y*A*X,Y*B]
is partitioned as follows:
[A11,A12;0,A22]
,[B1;0]
where B1
has full row rank (equals
rank(B)
) and A22
has full column rank
and has dim
columns.
Examples
See Also
Authors
F. Delebecque INRIA
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