File: pinv.man

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.TH pinv G "April 1993" "Scilab Group" "Scilab Function"
.so ../sci.an
.SH NAME
pinv - pseudoinverse
.SH CALLING SEQUENCE
.nf
pinv(A,[tol])
.fi
.SH PARAMETERS
.TP
A 
: real or complex matrix
.TP
tol
: real number
.SH DESCRIPTION
.Vb X = pinv(A) 
produces a matrix \fVX\fR of the same  dimensions as \fVA'\fR such that:
.LP
\fVA*X*A = A, X*A*X = X\fR  and both
\fVA*X\fR and \fVX*A\fR are Hermitian .
.LP
The computation is  based  on SVD and  any  singular values 
lower than a tolerance are treated   as zero: this  tolerance 
is accessed by \fVX=pinv(A,tol)\fR.
.SH EXAMPLE
.nf
A=rand(5,2)*rand(2,4);
norm(A*pinv(A)*A-A,1)
.fi
.SH SEE ALSO
rank, svd, qr