File: pinv.man

package info (click to toggle)
scilab 2.6-4
  • links: PTS
  • area: non-free
  • in suites: woody
  • size: 54,632 kB
  • ctags: 40,267
  • sloc: ansic: 267,851; fortran: 166,549; sh: 10,005; makefile: 4,119; tcl: 1,070; cpp: 233; csh: 143; asm: 135; perl: 130; java: 39
file content (33 lines) | stat: -rw-r--r-- 657 bytes parent folder | download | duplicates (2) 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
 
.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