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
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
|
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2//EN">
<!--Converted with LaTeX2HTML 97.1 (release) (July 13th, 1997)
by Nikos Drakos (nikos@cbl.leeds.ac.uk), CBLU, University of Leeds
* revised and updated by: Marcus Hennecke, Ross Moore, Herb Swan
* with significant contributions from:
Jens Lippman, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<TITLE>SLA_SVDCOV - Covariance Matrix from SVD</TITLE>
<META NAME="description" CONTENT="SLA_SVDCOV - Covariance Matrix from SVD">
<META NAME="keywords" CONTENT="sun67">
<META NAME="resource-type" CONTENT="document">
<META NAME="distribution" CONTENT="global">
<META HTTP-EQUIV="Content-Type" CONTENT="text/html; charset=iso_8859_1">
<LINK REL="STYLESHEET" HREF="sun67.css">
<LINK REL="next" HREF="node182.html">
<LINK REL="previous" HREF="node180.html">
<LINK REL="up" HREF="node13.html">
<LINK REL="next" HREF="node182.html">
</HEAD>
<BODY >
<BR> <HR>
<A NAME="tex2html2236" HREF="node182.html">
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next_motif.gif"></A>
<A NAME="tex2html2234" HREF="node13.html">
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up_motif.gif"></A>
<A NAME="tex2html2228" HREF="node180.html">
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="previous_motif.gif"></A> <A HREF="sun67.html#stardoccontents"><IMG ALIGN="BOTTOM" BORDER="0"
SRC="contents_motif.gif"></A>
<BR>
<B> Next:</B> <A NAME="tex2html2237" HREF="node182.html">SLA_SVDSOL - Solution Vector from SVD</A>
<BR>
<B>Up:</B> <A NAME="tex2html2235" HREF="node13.html">SUBPROGRAM SPECIFICATIONS</A>
<BR>
<B> Previous:</B> <A NAME="tex2html2229" HREF="node180.html">SLA_SVD - Singular Value Decomposition</A>
<BR> <HR> <P>
<P><!--End of Navigation Panel-->
<H2><A NAME="SECTION0004168000000000000000">SLA_SVDCOV - Covariance Matrix from SVD</A>
<A NAME="xref_SLA_SVDCOV"> </A><A NAME="SLA_SVDCOV"> </A>
</H2>
<DL>
<DT><STRONG>ACTION:</STRONG>
<DD>From the <B>W</B> and <B>V</B> matrices from the SVD
factorization of a matrix
(as obtained from the sla_SVD routine), obtain
the covariance matrix.
<P> <DT><STRONG>CALL:</STRONG>
<DD><TT>CALL sla_SVDCOV (N, NP, NC, W, V, WORK, CVM)</TT>
<P> </DL>
<P> <DL>
<DT><STRONG>GIVEN:</STRONG>
<DD>
<BR>
<TABLE CELLPADDING=3>
<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>N</EM></TD>
<TH ALIGN="LEFT"><B>I</B></TH>
<TH ALIGN="LEFT" NOWRAP><I>n</I>, the number of rows and columns in
matrices <B>W</B> and <B>V</B></TH>
</TR>
<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>NP</EM></TD>
<TD ALIGN="LEFT"><B>I</B></TD>
<TD ALIGN="LEFT" NOWRAP>first dimension of array containing <IMG WIDTH="42" HEIGHT="25" ALIGN="MIDDLE" BORDER="0"
SRC="img73.gif"
ALT="$n \times n$">matrix <B>V</B></TD>
</TR>
<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>NC</EM></TD>
<TD ALIGN="LEFT"><B>I</B></TD>
<TD ALIGN="LEFT" NOWRAP>first dimension of array CVM</TD>
</TR>
<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>W</EM></TD>
<TD ALIGN="LEFT"><B>D(N)</B></TD>
<TD ALIGN="LEFT" NOWRAP><IMG WIDTH="42" HEIGHT="25" ALIGN="MIDDLE" BORDER="0"
SRC="img73.gif"
ALT="$n \times n$"> diagonal matrix <B>W</B>
(diagonal elements only)</TD>
</TR>
<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>V</EM></TD>
<TD ALIGN="LEFT"><B>D(NP,NP)</B></TD>
<TD ALIGN="LEFT" NOWRAP>array containing <IMG WIDTH="42" HEIGHT="25" ALIGN="MIDDLE" BORDER="0"
SRC="img73.gif"
ALT="$n \times n$"> orthogonal matrix <B>V</B></TD>
</TR>
</TABLE></DL>
<P> <DL>
<DT><STRONG>RETURNED:</STRONG>
<DD>
<BR>
<TABLE CELLPADDING=3>
<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>WORK</EM></TD>
<TH ALIGN="LEFT"><B>D(N)</B></TH>
<TD ALIGN="LEFT" NOWRAP>workspace</TD>
</TR>
<TR VALIGN="TOP"><TD ALIGN="LEFT"><EM>CVM</EM></TD>
<TD ALIGN="LEFT"><B>D(NC,NC)</B></TD>
<TD ALIGN="LEFT" NOWRAP>array to receive covariance matrix</TD>
</TR>
</TABLE></DL>
<P> <DL>
<DT><STRONG>REFERENCE:</STRONG>
<DD><I>Numerical Recipes</I>, section 14.3.
</DL>
<BR> <HR>
<A NAME="tex2html2236" HREF="node182.html">
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next_motif.gif"></A>
<A NAME="tex2html2234" HREF="node13.html">
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up_motif.gif"></A>
<A NAME="tex2html2228" HREF="node180.html">
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="previous_motif.gif"></A> <A HREF="sun67.html#stardoccontents"><IMG ALIGN="BOTTOM" BORDER="0"
SRC="contents_motif.gif"></A>
<BR>
<B> Next:</B> <A NAME="tex2html2237" HREF="node182.html">SLA_SVDSOL - Solution Vector from SVD</A>
<BR>
<B>Up:</B> <A NAME="tex2html2235" HREF="node13.html">SUBPROGRAM SPECIFICATIONS</A>
<BR>
<B> Previous:</B> <A NAME="tex2html2229" HREF="node180.html">SLA_SVD - Singular Value Decomposition</A>
<BR> <HR> <P>
<P><!--End of Navigation Panel-->
<ADDRESS>
<I>SLALIB --- Positional Astronomy Library<BR>Starlink User Note 67<BR>P. T. Wallace<BR>12 October 1999<BR>E-mail:ptw@star.rl.ac.uk</I>
</ADDRESS>
</BODY>
</HTML>
|