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
|
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML3.2 EN">
<HTML>
<HEAD> <link rel="canonical" href="http://slepc.upv.es/documentation/current/docs/manualpages/BV/BVOrthogonalizeColumn.html" />
<META NAME="GENERATOR" CONTENT="DOCTEXT">
<link rel="stylesheet" href="/slepc.css" type="text/css">
<TITLE>BVOrthogonalizeColumn</TITLE>
</HEAD>
<BODY BGCOLOR="FFFFFF">
<div id="version" align=right><b>slepc-3.7.3 2016-09-29</b></div>
<div id="bugreport" align=right><a href="mailto:slepc-maint@upv.es?subject=Typo or Error in Documentation &body=Please describe the typo or error in the documentation: slepc-3.7.3 v3.7.3 docs/manualpages/BV/BVOrthogonalizeColumn.html "><small>Report Typos and Errors</small></a></div>
<H1>BVOrthogonalizeColumn</H1>
Orthogonalize one of the column vectors with respect to the previous ones.
<H3><FONT COLOR="#883300">Synopsis</FONT></H3>
<PRE>
#include "slepcbv.h"
PetscErrorCode BVOrthogonalizeColumn(BV bv,PetscInt j,PetscScalar *H,PetscReal *norm,PetscBool *lindep)
</PRE>
Collective on <A HREF="../BV/BV.html#BV">BV</A>
<P>
<H3><FONT COLOR="#883300">Input Parameters</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>bv </B></TD><TD> - the basis vectors context
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>j </B></TD><TD> - index of column to be orthogonalized
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#883300">Output Parameters</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>H </B></TD><TD> - (optional) coefficients computed during orthogonalization
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>norm </B></TD><TD> - (optional) norm of the vector after being orthogonalized
</TD></TR>
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>lindep </B></TD><TD> - (optional) flag indicating that refinement did not improve the quality
of orthogonalization
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#883300">Notes</FONT></H3>
This function applies an orthogonal projector to project vector V[j] onto
the orthogonal complement of the span of the columns of V[0..j-1],
where V[.] are the vectors of <A HREF="../BV/BV.html#BV">BV</A>. The columns V[0..j-1] are assumed to be
mutually orthonormal.
<P>
Leading columns V[0..l-1] also participate in the orthogonalization.
<P>
If a non-standard inner product has been specified with <A HREF="../BV/BVSetMatrix.html#BVSetMatrix">BVSetMatrix</A>(),
then the vector is B-orthogonalized, using the non-standard inner product
defined by matrix B. The output vector satisfies V[j]'*B*V[0..j-1] = 0.
<P>
This routine does not normalize the resulting vector.
<P>
<P>
<H3><FONT COLOR="#883300">See Also</FONT></H3>
<A HREF="../BV/BVSetOrthogonalization.html#BVSetOrthogonalization">BVSetOrthogonalization</A>(), <A HREF="../BV/BVSetMatrix.html#BVSetMatrix">BVSetMatrix</A>(), <A HREF="../BV/BVSetActiveColumns.html#BVSetActiveColumns">BVSetActiveColumns</A>(), <A HREF="../BV/BVOrthogonalize.html#BVOrthogonalize">BVOrthogonalize</A>(), <A HREF="../BV/BVOrthogonalizeVec.html#BVOrthogonalizeVec">BVOrthogonalizeVec</A>()
<BR><P><B><FONT COLOR="#883300">Location: </FONT></B><A HREF="../../../src/sys/classes/bv/interface/bvorthog.c.html#BVOrthogonalizeColumn">src/sys/classes/bv/interface/bvorthog.c</A>
<BR><A HREF="./index.html">Index of all BV routines</A>
<BR><A HREF="../../index.html">Table of Contents for all manual pages</A>
<BR><A HREF="../singleindex.html">Index of all manual pages</A>
</BODY></HTML>
|
