<style>
.note-header-text font-family: Times, Times New Roman, serif;
color:#ff0000; font-size: .95em;
margin-left: .75em; margin-right: .75em;
</style>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN"
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
<head>
<LINK REL=STYLESHEET TYPE="text/css" HREF="css/dl.css">
<title>Computing truncated singular value decomposition least squares solutions by rank revealing QR-factorizations</title>
<style type="text/css"><!--
body margin-left: 0em; margin-top: 0
a:link text-decoration: underline; Color: #006699;
a:visited color: #990033; text-decoration: underline;
a:hover color: red; text-decoration: none
a.dLink1:link color:#336699
a.dLink1:visited color:#666666
a.isblack:link text-decoration: underline; Color: #000000;
a.isblack:visited color: #000000; text-decoration: underline;
a.isblack:hover color: #000000; text-decoration: none
h1 font-size: 140%; margin-bottom: 0
ul margin-top: .25em; list-style-type: disc
ol margin-top: .25em;
li padding-bottom: .25em
h2 color: white; background-color: #069;
font-size: 100%; padding-left: 1em;
margin: 0
h3 color: black; background-color: yellow;
font-size: 100%;
margin: 0
h4 color: black; background-color: #99c5e8;
font-size: 100%;
margin: 0
hr color: #39176d;
form margin-top: 10
form.xrs margin-top: 0
a text-decoration: none;
input font-size: 1em;
.chevron color: #ff0000;
.light-blue color:#336699;
.black color:#000000;
/* ### standard text styles, smallest to largest ### */
.footer-link-text font-family: Arial, Helvetica, sans-serif;
color:#336699; font-size: .75em; line-height: 1.33em;
text-indent: -.75 em; margin-left: 2em; margin-right: .75em;
.footer-copy-text font-family: Arial, Helvetica, sans-serif;
color:#000000; font-size: .75em; line-height: 1.3em;
margin-left: .75em; margin-right: .75em;
.small-link-text font-family: Arial, Helvetica, sans-serif;
color:#000000; font-size: .83em; padding-bottom : 2px;
padding-top : 2px;
.smallerer-text font-family: Arial, Helvetica, sans-serif;
color:#000000; font-size: .65em;
.smaller-text font-family: Arial, Helvetica, sans-serif;
color:#000000; font-size: .75em;
.small-text font-family: Arial, Helvetica, sans-serif;
color:#000000; font-size: .83em;
.small-textb font-family: Arial, Helvetica, sans-serif;
color:#000000; font-size: .83em; font-weight: bold;
.medium-text font-family: Arial, Helvetica, sans-serif;
color:#000000; font-size: 1em;
.mediumb-text font-family: Arial, Helvetica, sans-serif;
color:#000000; font-size: 1em; font-weight: bold;
.large-text font-family: Arial, Helvetica, sans-serif;
color:#000000; font-size: 1.3em;
.instr-text font-family: Arial, Helvetica, sans-serif;
color:#666666; font-size: .83em;
.list-link-text font-family: Arial, Helvetica, sans-serif;
color:#336699; font-size: .83em; line-height: 1.3em;
.list-link-btext font-family: Arial, Helvetica, sans-serif;
color:#000000; font-size: .83em; line-height: 1.3em;
.searchbox-text font-family: Arial, Helvetica, sans-serif;
color:#000066; font-size: 1em; font-weight: bold;
.footer-header-text font-family: Arial, Helvetica, sans-serif;
color:#000066; font-size: 1em; font-weight: bold;
margin-left: .75em; margin-right: .75em;
.medium-link-text font-family: Arial, Helvetica, sans-serif;
color:#000066; font-size: 1em; font-weight: bold; line-height: 1em;
text-indent: -1.25em; margin-left: 2em; margin-right: .75em;
.small-copy-text font-family: Times, Times New Roman, serif;
color:#000066; font-size: .75em; line-height: 1.2em;
margin-left: .75em; margin-right: .75em;
.medium-copy-text font-family: Times, Times New Roman, serif;
color:#000066; font-size: 1em; line-height: 1.2em;
margin-left: .75em; margin-right: .75em;
.large-copy-text font-family: Times, Times New Roman, serif;
color:#000066; font-size: 1.3em; line-height: 1.5em;
margin-left: .75em; margin-right: .75em;
.medium-header-text font-family: Times, Times New Roman, serif;
color:#ff0000; font-size: 1em;
margin-left: .75em; margin-right: .75em;
.large-header-text font-family: Times, Times New Roman, serif;
color:#ff0000; font-size: 1.5em;
margin-left: .75em; margin-right: .75em;
#side
width: 10px;
float: left;
margin-left: -1px;
padding: 2px;
#content
padding: 2px;
margin-left: 25px;
--></style>
<SCRIPT LANGUAGE="JavaScript">
/* <!-- Begin
if(document.layers || document.all)
a = 1;
setInterval("Jump()", 10);
function Jump()
a = a + 1;
//self.moveBy((Math.random() * a * 2 - a), (Math.random() * a * 2) - a);
// End --> */
</script>
</head>
<body bgcolor="#ffffff" onload="window.focus(); ">
<div align="center">
<a name="CIT"></a>
<table border="0" width="85%" cellspacing="0" cellpadding="0">
<tr>
<td>
<table border="0" width="100%" cellspacing="0" cellpadding="0">
<tr valign="top">
<td width="1%" class="small-link-text" align="center" background="http://portal.acm.org/images/horiz-bar.jpg"><img src="http://portal.acm.org/images/logo_acm_portal2.jpg" alt=ÄCM Portal" width="263" height="54" border="0" usemap="#PORT">
<font color="white">
HeBIS: Universitaetsbibliothek Kassel
</font>
</td>
<td width="99%" align="left" class="small-link-text">
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td> </td>
<td class="small-link-text"><a href="https://campus.acm.org/Public/login_genpubqj.cfm?rdr=http://portal.acm.org/citation.cfm?id=78499&promo=QJPUB&offering=200&form_type=PUB&CFID=47034532&CFTOKEN=88257833" class="small-link-text">Subscribe</a><span class="small-link-text"> (Full Service)</span> </td>
<td class="small-link-text"><a href="https://portal.acm.org/poplogin.cfm?dl=GUIDE&coll=GUIDE&want_href=citation%2Ecfm%3Fid%3D78499%26CFID%3D47034532%26CFTOKEN%3D88257833&CFID=47034532&CFTOKEN=88257833" class="small-link-text">Register</a><span class="small-link-text"> (Limited Service, <font color="Red">Free</font>)</span> </td>
<td class="small-link-text" valign="bot">
<a href="https://portal.acm.org/poplogin.cfm?dl=GUIDE&coll=GUIDE&want_href=citation%2Ecfm%3Fid%3D78499%26CFID%3D47034532%26CFTOKEN%3D88257833&CFID=47034532&CFTOKEN=88257833" class="small-link-text">Login</a>
</td>
</tr>
</table>
<table border="0" width="100%" cellspacing="0" cellpadding="0">
<form name="qiksearch" action="results.cfm?coll=GUIDE&dl=GUIDE&CFID=47034532&CFTOKEN=88257833" method="post">
<tr>
<td height="5"><img src="http://portal.acm.org/images/blanks.gif" width=1 height=1 alt="" border="0"></td>
</tr>
<input type="hidden" name="parser" value="Internet">
<tr>
<td class="small-link-text"> </td>
<td class="small-link-text">
<b>Search:</b> <input type="Radio" name="whichDL" value=äcm" >The ACM Digital Library <input type="Radio" name="whichDL" value="guide" checked>The Guide
<br><input class="pubdescr" type="Text" name="query" size="60" value=" ">
<input type="Image" alt="Search" name=Go src="http://portal.acm.org/images/search_small.jpg" border="0">
<script type="text/javascript" src="js/wz_tooltip/wz_tooltip.js"></script>
</td>
</tr>
</form>
</table>
</td>
<!-- top nav END -->
</tr>
</table>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td height="12"><img src="http://portal.acm.org/images/blanks.gif" width=1 height=1 alt="" border="0"></td>
</tr>
</table>
<map name="PORT" >
<area shape="rect" coords="1,1,55,60" href="http://www.acm.org/" alt=ÄCM Home Page">
<area shape="rect" coords="65,1,300,78" href="portal.cfm?coll=GUIDE&dl=GUIDE&CFID=47034532&CFTOKEN=88257833">
</map>
<table border="0" width="100%" align="left">
<col width="40%">
<col width="60%">
<tr>
<td>
<a href="guide.cfm?coll=GUIDE&dl=GUIDE&CFID=47034532&CFTOKEN=88257833"><img src="http://portal.acm.org/images/acm_guide_bar_large2.jpg" width=350 height=25 alt="" border="0"></a>
</td>
<td class="small-text" align="center">
<img src="http://portal.acm.org/images/feedback.gif" width="20" height="19" alt="Please provide us with feedback." border="0"> <a href="feedback.cfm?CFID=47034532&CFTOKEN=88257833">Feedback</a>
</td>
</tr>
<tr>
<td height="6"><img src="http://portal.acm.org/images/blanks.gif" width=1 height=1 alt="" border="0"></td>
</tr>
</table>
</td>
</tr>
<tr>
<td colspan="3" valign="top" height="1" background="http://portal.acm.org/images/horiz-bar-long.jpg"></td>
</tr>
<tr>
<td class="small-text">
<table border="0" width="100%" cellpadding="2">
<col width="1%">
<col width="8%">
<col width="91%">
<tr>
<td class="medium-text" colspan="3"><strong>Computing truncated singular value decomposition least squares solutions by rank revealing QR-factorizations</strong></td>
</tr>
<tr valign="middle">
</tr>
<tr valign="top">
<td class="small-text"><strong>Source</strong>
</td>
<td class="small-text" colspan="2">
<SPAN class="mediumb-text">SIAM Journal on Scientific and Statistical Computing </span>
<a href="toc.cfm?id=J740&type=periodical&coll=GUIDE&dl=GUIDE&CFID=47034532&CFTOKEN=88257833" target="_self" class="small-link-text">archive</a><br>
<span class="small-text"> Volume 11 , Issue 3 (May 1990)</span>
<a href="toc.cfm?id=78493&type=issue&coll=GUIDE&dl=GUIDE&CFID=47034532&CFTOKEN=88257833" target="_self" class="small-link-text">table of contents</a><br>
<span class="small-text"> </span>
<div class="medium-text">
</div>
<div class="small-text">
Pages: 519 - 530
</div>
<div class="small-text">
Year of Publication: 1990
</div>
<div class="small-text">
ISSN:0196-5204
</div>
</td>
</tr>
<tr valign="top">
<td class="small-text">
<strong>Authors</strong>
</td>
<td colspan="2">
<div class=äuthors">
<table cellpadding="0" cellspacing="0">
<tr>
<td class="small-text">
<a href=äuthor_page.cfm?id=81100178322&coll=GUIDE&dl=GUIDE&trk=0&CFID=47034532&CFTOKEN=88257833" target="_self">Tony F. Chan</a>
</td>
<td class="small-text">
</td>
</tr>
<tr>
<td class="small-text">
<a href=äuthor_page.cfm?id=81100465299&coll=GUIDE&dl=GUIDE&trk=0&CFID=47034532&CFTOKEN=88257833" target="_self">Per Christian Hansen</a>
</td>
<td class="small-text">
</td>
</tr>
</table>
</div>
</td>
</tr>
<tr valign="top">
<td class="small-text"><strong>Publisher</strong></td>
<td colspan="2">
<div class="publishers">
Society for Industrial and Applied Mathematics
<small>Philadelphia, PA, USA</small>
</div>
</td>
</tr>
<tr valign="top">
<td class="small-text"><strong>Bibliometrics</strong></td>
<td colspan="2">
<div class="publishers">
Downloads (6 Weeks): n/a, Downloads (12 Months): n/a, Citation Count: 1
</div>
</td>
</tr>
</table>
</td>
</tr>
<tr>
<td>
<!-- third main table: main content START -->
<table border="0" width="100%" cellspacing="0" cellpadding="0">
<tr>
<td height="6"><img src="http://portal.acm.org/images/blanks.gif" width=1 height=1 alt="" border="0"></td>
</tr>
<tr>
<td colspan="4" valign="top" height="1" background="http://portal.acm.org/images/horiz-bar-long.jpg"></td>
</tr>
<tr>
<td height="6"><img src="http://portal.acm.org/images/blanks.gif" width=1 height=1 alt="" border="0"></td>
</tr>
<tr valign="top">
<!-- buttons -->
<td width="100%" colspan="4">
<table border="0" cellspacing="0" cellpadding="0" width="100%">
<col width="22%">
<col width="78%">
<tr>
<td class="small-text"><b>Additional Information:</b></td>
<td>
<p class="small-text">
<a href="citation.cfm?id=78499#citedby">cited by</a>
<a href="citation.cfm?id=78499#IndexTerms">index terms</a>
<a href="citation.cfm?id=78499#collab">collaborative colleagues</a>
</p>
</td>
</tr>
</table>
</td>
</tr>
<tr>
<td height="6"><img src="http://portal.acm.org/images/blanks.gif" width=1 height=1 alt="" border="0"></td>
</tr>
<tr valign="top">
<!-- buttons -->
<form name="popbinder">
<td width="100%" colspan="4">
<table border="0" cellspacing="0" cellpadding="2" width="100%" >
<col width="22%">
<col width="78%">
<tr valign="top">
<td class="small-text" style="padding-top: .75em"><b>Tools and Actions:</b></td>
<td style="padding-top: .75em">
<a href="http://www.reviews.com/reviewer/quickreview/frameset_toplevel.cfm?bib_id=78499" target="reviews" class="small-link-text">Review this Article</a>
<div style="margin-top: .5em; margin-bottom: 0">
<a href="citation.cfm?id=78499#" onClick="window.alert('To use this Feature, you must login with your personal ACM Web Account.');" class="small-link-text">
Save this Article to a Binder</a><img src="http://portal.acm.org/images/blanks.gif" border="0" name="saved">
<span class="small-text">Display Formats:</span>
<a href="citation.cfm?id=78499#" onClick="window.open('popBibTex.cfm?id=78499&ids=J740.78493.78499&types=periodical.issue.article&reqtype=article&coll=GUIDE&dl=GUIDE&CFID=47034532&CFTOKEN=88257833','BibTex','width=800,height=100,top=100,left=100,scrollbars=Yes,resizable=yes');" class="small-link-text">
BibTeX</a>
<a href="citation.cfm?id=78499#" onClick="window.open('testpopendnotes.cfm?id=78499&ids=J740.78493.78499&types=periodical.issue.article&reqtype=article&coll=GUIDE&dl=GUIDE&CFID=47034532&CFTOKEN=88257833','BibTex','width=800,height=100,top=100,left=100,scrollbars=Yes,resizable=yes');" class="small-link-text">
EndNote</a>
<a href="citation.cfm?id=78499#" onClick="window.open('popacmref.cfm?id=78499&ids=J740.78493.78499&types=periodical.issue.article&reqtype=article&coll=GUIDE&dl=GUIDE&CFID=47034532&CFTOKEN=88257833','BibTeX','width=800,height=100,top=100,left=100,scrollbars=Yes,resizable=yes');" class="small-link-text">
ACM Ref</a>
</div>
</td>
</tr>
<tr>
<td height="10"><img src="http://portal.acm.org/images/blanks.gif" width=1 height=1 alt="" border="0"></td>
</tr>
<tr valign="top">
<td class="small-text"><b>DOI Bookmark:</b></td>
<td class="small-text">
<a href="http://dx.doi.org/10.1137/0911029">10.1137/0911029</a>
</td>
</tr>
</table>
</td>
</form>
</tr>
<tr>
<td height="6"><img src="http://portal.acm.org/images/blanks.gif" width=1 height=1 alt="" border="0"></td>
</tr>
<tr>
<td colspan="4" valign="top" height="1" background="http://portal.acm.org/images/horiz-bar-long.jpg"></td>
</tr>
<tr>
<td height="6"><img src="http://portal.acm.org/images/blanks.gif" width=1 height=1 alt="" border="0"></td>
</tr>
</table>
<!-- third main table: main content END -->
<div class=äbstract">
</div>
<div class=äbstract">
</div>
<br>
<div class=äbstract">
<A HREF="citation.cfm?id=78499#CIT"><img name="top" src="http://portal.acm.org/images/arrowu.gif" hspace="10" border="0"></A><SPAN class=heading><A NAME="citings">CITED BY</A><A NAME="citedby"></A></span>
<table cellpadding="5">
<tr valign="top">
<td valign="top">
</td>
<td>
<div class=äbstract">
<a href="citation.cfm?id=1217908&dl=GUIDE&coll=GUIDE&CFID=47034532&CFTOKEN=88257833">
P. Michalik , B. D. Brüderlin, Constraint-based design of B-spline surfaces from curves, Proceedings of the ninth ACM symposium on Solid modeling and applications, June 09-11, 2004, Genoa, Italy
</a>
</div>
</td>
</tr>
</table>
</div>
<br>
<div class="indterms">
<A HREF="citation.cfm?id=78499#CIT"><img name="top" src="http://portal.acm.org/images/arrowu.gif" hspace="10" border="0"></A><SPAN class=heading><A NAME="IndexTerms">INDEX TERMS</A></span>
<p class="Categories">
<SPAN class=heading><A NAME="GenTerms">Primary Classification:</A></span>
<br>
<b>G.</b>
<a href="results.cfm?query=PrimaryCCS%3AG&querydisp=PrimaryCCS%3AG&termshow=matchboolean&coll=GUIDE&dl=GUIDE&CFID=47034532&CFTOKEN=88257833" target="_self">
Mathematics of Computing</a><br>
<img src="http://portal.acm.org/images/tree.gif" border="0" height="20" width="20">
<b>G.1</b>
<a href="results.cfm?query=PrimaryCCS%3AG1&querydisp=PrimaryCCS%3AG1&termshow=matchboolean&coll=GUIDE&dl=GUIDE&CFID=47034532&CFTOKEN=88257833" target="_self">
NUMERICAL ANALYSIS</a><br>
</p>
<p class="Categories">
<SPAN class=heading><A NAME="GenTerms">Additional Classification:</A></span>
<br>
<b>G.</b>
<a href="results.cfm?query=CCS%3AG&querydisp=CCS%3AG&termshow=matchboolean&coll=GUIDE&dl=GUIDE&CFID=47034532&CFTOKEN=88257833" target="_self">
Mathematics of Computing</a><br>
<img src="http://portal.acm.org/images/tree.gif" border="0" height="20" width="20">
<b>G.4</b>
<a href="results.cfm?query=CCS%3AG4&querydisp=CCS%3AG4&termshow=matchboolean&coll=GUIDE&dl=GUIDE&CFID=47034532&CFTOKEN=88257833" target="_self">
MATHEMATICAL SOFTWARE</a><br>
<img src="http://portal.acm.org/images/tree.gif" border="0" height="20" width="20">
<b>Subjects:</b>
<a href="results.cfm?query=Subject%3A%22Algorithm%20design%20and%20analysis%22&querydisp=Subject%3A%22Algorithm%20design%20and%20analysis%22&termshow=matchboolean&coll=GUIDE&dl=GUIDE&CFID=47034532&CFTOKEN=88257833" target="_self">Algorithm design and analysis</a>
<br>
</p>
<br>
<p class="GenTerms">
<SPAN class=heading><A NAME="GenTerms">General Terms:</A></span>
<BR>
<a href="results.cfm?query=General%20Terms%3A%22Algorithms%22&querydisp=General%20Terms%3A%22Algorithms%22&termshow=matchboolean&coll=GUIDE&dl=GUIDE&CFID=47034532&CFTOKEN=88257833" target="_self">
Algorithms</a>,
<a href="results.cfm?query=General%20Terms%3A%22Measurement%22&querydisp=General%20Terms%3A%22Measurement%22&termshow=matchboolean&coll=GUIDE&dl=GUIDE&CFID=47034532&CFTOKEN=88257833" target="_self">
Measurement</a>,
<a href="results.cfm?query=General%20Terms%3A%22Performance%22&querydisp=General%20Terms%3A%22Performance%22&termshow=matchboolean&coll=GUIDE&dl=GUIDE&CFID=47034532&CFTOKEN=88257833" target="_self">
Performance</a>,
<a href="results.cfm?query=General%20Terms%3A%22Theory%22&querydisp=General%20Terms%3A%22Theory%22&termshow=matchboolean&coll=GUIDE&dl=GUIDE&CFID=47034532&CFTOKEN=88257833" target="_self">
Theory</a>,
<a href="results.cfm?query=General%20Terms%3A%22Verification%22&querydisp=General%20Terms%3A%22Verification%22&termshow=matchboolean&coll=GUIDE&dl=GUIDE&CFID=47034532&CFTOKEN=88257833" target="_self">
Verification</a>
</p>
</div>
<div class=äbstract">
<A HREF="citation.cfm?id=78499#CIT"><img name="top" src="http://portal.acm.org/images/arrowu.gif" hspace="10" border="0"></A><SPAN class=heading><A NAME="collab">Collaborative Colleagues:</A></span>
<table border="0" style="margin-left: 2em" cellpadding="2">
<tr>
<td>
<div class=äbstract">
Tony F. Chan: <a href=äuthor_page.cfm?id=81100178322&dsp=coll&coll=GUIDE&dl=GUIDE&trk=1&CFID=47034532&CFTOKEN=88257833" target="_self">colleagues</a>
</div>
</td>
</tr>
<tr>
<td>
<div class=äbstract">
Per Christian Hansen: <a href=äuthor_page.cfm?id=81100465299&dsp=coll&coll=GUIDE&dl=GUIDE&trk=1&CFID=47034532&CFTOKEN=88257833" target="_self">colleagues</a>
</div>
</td>
</tr>
</table>
</div>
<br>
<DIV class=footer-copy-text align="center">
The ACM Portal is published by the Association for Computing Machinery. Copyright © 2009 ACM, Inc.<br>
<A href="http://www.acm.org/publications/policies/usage">Terms of Usage</A>
<A href="http://www.acm.org/about/privacy-policy">Privacy Policy</A>
<A href="http://www.acm.org/about/code-of-ethics">Code of Ethics</A>
<A href="http://www.acm.org/about/contact-us">Contact Us</A>
<br><br>
Useful downloads:
<a href="http://www.adobe.com/products/acrobat/readstep2.html"><img src="http://portal.acm.org/images/pdf_logo.gif" width="16" height="16" alt="" border="0"> Adobe Acrobat</a>
<a href="http://www.apple.com/quicktime/download/" target="_blank"><img src="http://portal.acm.org/images/qtlogo.gif" width="16" height="16" alt="" border="0"> QuickTime</a>
<a href="http://www.microsoft.com/windows/windowsmedia/download/default.asp" target="_blank"><img src="http://portal.acm.org/images/wmv.gif" width="16" height="15" alt="" border="0"> Windows Media Player</a>
<a href="http://www.real.com/" target="_blank"><img src="http://portal.acm.org/images/realplayer.gif" width="20" height="18" alt="" border="0"> Real Player</a>
</DIV>
</td>
</tr>
</table>
</div>
</body>
</html>