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<html xmlns="http://www.w3.org/1999/xhtml" xmlns:dsi="http://www.w3.org/1999/xlink" xmlns:m="http://www.w3.org/1998/Math/MathML" xml:space="preserve"><head><meta http-equiv="Content-Type" content="text/html; charset=US-ASCII"/><title>E02 Chapter Contents : NAG Library Manual, Mark 22</title><link rel="stylesheet" href="../styles/libdoc.css" type="text/css"/></head><body><hr/><div><a class="chap" href="../../pdf/E02/e02conts.pdf">E02 Chapter Contents (PDF version)</a></div><div><a class="chapint" href="e02intro.xml">E02 Chapter Introduction</a></div>
<div><a class="htmltoc" href="../FRONTMATTER/manconts.xml">NAG Library Manual</a></div><hr/><h1 class="libdoc">NAG Library Chapter Contents<br/><br/>E02 &#8211; Curve and Surface Fitting</h1>
<h3 class="standard"><a class="chapint" href="../E02/e02intro.xml">E02 Chapter Introduction</a></h3>
<div class="left-tablediv"><table class="contents"><tbody>
<tr>
<td class="contents" valign="top" align="left"><b>Routine<br/>Name</b></td>
<td class="contents" valign="top" align="center"><b>Mark of<br/>Introduction</b></td>
<td class="contents" valign="top" align="left"><br/><b>Purpose</b></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02acf.xml">E02ACF</a>
<br/><a class="tocexample" href="../../examples/source/e02acfe.f">Example&#160;Text</a><br/><a class="plot" href="../E02/e02acf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">1</td>
<td class="contentsdoc" valign="top">Minimax curve fit by polynomials</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02adf.xml">E02ADF</a>
<br/><a class="tocexample" href="../../examples/source/e02adfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/e02adfe.d">Example&#160;Data</a><br/><a class="plot" href="../E02/e02adf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">5</td>
<td class="contentsdoc" valign="top">Least-squares curve fit, by polynomials, arbitrary data points</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02aef.xml">E02AEF</a>
<br/><a class="tocexample" href="../../examples/source/e02aefe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/e02aefe.d">Example&#160;Data</a><br/><a class="plot" href="../E02/e02aef.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">5</td>
<td class="contentsdoc" valign="top">Evaluation of fitted polynomial in one variable from Chebyshev series form (simplified parameter list)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02aff.xml">E02AFF</a>
<br/><a class="tocexample" href="../../examples/source/e02affe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/e02affe.d">Example&#160;Data</a><br/><a class="plot" href="../E02/e02aff.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">5</td>
<td class="contentsdoc" valign="top">Least-squares polynomial fit, special data points (including interpolation)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02agf.xml">E02AGF</a>
<br/><a class="tocexample" href="../../examples/source/e02agfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/e02agfe.d">Example&#160;Data</a><br/><a class="plot" href="../E02/e02agf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">8</td>
<td class="contentsdoc" valign="top">Least-squares polynomial fit, values and derivatives may be constrained, arbitrary data points</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02ahf.xml">E02AHF</a>
<br/><a class="tocexample" href="../../examples/source/e02ahfe.f">Example&#160;Text</a><br/><a class="plot" href="../E02/e02ahf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">8</td>
<td class="contentsdoc" valign="top">Derivative of fitted polynomial in Chebyshev series form</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02ajf.xml">E02AJF</a>
<br/><a class="tocexample" href="../../examples/source/e02ajfe.f">Example&#160;Text</a></td>
<td class="contentsdoc" valign="top" align="center">8</td>
<td class="contentsdoc" valign="top">Integral of fitted polynomial in Chebyshev series form</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02akf.xml">E02AKF</a>
<br/><a class="tocexample" href="../../examples/source/e02akfe.f">Example&#160;Text</a><br/><a class="plot" href="../E02/e02akf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">8</td>
<td class="contentsdoc" valign="top">Evaluation of fitted polynomial in one variable from Chebyshev series form</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02baf.xml">E02BAF</a>
<br/><a class="tocexample" href="../../examples/source/e02bafe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/e02bafe.d">Example&#160;Data</a><br/><a class="plot" href="../E02/e02baf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">5</td>
<td class="contentsdoc" valign="top">Least-squares curve cubic spline fit (including interpolation)</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02bbf.xml">E02BBF</a>
<br/><a class="tocexample" href="../../examples/source/e02bbfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/e02bbfe.d">Example&#160;Data</a><br/><a class="plot" href="../E02/e02bbf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">5</td>
<td class="contentsdoc" valign="top">Evaluation of fitted cubic spline, function only</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02bcf.xml">E02BCF</a>
<br/><a class="tocexample" href="../../examples/source/e02bcfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/e02bcfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">7</td>
<td class="contentsdoc" valign="top">Evaluation of fitted cubic spline, function and derivatives</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02bdf.xml">E02BDF</a>
<br/><a class="tocexample" href="../../examples/source/e02bdfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/e02bdfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">7</td>
<td class="contentsdoc" valign="top">Evaluation of fitted cubic spline, definite integral</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02bef.xml">E02BEF</a>
<br/><a class="tocexample" href="../../examples/source/e02befe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/e02befe.d">Example&#160;Data</a><br/><a class="plot" href="../E02/e02bef.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">13</td>
<td class="contentsdoc" valign="top">Least-squares cubic spline curve fit, automatic knot placement</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02caf.xml">E02CAF</a>
<br/><a class="tocexample" href="../../examples/source/e02cafe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/e02cafe.d">Example&#160;Data</a><br/><a class="plot" href="../E02/e02caf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">7</td>
<td class="contentsdoc" valign="top">Least-squares surface fit by polynomials, data on lines parallel to one independent coordinate axis</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02cbf.xml">E02CBF</a>
<br/><a class="tocexample" href="../../examples/source/e02cbfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/e02cbfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">7</td>
<td class="contentsdoc" valign="top">Evaluation of fitted polynomial in two variables</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02daf.xml">E02DAF</a>
<br/><a class="tocexample" href="../../examples/source/e02dafe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/e02dafe.d">Example&#160;Data</a><br/><a class="plot" href="../E02/e02daf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">6</td>
<td class="contentsdoc" valign="top">Least-squares surface fit, bicubic splines</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02dcf.xml">E02DCF</a>
<br/><a class="tocexample" href="../../examples/source/e02dcfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/e02dcfe.d">Example&#160;Data</a><br/><a class="plot" href="../E02/e02dcf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">13</td>
<td class="contentsdoc" valign="top">Least-squares surface fit by bicubic splines with automatic knot placement, data on rectangular grid</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02ddf.xml">E02DDF</a>
<br/><a class="tocexample" href="../../examples/source/e02ddfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/e02ddfe.d">Example&#160;Data</a><br/><a class="plot" href="../E02/e02ddf.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">13</td>
<td class="contentsdoc" valign="top">Least-squares surface fit by bicubic splines with automatic knot placement, scattered data</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02def.xml">E02DEF</a>
<br/><a class="tocexample" href="../../examples/source/e02defe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/e02defe.d">Example&#160;Data</a><br/><a class="plot" href="../E02/e02def.xml#examresults">Example Plot</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Evaluation of fitted bicubic spline at a vector of points</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02dff.xml">E02DFF</a>
<br/><a class="tocexample" href="../../examples/source/e02dffe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/e02dffe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">14</td>
<td class="contentsdoc" valign="top">Evaluation of fitted bicubic spline at a mesh of points</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02gaf.xml">E02GAF</a>
<br/><a class="tocexample" href="../../examples/source/e02gafe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/e02gafe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">7</td>
<td class="contentsdoc" valign="top"><m:math><m:msub><m:mi>L</m:mi><m:mn>1</m:mn></m:msub></m:math>-approximation by general linear function</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02gbf.xml">E02GBF</a>
<br/><a class="tocexample" href="../../examples/source/e02gbfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/e02gbfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">7</td>
<td class="contentsdoc" valign="top"><m:math><m:msub><m:mi>L</m:mi><m:mn>1</m:mn></m:msub></m:math>-approximation by general linear function subject to linear inequality constraints</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02gcf.xml">E02GCF</a>
<br/><a class="tocexample" href="../../examples/source/e02gcfe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/e02gcfe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">8</td>
<td class="contentsdoc" valign="top"><m:math><m:msub><m:mi>L</m:mi><m:mi>&#8734;</m:mi></m:msub></m:math>-approximation by general linear function</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02raf.xml">E02RAF</a>
<br/><a class="tocexample" href="../../examples/source/e02rafe.f">Example&#160;Text</a></td>
<td class="contentsdoc" valign="top" align="center">7</td>
<td class="contentsdoc" valign="top">Pad&#233; approximants</td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02rbf.xml">E02RBF</a>
<br/><a class="tocexample" href="../../examples/source/e02rbfe.f">Example&#160;Text</a></td>
<td class="contentsdoc" valign="top" align="center">7</td>
<td class="contentsdoc" valign="top">Evaluation of fitted rational function as computed by <a class="rout" href="../E02/e02raf.xml">E02RAF</a></td>
</tr>
<tr>
<td class="contentsdoc" valign="top"><a class="rout" href="../E02/e02zaf.xml">E02ZAF</a>
<br/><a class="tocexample" href="../../examples/source/e02zafe.f">Example&#160;Text</a><br/>
<a class="tocexample" href="../../examples/data/e02zafe.d">Example&#160;Data</a></td>
<td class="contentsdoc" valign="top" align="center">6</td>
<td class="contentsdoc" valign="top">Sort two-dimensional data into panels for fitting bicubic splines</td>
</tr>
</tbody>
</table></div><hr/><div><a class="chap" href="../../pdf/E02/e02conts.pdf">E02 Chapter Contents (PDF version)</a></div><div><a class="chapint" href="e02intro.xml">E02 Chapter Introduction</a></div>
<div><a class="htmltoc" href="../FRONTMATTER/manconts.xml">NAG Library Manual</a></div>
<div><hr/><a class="genint" href="../FRONTMATTER/copyright.xml">&#169; The Numerical Algorithms Group Ltd, Oxford, UK. 2009</a></div></body></html>
