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<html xmlns="http://www.w3.org/1999/xhtml" xml:space="preserve"><head><title>C Library, Mark 7 : f16 Chapter Contents</title><link rel="stylesheet" href="../styles/libdoc.css" type="text/css"/></head><body bgcolor="#FFFFFF"><hr/><div><a href="f16_intro.xml">Chapter Introduction</a></div><div><a href="../mark7.xml">NAG C Library Contents</a></div><hr/><img src="../images/topbar/title_numeric_cl.gif" alt="NAG C Library" hspace="0" width="506" height="117" border="0"/>
   <h2><a name="f16"/>f16 &#8211; NAG Interface to BLAS</h2>
         <div class="paramtext">
            <a class="secref" href="../F16/f16_intro.xml">f16</a> Chapter Introduction
         </div>
         <div><table class="contents">
               
               
               
               <tbody>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <b>Routine<br/>Name</b>
                     </td>
                     <td class="contents" align="left" valign="top">
                        <b>Mark of<br/>Introduction</b>
                     </td>
                     <td class="contents" align="left" valign="top">
                        <b>
                           <br/>Purpose</b>
                     </td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16dbc.xml">f16dbc</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16dbc.xml">nag_iload</a>
                        <br/>
                        <span class="keyword">Broadcast</span> 
                        <span class="keyword">scalar</span> into integer <span class="keyword">vector</span>
                     </td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16ecc.xml">f16ecc</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16ecc.xml">nag_daxpby</a>
                        <br/>
                        <span class="keyword">Multiply</span> real <span class="keyword">vector</span> by <span class="keyword">scalar</span>, preserving input <span class="keyword">vector</span>
                     </td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16fbc.xml">f16fbc</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16fbc.xml">nag_dload</a>
                        <br/>
                        <span class="keyword">Broadcast</span> 
                        <span class="keyword">scalar</span> into real <span class="keyword">vector</span>
                     </td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16hbc.xml">f16hbc</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16hbc.xml">nag_zload</a>
                        <br/>
                        <span class="keyword">Broadcast</span> 
                        <span class="keyword">scalar</span> into complex <span class="keyword">vector</span>
                     </td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16pjc.xml">f16pjc</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16pjc.xml">nag_dtrsv</a>
                        <br/>
                        <span class="keyword">System</span> of <span class="keyword">equations</span>, real <span class="keyword">triangular</span> matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16qec.xml">f16qec</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16qec.xml">nag_dtr_copy</a>
                        <br/>Matrix <span class="keyword">copy</span>, real <span class="keyword">triangular</span> matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16qfc.xml">f16qfc</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16qfc.xml">nag_dge_copy</a>
                        <br/>Matrix <span class="keyword">copy</span>, real <span class="keyword">rectangular</span> matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16qgc.xml">f16qgc</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16qgc.xml">nag_dtr_load</a>
                        <br/>Matrix <span class="keyword">initialisation</span>, real <span class="keyword">triangular</span> matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16qhc.xml">f16qhc</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16qhc.xml">nag_dge_load</a>
                        <br/>Matrix <span class="keyword">initialisation</span>, real <span class="keyword">rectangular</span> matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16rac.xml">f16rac</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16rac.xml">nag_dge_norm</a>
                        <br/>
                        <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                           <mn mathvariant="normal">1</mn>
                        </math>-<span class="keyword">norm</span>, <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                           <mi>&#8734;</mi>
                        </math>-<span class="keyword">norm</span>, <span class="keyword">Frobenius</span> 
                        <span class="keyword">norm</span>, <span class="keyword">largest</span> 
                        <span class="keyword">absolute</span> element, real general matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16rbc.xml">f16rbc</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16rbc.xml">nag_dgb_norm</a>
                        <br/>
                        <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                           <mn mathvariant="normal">1</mn>
                        </math>-<span class="keyword">norm</span>, <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                           <mi>&#8734;</mi>
                        </math>-<span class="keyword">norm</span>, <span class="keyword">Frobenius</span> 
                        <span class="keyword">norm</span>, <span class="keyword">largest</span> 
                        <span class="keyword">absolute</span> element, real <span class="keyword">band</span> matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16rcc.xml">f16rcc</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16rcc.xml">nag_dsy_norm</a>
                        <br/>
                        <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                           <mn mathvariant="normal">1</mn>
                        </math>-<span class="keyword">norm</span>, <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                           <mi>&#8734;</mi>
                        </math>-<span class="keyword">norm</span>, <span class="keyword">Frobenius</span> 
                        <span class="keyword">norm</span>, <span class="keyword">largest</span> 
                        <span class="keyword">absolute</span> element, real <span class="keyword">symmetric</span> matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16rdc.xml">f16rdc</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16rdc.xml">nag_dsp_norm</a>
                        <br/>
                        <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                           <mn mathvariant="normal">1</mn>
                        </math>-<span class="keyword">norm</span>, <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                           <mi>&#8734;</mi>
                        </math>-<span class="keyword">norm</span>, <span class="keyword">Frobenius</span> 
                        <span class="keyword">norm</span>, <span class="keyword">largest</span> 
                        <span class="keyword">absolute</span> element, real <span class="keyword">symmetric</span> matrix, <span class="keyword">packed</span> storage</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16rec.xml">f16rec</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16rec.xml">nag_dsb_norm</a>
                        <br/>
                        <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                           <mn mathvariant="normal">1</mn>
                        </math>-<span class="keyword">norm</span>, <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                           <mi>&#8734;</mi>
                        </math>-<span class="keyword">norm</span>, <span class="keyword">Frobenius</span> 
                        <span class="keyword">norm</span>, <span class="keyword">largest</span> 
                        <span class="keyword">absolute</span> element, real <span class="keyword">symmetric</span> 
                        <span class="keyword">band</span> matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16sjc.xml">f16sjc</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16sjc.xml">nag_ztrsv</a>
                        <br/>
                        <span class="keyword">System</span> of <span class="keyword">equations</span>, <span class="keyword">complex</span> 
                        <span class="keyword">triangular</span> matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16tec.xml">f16tec</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16tec.xml">nag_ztr_copy</a>
                        <br/>Matrix <span class="keyword">copy</span>, complex <span class="keyword">triangular</span> matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16tfc.xml">f16tfc</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16tfc.xml">nag_zge_copy</a>
                        <br/>Matrix <span class="keyword">copy</span>, complex <span class="keyword">rectangular</span> matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16tgc.xml">f16tgc</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16tgc.xml">nzg_ztr_load</a>
                        <br/>Matrix <span class="keyword">initialisation</span>, complex <span class="keyword">triangular</span> matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16thc.xml">f16thc</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16thc.xml">nag_zge_load</a>
                        <br/>Matrix <span class="keyword">initialisation</span>, complex <span class="keyword">rectangular</span> matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16uac.xml">f16uac</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16uac.xml">nag_zge_norm</a>
                        <br/>
                        <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                           <mn mathvariant="normal">1</mn>
                        </math>-<span class="keyword">norm</span>, <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                           <mi>&#8734;</mi>
                        </math>-<span class="keyword">norm</span>, <span class="keyword">Frobenius</span> 
                        <span class="keyword">norm</span>, <span class="keyword">largest</span> 
                        <span class="keyword">absolute</span> element, complex general matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16ubc.xml">f16ubc</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16ubc.xml">nag_zgb_norm</a>
                        <br/>
                        <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                           <mn mathvariant="normal">1</mn>
                        </math>-<span class="keyword">norm</span>, <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                           <mi>&#8734;</mi>
                        </math>-<span class="keyword">norm</span>, <span class="keyword">Frobenius</span> 
                        <span class="keyword">norm</span>, <span class="keyword">largest</span> 
                        <span class="keyword">absolute</span> element, complex <span class="keyword">band</span> matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16ucc.xml">f16ucc</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16ucc.xml">nag_zhe_norm</a>
                        <br/>
                        <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                           <mn mathvariant="normal">1</mn>
                        </math>-<span class="keyword">norm</span>, <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                           <mi>&#8734;</mi>
                        </math>-<span class="keyword">norm</span>, <span class="keyword">Frobenius</span> 
                        <span class="keyword">norm</span>, <span class="keyword">largest</span> 
                        <span class="keyword">absolute</span> element, complex <span class="keyword">Hermitian</span> matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16udc.xml">f16udc</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16udc.xml">nag_zhp_norm</a>
                        <br/>
                        <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                           <mn mathvariant="normal">1</mn>
                        </math>-<span class="keyword">norm</span>, <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                           <mi>&#8734;</mi>
                        </math>-<span class="keyword">norm</span>, <span class="keyword">Frobenius</span> 
                        <span class="keyword">norm</span>, <span class="keyword">largest</span> 
                        <span class="keyword">absolute</span> element, complex <span class="keyword">Hermitian</span> matrix, <span class="keyword">packed</span> storage</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16uec.xml">f16uec</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16uec.xml">nag_zhb_norm</a>
                        <br/>
                        <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                           <mn mathvariant="normal">1</mn>
                        </math>-<span class="keyword">norm</span>, <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                           <mi>&#8734;</mi>
                        </math>-<span class="keyword">norm</span>, <span class="keyword">Frobenius</span> 
                        <span class="keyword">norm</span>, <span class="keyword">largest</span> 
                        <span class="keyword">absolute</span> element, complex <span class="keyword">Hermitian</span> 
                        <span class="keyword">band</span> matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16ufc.xml">f16ufc</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16ufc.xml">nag_zsy_norm</a>
                        <br/>
                        <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                           <mn mathvariant="normal">1</mn>
                        </math>-<span class="keyword">norm</span>, <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                           <mi>&#8734;</mi>
                        </math>-<span class="keyword">norm</span>, <span class="keyword">Frobenius</span> 
                        <span class="keyword">norm</span>, <span class="keyword">largest</span> 
                        <span class="keyword">absolute</span> element, complex <span class="keyword">symmetric</span> matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16ugc.xml">f16ugc</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16ugc.xml">nag_zsp_norm</a>
                        <br/>
                        <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                           <mn mathvariant="normal">1</mn>
                        </math>-<span class="keyword">norm</span>, <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:dsi="http://www.w3.org/1999/xlink">
                           <mi>&#8734;</mi>
                        </math>-<span class="keyword">norm</span>, <span class="keyword">Frobenius</span> 
                        <span class="keyword">norm</span>, <span class="keyword">largest</span> 
                        <span class="keyword">absolute</span> element, complex <span class="keyword">symmetric</span> matrix, <span class="keyword">packed</span> storage</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16yjc.xml">f16yjc</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16yjc.xml">nag_dtrsm</a>
                        <br/>Solves a <span class="keyword">system</span> of <span class="keyword">equations</span> with <span class="keyword">multiple</span> 
                        <span class="keyword">right-hand</span> sides, real <span class="keyword">triangular</span> 
                        <span class="keyword">coefficient</span> matrix</td>
                  </tr>
                  <tr>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16zjc.xml">f16zjc</a>
                     </td>
                     <td class="contents" align="left" valign="top">7</td>
                     <td class="contents" align="left" valign="top">
                        <a class="rtnref" href="../F16/f16zjc.xml">nag_ztrsm</a>
                        <br/>Solves <span class="keyword">system</span> of <span class="keyword">equations</span> with <span class="keyword">multiple</span> 
                        <span class="keyword">right-hand</span> sides, <span class="keyword">complex</span> 
                        <span class="keyword">triangular</span> 
                        <span class="keyword">coefficient</span> matrix</td>
                  </tr>
               </tbody>
            </table></div>
      
<hr/><div><a href="f16_intro.xml">Chapter Introduction</a></div><div><a href="../mark7.xml">NAG C Library Contents</a></div>
<div><hr/>
  &#169; The Numerical Algorithms Group Ltd, Oxford, UK. 2004
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