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  </script></head><body><hr/><div><a class="rout" href="../../pdf/D02/d02npf.pdf">D02NPF (PDF version)</a></div><div><a class="chap" href="d02conts.xml">D02 Chapter Contents</a></div><div><a class="chapint" href="d02intro.xml">D02 Chapter Introduction</a></div>
<div><a class="htmltoc" href="../FRONTMATTER/manconts.xml">NAG Library Manual</a></div><hr/><h1 class="libdoc">NAG Library Routine Document<br/><br/>D02NPF</h1><div class="paramtext"><div class="header"><b>Note:</b>&#160; before using this routine, please read the Users' Note for your implementation to check the interpretation of <span class="bitalic">bold italicised</span> terms and other implementation-dependent details.</div></div> 
<div class="htmltoc">
<h2 class="htmltoc"><span class="htmltochead" onclick="showLevel('htmltoc');"><span class="htmltocplus" id="htmltocplus">+</span><span class="htmltocminus" id="htmltocminus">&#8722;</span></span>&#160;Contents</h2>
<div class="htmltocitem" id="htmltoc">
<div class="htmltoc">
<span class="htmltocplus">&#160;&#160;&#160;</span>
<a class="htmltoc" href="#purpose">1&#160;&#160;<b>Purpose</b></a>
</div><div class="htmltoc">
<span class="htmltocplus">&#160;&#160;&#160;</span>
<a class="htmltoc" href="#specification">2&#160;&#160;<b>Specification</b></a>
</div><div class="htmltoc">
<span class="htmltocplus">&#160;&#160;&#160;</span>
<a class="htmltoc" href="#description">3&#160;&#160;<b>Description</b></a>
</div><div class="htmltoc">
<span class="htmltocplus">&#160;&#160;&#160;</span>
<a class="htmltoc" href="#references">4&#160;&#160;<b>References</b></a>
</div><div class="htmltoc">
<span class="htmltocplus">&#160;&#160;&#160;</span>
<a class="htmltoc" href="#parameters">5&#160;&#160;<b>Parameters</b></a>
</div><div class="htmltoc">
<span class="htmltocplus">&#160;&#160;&#160;</span>
<a class="htmltoc" href="#errors">6&#160;&#160;<b>Error Indicators and Warnings</b></a>
</div><div class="htmltoc">
<span class="htmltocplus">&#160;&#160;&#160;</span>
<a class="htmltoc" href="#accuracy">7&#160;&#160;<b>Accuracy</b></a>
</div><div class="htmltoc">
<span class="htmltocplus">&#160;&#160;&#160;</span>
<a class="htmltoc" href="#fcomments">8&#160;&#160;<b>Further Comments</b></a>
</div><div class="htmltoc">
<span class="htmltocplus">&#160;&#160;&#160;</span>
<a class="htmltoc" href="#example">9&#160;&#160;<b>Example</b></a>
</div>
</div>
</div><h2 class="standard"><a class="sec" name="purpose" id="purpose"/>1&#160;&#160;Purpose</h2>
<div class="paramtext">D02NPF is a setup routine which you must call prior to <a class="rout" href="../D02/d02nef.xml">D02NEF</a> and after a call to <a class="rout" href="../D02/d02mwf.xml">D02MWF</a>, if the Jacobian is to be considered as having a banded structure.</div><h2 class="standard"><a class="sec" name="specification" id="specification"/>2&#160;&#160;Specification</h2>
<table class="fspec"><tr><td class="tdfspec1">SUBROUTINE&#160;D02NPF&#160;(</td><td class="tdfspec2"><a class="arg" href="#NEQ">NEQ</a>, <a class="arg" href="#ML">ML</a>, <a class="arg" href="#MU">MU</a>, <a class="arg" href="#ICOM">ICOM</a>, <a class="arg" href="#LICOM">LICOM</a>, <a class="arg" href="#IFAIL">IFAIL</a>)</td></tr><tr><td class="tdfspec1">INTEGER</td><td class="tdfspec2">NEQ, ML, MU, ICOM(LICOM), LICOM, IFAIL</td></tr></table><h2 class="standard"><a class="sec" name="description" id="description"/>3&#160;&#160;Description</h2>
<div class="paramtext">A call to D02NPF specifies that the Jacobian to be used is banded in structure. If D02NPF is not called before a call to <a class="rout" href="../D02/d02nef.xml">D02NEF</a> then the Jacobian is assumed to be full.</div><h2 class="standard"><a class="sec" name="references" id="references"/>4&#160;&#160;References</h2>
<div class="paramtext">None.</div><h2 class="standard"><a class="sec" name="parameters" id="parameters"/>5&#160;&#160;Parameters</h2>
<dl><dt class="paramhead"><a name="NEQ" id="NEQ"/>1: &#160;&#160;&#8194; NEQ &#8211; INTEGER<span class="pclass">Input</span></dt><dd><div class="paramtext"><i>On entry</i>: the number of differential-algebraic equations to be solved.</div><div class="paramtext"><i>Constraint</i>:
  <m:math><m:mn>1</m:mn><m:mo>&#8804;</m:mo><m:maction actiontype="link" dsi:type="simple" dsi:href="#NEQ"><m:mi mathcolor="#EE0000" mathvariant="bold">NEQ</m:mi></m:maction></m:math>.
</div>
</dd><dt class="paramhead"><a name="ML" id="ML"/>2: &#160;&#160;&#8194; ML &#8211; INTEGER<span class="pclass">Input</span></dt><dd>
<div class="paramtext"><i>On entry</i>: <m:math><m:msub><m:mi>m</m:mi><m:mi>L</m:mi></m:msub></m:math>,
 
the number of subdiagonals in the band.</div><div class="paramtext"><i>Constraint</i>:
  <m:math><m:mn>0</m:mn><m:mo>&#8804;</m:mo><m:maction actiontype="link" dsi:type="simple" dsi:href="#ML"><m:mi mathcolor="#EE0000" mathvariant="bold">ML</m:mi></m:maction><m:mo>&#8804;</m:mo><m:maction actiontype="link" dsi:type="simple" dsi:href="#NEQ"><m:mi mathcolor="#EE0000" mathvariant="bold">NEQ</m:mi></m:maction><m:mo>-</m:mo><m:mn>1</m:mn></m:math>.
</div></dd><dt class="paramhead"><a name="MU" id="MU"/>3: &#160;&#160;&#8194; MU &#8211; INTEGER<span class="pclass">Input</span></dt><dd>
<div class="paramtext"><i>On entry</i>: <m:math><m:msub><m:mi>m</m:mi><m:mi>U</m:mi></m:msub></m:math>,
 
the number of superdiagonals in the band.</div><div class="paramtext"><i>Constraint</i>:
  <m:math><m:mn>0</m:mn><m:mo>&#8804;</m:mo><m:maction actiontype="link" dsi:type="simple" dsi:href="#MU"><m:mi mathcolor="#EE0000" mathvariant="bold">MU</m:mi></m:maction><m:mo>&#8804;</m:mo><m:maction actiontype="link" dsi:type="simple" dsi:href="#NEQ"><m:mi mathcolor="#EE0000" mathvariant="bold">NEQ</m:mi></m:maction><m:mo>-</m:mo><m:mn>1</m:mn></m:math>.
</div></dd><dt class="paramhead"><a name="ICOM" id="ICOM"/>4: &#160;&#160;&#8194; ICOM(<a class="arg" href="#LICOM">LICOM</a>) &#8211; INTEGER array<span class="pclass">Communication Array</span></dt><dd>
<div class="paramtext"><a class="arg" href="#ICOM">ICOM</a> is used to communicate details of the integration from <a class="rout" href="../D02/d02mwf.xml">D02MWF</a> and details of the banded structure of the Jacobian to <a class="rout" href="../D02/d02nef.xml">D02NEF</a>.</div>
</dd><dt class="paramhead"><a name="LICOM" id="LICOM"/>5: &#160;&#160;&#8194; LICOM &#8211; INTEGER<span class="pclass">Input</span></dt><dd>
<div class="paramtext"><i>On entry</i>: the dimension of the array <a class="arg" href="#ICOM">ICOM</a> as declared in the (sub)program from which D02NPF is called.</div><div class="paramtext"><i>Constraint</i>:
  <m:math><m:maction actiontype="link" dsi:type="simple" dsi:href="#LICOM"><m:mi mathcolor="#EE0000" mathvariant="bold">LICOM</m:mi></m:maction><m:mo>&#8805;</m:mo><m:mn>50</m:mn><m:mo>+</m:mo><m:maction actiontype="link" dsi:type="simple" dsi:href="#NEQ"><m:mi mathcolor="#EE0000" mathvariant="bold">NEQ</m:mi></m:maction></m:math>.
</div>
</dd><dt class="paramhead"><a name="IFAIL" id="IFAIL"/>6: &#160;&#160;&#8194; IFAIL &#8211; INTEGER<span class="pclass">Input/Output</span></dt><dd>
<div class="paramtext"><i>On entry</i>: <a class="arg" href="#IFAIL">IFAIL</a> must be set to <m:math><m:mn>0</m:mn></m:math>, <m:math><m:mrow><m:mo>-</m:mo><m:mn>1</m:mn></m:mrow><m:mtext>&#8203; or &#8203;</m:mtext><m:mn>1</m:mn></m:math>. If you are unfamiliar with this parameter you should refer to <a class="sec" href="../GENINT/essint.xml#library3">Section 3.3</a> in  the Essential Introduction for details.</div>
<div class="paramtext"><i>On exit</i>: <m:math><m:maction actiontype="link" dsi:type="simple" dsi:href="#IFAIL"><m:mi mathcolor="#EE0000" mathvariant="bold">IFAIL</m:mi></m:maction><m:mo>=</m:mo><m:maction actiontype="link" dsi:type="simple" dsi:href="#errors"><m:mn mathcolor="#003399" mathvariant="bold">0</m:mn></m:maction></m:math>&#160;unless the routine detects an error (see <a class="sec" href="#errors">Section 6</a>). <div class="paramtext">For environments where it might be inappropriate to halt program execution when an error is detected, the value <m:math><m:mrow><m:mo>-</m:mo><m:mn>1</m:mn></m:mrow><m:mtext>&#8203; or &#8203;</m:mtext><m:mn>1</m:mn></m:math>&#160;is recommended.  If the output of error messages is undesirable, then the value <m:math><m:mn>1</m:mn></m:math>&#160;is recommended.  Otherwise, if you are not familiar with this parameter, the recommended value is <m:math><m:mn>0</m:mn></m:math>.  <b>When the value <m:math><m:mrow><m:mo>-</m:mo><m:mn mathvariant="bold">1</m:mn></m:mrow><m:mtext>&#8203; or &#8203;</m:mtext><m:mn mathvariant="bold">1</m:mn></m:math>&#160;is used it is essential to test the value of <a class="arg" href="#IFAIL">IFAIL</a> on exit.</b></div></div></dd></dl><h2 class="standard"><a class="sec" name="errors" id="errors"/>6&#160;&#160;Error Indicators and Warnings</h2>
<div class="paramtext">If on entry <m:math><m:maction actiontype="link" dsi:type="simple" dsi:href="#IFAIL"><m:mi mathcolor="#EE0000" mathvariant="bold">IFAIL</m:mi></m:maction><m:mo>=</m:mo><m:maction actiontype="link" dsi:type="simple" dsi:href="#errors"><m:mn mathcolor="#003399" mathvariant="bold">0</m:mn></m:maction></m:math>&#160;or <m:math><m:maction actiontype="link" dsi:type="simple" dsi:href="#errors"><m:mn mathcolor="#003399" mathvariant="bold">-1</m:mn></m:maction></m:math>, explanatory error messages are output on the current error message unit (as defined by <a class="rout" href="../X04/x04aaf.xml">X04AAF</a>).</div><div class="paramtext">Errors or warnings detected by the routine:</div>
<dl class="ifail">
<dt class="errorhead"><a name="IFeq1" id="IFeq1"/><m:math><m:maction actiontype="link" dsi:type="simple" dsi:href="#IFAIL"><m:mi mathcolor="#EE0000" mathvariant="bold">IFAIL</m:mi></m:maction><m:mo>=</m:mo><m:mn>1</m:mn></m:math></dt>
<dd>
<table class="ifail"><tr><td class="ifail1">On&#160;entry,</td><td class="ifail2-90"><m:math><m:maction actiontype="link" dsi:type="simple" dsi:href="#NEQ"><m:mi mathcolor="#EE0000" mathvariant="bold">NEQ</m:mi></m:maction><m:mo>&lt;</m:mo><m:mn>1</m:mn></m:math>.</td></tr></table>
</dd>
</dl><dl class="ifail">
<dt class="errorhead"><a name="IFeq2" id="IFeq2"/><m:math><m:maction actiontype="link" dsi:type="simple" dsi:href="#IFAIL"><m:mi mathcolor="#EE0000" mathvariant="bold">IFAIL</m:mi></m:maction><m:mo>=</m:mo><m:mn>2</m:mn></m:math></dt>
<dd>
<table class="ifail"><tr><td class="ifail1">On&#160;entry,</td><td class="ifail2-90"><m:math><m:maction actiontype="link" dsi:type="simple" dsi:href="#ML"><m:mi mathcolor="#EE0000" mathvariant="bold">ML</m:mi></m:maction><m:mo>&lt;</m:mo><m:mn>0</m:mn></m:math>&#160;or <m:math><m:maction actiontype="link" dsi:type="simple" dsi:href="#ML"><m:mi mathcolor="#EE0000" mathvariant="bold">ML</m:mi></m:maction><m:mo>&gt;</m:mo><m:maction actiontype="link" dsi:type="simple" dsi:href="#NEQ"><m:mi mathcolor="#EE0000" mathvariant="bold">NEQ</m:mi></m:maction><m:mo>-</m:mo><m:mn>1</m:mn></m:math>.</td></tr></table>
</dd>
</dl><dl class="ifail">
<dt class="errorhead"><a name="IFeq3" id="IFeq3"/><m:math><m:maction actiontype="link" dsi:type="simple" dsi:href="#IFAIL"><m:mi mathcolor="#EE0000" mathvariant="bold">IFAIL</m:mi></m:maction><m:mo>=</m:mo><m:mn>3</m:mn></m:math></dt>
<dd>
<table class="ifail"><tr><td class="ifail1">On&#160;entry,</td><td class="ifail2-90"><m:math><m:maction actiontype="link" dsi:type="simple" dsi:href="#MU"><m:mi mathcolor="#EE0000" mathvariant="bold">MU</m:mi></m:maction><m:mo>&lt;</m:mo><m:mn>0</m:mn></m:math>&#160;or <m:math><m:maction actiontype="link" dsi:type="simple" dsi:href="#MU"><m:mi mathcolor="#EE0000" mathvariant="bold">MU</m:mi></m:maction><m:mo>&gt;</m:mo><m:maction actiontype="link" dsi:type="simple" dsi:href="#NEQ"><m:mi mathcolor="#EE0000" mathvariant="bold">NEQ</m:mi></m:maction><m:mo>-</m:mo><m:mn>1</m:mn></m:math>.</td></tr></table>
</dd>
</dl><dl class="ifail">
<dt class="errorhead"><a name="IFeq4" id="IFeq4"/><m:math><m:maction actiontype="link" dsi:type="simple" dsi:href="#IFAIL"><m:mi mathcolor="#EE0000" mathvariant="bold">IFAIL</m:mi></m:maction><m:mo>=</m:mo><m:mn>4</m:mn></m:math></dt>
<dd>
<div class="paramtext">Either <a class="rout" href="../D02/d02mwf.xml">D02MWF</a> has not been called before this call or the communication array <a class="arg" href="#ICOM">ICOM</a> has been corrupted.</div>
</dd>
</dl><dl class="ifail">
<dt class="errorhead"><a name="IFeq5" id="IFeq5"/><m:math><m:maction actiontype="link" dsi:type="simple" dsi:href="#IFAIL"><m:mi mathcolor="#EE0000" mathvariant="bold">IFAIL</m:mi></m:maction><m:mo>=</m:mo><m:mn>5</m:mn></m:math></dt>
<dd>
<table class="ifail"><tr><td class="ifail1">On&#160;entry,</td><td class="ifail2-90"><m:math><m:maction actiontype="link" dsi:type="simple" dsi:href="#LICOM"><m:mi mathcolor="#EE0000" mathvariant="bold">LICOM</m:mi></m:maction><m:mo>&lt;</m:mo><m:mn>50</m:mn><m:mo>+</m:mo><m:maction actiontype="link" dsi:type="simple" dsi:href="#NEQ"><m:mi mathcolor="#EE0000" mathvariant="bold">NEQ</m:mi></m:maction></m:math>.</td></tr></table>
</dd>
</dl><h2 class="standard"><a class="sec" name="accuracy" id="accuracy"/>7&#160;&#160;Accuracy</h2>
<div class="paramtext">Not applicable.</div><h2 class="standard"><a class="sec" name="fcomments" id="fcomments"/>8&#160;&#160;Further Comments</h2>
<div class="paramtext">None.</div><h2 class="standard"><a class="sec" name="example" id="example"/>9&#160;&#160;Example</h2>
<div class="paramtext">See Section 9 in <a class="rout" href="../D02/d02nef.xml">D02NEF</a> and <a class="rout" href="../D02/d02mwf.xml">D02MWF</a>.</div>
<hr/><div><a class="rout" href="../../pdf/D02/d02npf.pdf">D02NPF (PDF version)</a></div><div><a class="chap" href="d02conts.xml">D02 Chapter Contents</a></div><div><a class="chapint" href="d02intro.xml">D02 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>
