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avram


			
				
					
						
						
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<h4 class="subsection">D.13.1 <code>minpack</code> calling conventions</h4>

<p>The <code>minpack</code> library solves a similar problem to that of the
<code>kinsol</code> library (<a href="kinsol.html#kinsol">kinsol</a>), and the two libraries have
identical calling conventions at the level of the virtual code
interface.

   <p>The <code>hybrd</code> and <code>lmdif</code> functions take input arguments of
the form <code>(</code><var>f</var><code>,(</code><var>i</var><code>,</code><var>o</var><code>))</code>, whereas <code>hybrj</code>,
<code>lmder</code>, and <code>lmstr</code> take arguments of the form
<code>((</code><var>f</var><code>,</code><var>j</var><code>),(</code><var>i</var><code>,</code><var>o</var><code>))</code>.  The interpretations of
these parameters are explained in <a href="kinsol-input-parameters.html#kinsol-input-parameters">kinsol input parameters</a>.

   <p>For the <code>lmstr</code> function, the Jacobian function <var>j</var> takes
<a name="index-Jacobian-783"></a>an argument <code>(</code><var>m</var><code>,</code><var>v</var><code>)</code> and returns only the <var>m</var>-th
row of the Jacobian matrix. For <code>lmder</code> and <code>hybrj</code>, the
Jacobian function takes only an input vector <var>v</var> and returns the
whole matrix. These specifications are also explained further in
relation to the <code>kinsol</code> library.

   <p>The output from any minpack function is a vector <var>v</var> satisfying
<var>f</var><code>(</code><var>v</var><code>) = </code><var>o</var> to the best possible tolerance if a
<a name="index-tolerance-784"></a>solution is found. A range of tolerances over ten orders of magnitude
is sampled starting from <code>1e-15</code>. If no solution is found, an
empty list is returned.

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