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<div class="line">2432902008176640000</div>
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<div class="ttc" id="anamespacenumerical__methods_html"><div class="ttname"><a href="../../d1/de0/namespacenumerical__methods.html">numerical_methods</a></div><div class="ttdoc">for assert</div></div>
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</div><!-- fragment --><p> Sample implementation results to compute approximate roots of the equation \(x^4-1=0\):<br />
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<img src="https://raw.githubusercontent.com/TheAlgorithms/C-Plus-Plus/docs/images/numerical_methods/durand_kerner_error.svg" alt="Error evolution during root approximations computed every
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iteration." style="pointer-events: none;" width="400" class="inline"/> <img src="https://raw.githubusercontent.com/TheAlgorithms/C-Plus-Plus/docs/images/numerical_methods/durand_kerner_roots.svg" alt="Roots evolution - shows the initial approximation of the
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roots and their convergence to a final approximation along with the iterative
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approximations" style="pointer-events: none;" width="400" class="inline"/> </p>
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iteration." style="pointer-events: none;" width="400" class="inline"/> <img src="https://raw.githubusercontent.com/TheAlgorithms/C-Plus-Plus/docs/images/numerical_methods/durand_kerner_roots.svg" alt="Roots evolution - shows the initial approximation of the
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roots and their convergence to a final approximation along with the iterative
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approximations" style="pointer-events: none;" width="400" class="inline"/> </p>
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</div><h2 class="groupheader">Macro Definition Documentation</h2>
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<a id="af270a96662132d0385cb6b4637c5a689" name="af270a96662132d0385cb6b4637c5a689"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#af270a96662132d0385cb6b4637c5a689">◆ </a></span>ACCURACY</h2>
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<tr>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a>< uint32_t, double > durand_kerner_algo </td>
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<td>(</td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double > &</td> <td class="paramname"><span class="paramname"><em>coeffs</em>, </span></td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double > &</td> <td class="paramname"><span class="paramname"><em>coeffs</em></span>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/complex.html">std::complex</a>< double > > *</td> <td class="paramname"><span class="paramname"><em>roots</em></span>, </td>
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<td class="paramtype">bool</td> <td class="paramname"><span class="paramname"><em>write_log</em><span class="paramdefsep"> = </span><span class="paramdefval">false</span></span> )</td>
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<td class="memname">int main </td>
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