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<p>Method of successive approximations using <a href="https://en.wikipedia.org/wiki/Fixed-point_iteration">fixed-point iteration</a> method.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cmath&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
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Include dependency graph for successive_approximation.cpp:</div>
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Functions</h2></td></tr>
<tr class="memitem:a79c1d08919ff7780a5d7723172602389"><td class="memItemLeft" align="right" valign="top">static float&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/dc8/successive__approximation_8cpp.html#a79c1d08919ff7780a5d7723172602389">eq</a> (float y)</td></tr>
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<tr class="memitem:ae89c36add7c55298c5195d0a83de1456"><td class="memItemLeft" align="right" valign="top">static float&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/dc8/successive__approximation_8cpp.html#ae89c36add7c55298c5195d0a83de1456">eqd</a> (float y)</td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/dc8/successive__approximation_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Method of successive approximations using <a href="https://en.wikipedia.org/wiki/Fixed-point_iteration">fixed-point iteration</a> method. </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a79c1d08919ff7780a5d7723172602389"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a79c1d08919ff7780a5d7723172602389">&#9670;&nbsp;</a></span>eq()</h2>
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<td class="memname">static float eq </td>
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<td class="paramtype">float&#160;</td>
<td class="paramname"><em>y</em></td><td>)</td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>equation 1 </p><p class="formulaDsp">
\[f(y) = 3y - \cos y -2\]
</p>
<div class="fragment"><div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;{ <span class="keywordflow">return</span> (3 * y) - <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">cos</a>(y) - 2; }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae89c36add7c55298c5195d0a83de1456">&#9670;&nbsp;</a></span>eqd()</h2>
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<td class="memname">static float eqd </td>
<td>(</td>
<td class="paramtype">float&#160;</td>
<td class="paramname"><em>y</em></td><td>)</td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>equation 2 </p><p class="formulaDsp">
\[f(y) = \frac{\cos y+2}{2}\]
</p>
<div class="fragment"><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;{ <span class="keywordflow">return</span> 0.5 * (<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">cos</a>(y) + 2); }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
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<td class="memname">int main </td>
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<p>Main function </p>
<div class="fragment"><div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160; {</div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160; <span class="keywordtype">float</span> y, x1, x2, x3, sum, s, <a class="code" href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a>, f1, f2, gd;</div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160; <span class="keywordtype">int</span> i, n;</div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>&#160; </div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt; 10; i++) {</div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160; sum = <a class="code" href="../../df/dc8/successive__approximation_8cpp.html#a79c1d08919ff7780a5d7723172602389">eq</a>(y);</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;value of equation at &quot;</span> &lt;&lt; i &lt;&lt; <span class="stringliteral">&quot; &quot;</span> &lt;&lt; sum &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160; y++;</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160; }</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;enter the x1-&gt;&quot;</span>;</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; x1;</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;enter the no iteration to perform-&gt;\n&quot;</span>;</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; n;</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; </div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; <span class="keywordflow">for</span> (i = 0; i &lt;= n; i++) {</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>&#160; x2 = <a class="code" href="../../df/dc8/successive__approximation_8cpp.html#ae89c36add7c55298c5195d0a83de1456">eqd</a>(x1);</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;\nenter the x2-&gt;&quot;</span> &lt;&lt; x2;</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; x1 = x2;</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; }</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160;}</div>
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<div class="ttc" id="acos_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">std::cos</a></div><div class="ttdeci">T cos(T... args)</div></div>
<div class="ttc" id="asuccessive__approximation_8cpp_html_ae89c36add7c55298c5195d0a83de1456"><div class="ttname"><a href="../../df/dc8/successive__approximation_8cpp.html#ae89c36add7c55298c5195d0a83de1456">eqd</a></div><div class="ttdeci">static float eqd(float y)</div><div class="ttdef"><b>Definition:</b> successive_approximation.cpp:17</div></div>
<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
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<div class="ttc" id="amatrix__exponentiation_8cpp_html_a9ecd98ce0064e2f7f97bb6a92f58ee72"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#a9ecd98ce0064e2f7f97bb6a92f58ee72">a</a></div><div class="ttdeci">vector&lt; ll &gt; a</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:53</div></div>
<div class="ttc" id="abasic_istream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a></div></div>
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