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reference/linalg.html

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<p class="text-right"><small>
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最終更新日時(UTC):
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<span itemprop="datePublished" content="2024-06-30T03:04:52">
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2024年06月30日 03時04分52秒
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<span itemprop="datePublished" content="2024-07-02T07:25:53">
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2024年07月02日 07時25分53秒
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@@ -438,7 +438,7 @@ <h2>BLAS 2アルゴリズム</h2>
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<td>C++26</td>
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<td><code>matrix_rank_1_update_c</code></td>
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<td><code><a href="linalg/matrix_rank_1_update_c.html">matrix_rank_1_update_c</a></code></td>
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<td>xGERC: 複素行列のRank-1更新 (function template)</td>
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<td>C++26</td>
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reference/linalg/matrix_rank_1_update.html

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<header data-kunai-mdinfo="{&#34;meta&#34;: {&#34;header&#34;: [&#34;linalg&#34;], &#34;id-type&#34;: [&#34;function template&#34;], &#34;namespace&#34;: [&#34;std::linalg&#34;], &#34;cpp&#34;: [&#34;cpp26&#34;]}, &#34;sources&#34;: [{&#34;id&#34;: &#34;2d4a86be1c15ab5395d1f4c27553c366a0963c07&#34;, &#34;source&#34;: &#34;#include &lt;array&gt;\n#include &lt;iostream&gt;\n#include &lt;linalg&gt;\n#include &lt;mdspan&gt;\n#include &lt;vector&gt;\n\ntemplate &lt;class Matrix&gt;\nvoid print_mat(const Matrix&amp; v) {\n for(int i = 0; i &lt; A.extent(0); ++i) {\n for(int j = 0; j &lt; A.extent(1) - 1; ++j) {\n std::cout &lt;&lt; A[i, j] &lt;&lt; &#39; &#39;;\n }\n std::cout &lt;&lt; A[i, A.extent(1) - 1] &lt;&lt; &#39;\\n&#39;;\n }\n}\n\ntemplate &lt;class Vector&gt;\nvoid init_vec(Vector&amp; v) {\n for (int i = 0; i &lt; v.extent(0); ++i) {\n v[i] = i;\n }\n}\n\ntemplate &lt;class Matrix&gt;\nvoid init_mat(Matrix&amp; A) {\n for(int i = 0; i &lt; A.extent(0); ++i) {\n for(int j = 0; j &lt; A.extent(1); ++j) {\n A[i,j] = A.extent(1) * i + j;\n }\n }\n}\n\nint main()\n{\n constexpr size_t N = 4;\n\n std::vector&lt;double&gt; A_vec(N * N);\n std::vector&lt;double&gt; x_vec(N);\n std::array&lt;double, N&gt; y_vec;\n\n std::mdspan&lt;\n double,\n std::extents&lt;size_t, N, N&gt;&gt; A(A_vec.data());\n std::mdspan x(x_vec.data(), N);\n std::mdspan y(y_vec.data(), N);\n\n init_mat(A)\n init_vec(x);\n init_vec(y);\n\n // (1)\n std::cout &lt;&lt; \&#34;(1)\\n\&#34;;\n std::linalg::matrix_rank_1_update(\n x,\n y,\n A);\n print_mat(A);\n\n init_mat(A);\n\n // (2)\n std::cout &lt;&lt; \&#34;(2)\\n\&#34;;\n std::linalg::matrix_rank_1_update(\n std::execution::par,\n x,\n y,\n A);\n print_mat(A);\n\n return 0;\n}\n&#34;}], &#34;page_id&#34;: [&#34;reference&#34;, &#34;linalg&#34;, &#34;matrix_rank_1_update&#34;]}">
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<header data-kunai-mdinfo="{&#34;meta&#34;: {&#34;header&#34;: [&#34;linalg&#34;], &#34;id-type&#34;: [&#34;function template&#34;], &#34;namespace&#34;: [&#34;std::linalg&#34;], &#34;cpp&#34;: [&#34;cpp26&#34;]}, &#34;sources&#34;: [{&#34;id&#34;: &#34;7bd051a62e4ec348b4554ee045a3055ef716d94e&#34;, &#34;source&#34;: &#34;#include &lt;array&gt;\n#include &lt;iostream&gt;\n#include &lt;linalg&gt;\n#include &lt;mdspan&gt;\n#include &lt;vector&gt;\n\ntemplate &lt;class Matrix&gt;\nvoid print_mat(const Matrix&amp; A) {\n for(int i = 0; i &lt; A.extent(0); ++i) {\n for(int j = 0; j &lt; A.extent(1) - 1; ++j) {\n std::cout &lt;&lt; A[i, j] &lt;&lt; &#39; &#39;;\n }\n std::cout &lt;&lt; A[i, A.extent(1) - 1] &lt;&lt; &#39;\\n&#39;;\n }\n}\n\ntemplate &lt;class Vector&gt;\nvoid init_vec(Vector&amp; v) {\n for (int i = 0; i &lt; v.extent(0); ++i) {\n v[i] = i;\n }\n}\n\ntemplate &lt;class Matrix&gt;\nvoid init_mat(Matrix&amp; A) {\n for(int i = 0; i &lt; A.extent(0); ++i) {\n for(int j = 0; j &lt; A.extent(1); ++j) {\n A[i,j] = A.extent(1) * i + j;\n }\n }\n}\n\nint main()\n{\n constexpr size_t N = 4;\n\n std::vector&lt;double&gt; A_vec(N * N);\n std::vector&lt;double&gt; x_vec(N);\n std::array&lt;double, N&gt; y_vec;\n\n std::mdspan&lt;\n double,\n std::extents&lt;size_t, N, N&gt;&gt; A(A_vec.data());\n std::mdspan x(x_vec.data(), N);\n std::mdspan y(y_vec.data(), N);\n\n init_mat(A);\n init_vec(x);\n init_vec(y);\n\n // (1)\n std::cout &lt;&lt; \&#34;(1)\\n\&#34;;\n std::linalg::matrix_rank_1_update(\n x,\n y,\n A);\n print_mat(A);\n\n init_mat(A);\n\n // (2)\n std::cout &lt;&lt; \&#34;(2)\\n\&#34;;\n std::linalg::matrix_rank_1_update(\n std::execution::par,\n x,\n y,\n A);\n print_mat(A);\n\n return 0;\n}\n&#34;}], &#34;page_id&#34;: [&#34;reference&#34;, &#34;linalg&#34;, &#34;matrix_rank_1_update&#34;]}">
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<p class="text-right"><small>
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最終更新日時(UTC):
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<span itemprop="datePublished" content="2024-06-30T03:04:52">
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2024年06月30日 03時04分52秒
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<span itemprop="datePublished" content="2024-07-02T07:27:21">
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2024年07月02日 07時27分21秒
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@@ -275,14 +275,14 @@ <h2>計算量</h2>
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<p>$O(\verb|x.extent(0)|\times \verb|y.extent(0)|)$</p>
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<h2></h2>
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<p><strong>[注意] 処理系にあるコンパイラで確認していないため、間違っているかもしれません。</strong></p>
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<p><div class="yata" id="2d4a86be1c15ab5395d1f4c27553c366a0963c07"><div class="codehilite"><pre><span></span><code><span class="cp">#include</span> <span class="cpf"><a href="../array.html">&lt;array&gt;</a></span><span class="cp"></span>
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<p><div class="yata" id="7bd051a62e4ec348b4554ee045a3055ef716d94e"><div class="codehilite"><pre><span></span><code><span class="cp">#include</span> <span class="cpf"><a href="../array.html">&lt;array&gt;</a></span><span class="cp"></span>
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<span class="cp">#include</span> <span class="cpf"><a href="../iostream.html">&lt;iostream&gt;</a></span><span class="cp"></span>
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<span class="cp">#include</span> <span class="cpf"><a href="../linalg.html">&lt;linalg&gt;</a></span><span class="cp"></span>
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<span class="cp">#include</span> <span class="cpf"><a href="../mdspan.html">&lt;mdspan&gt;</a></span><span class="cp"></span>
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<span class="cp">#include</span> <span class="cpf"><a href="../vector.html">&lt;vector&gt;</a></span><span class="cp"></span>
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<span class="k">template</span> <span class="o">&lt;</span><span class="k">class</span> <span class="nc">Matrix</span><span class="o">&gt;</span>
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<span class="kt">void</span> <span class="n">print_mat</span><span class="p">(</span><span class="k">const</span> <span class="n">Matrix</span><span class="o">&amp;</span> <span class="n">v</span><span class="p">)</span> <span class="p">{</span>
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<span class="kt">void</span> <span class="n">print_mat</span><span class="p">(</span><span class="k">const</span> <span class="n">Matrix</span><span class="o">&amp;</span> <span class="n">A</span><span class="p">)</span> <span class="p">{</span>
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<span class="k">for</span><span class="p">(</span><span class="kt">int</span> <span class="n">i</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span> <span class="n">i</span> <span class="o">&lt;</span> <span class="n">A</span><span class="p">.</span><span class="n">extent</span><span class="p">(</span><span class="mi">0</span><span class="p">);</span> <span class="o">++</span><span class="n">i</span><span class="p">)</span> <span class="p">{</span>
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<span class="k">for</span><span class="p">(</span><span class="kt">int</span> <span class="n">j</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span> <span class="n">j</span> <span class="o">&lt;</span> <span class="n">A</span><span class="p">.</span><span class="n">extent</span><span class="p">(</span><span class="mi">1</span><span class="p">)</span> <span class="o">-</span> <span class="mi">1</span><span class="p">;</span> <span class="o">++</span><span class="n">j</span><span class="p">)</span> <span class="p">{</span>
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<span class="n"><a href="../iostream/cout.html">std::cout</a></span> <span class="o">&lt;&lt;</span> <span class="n">A</span><span class="p">[</span><span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">]</span> <span class="o">&lt;&lt;</span> <span class="sc">' '</span><span class="p">;</span>
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<span class="n"><a href="../mdspan/mdspan.html">std::mdspan</a></span> <span class="nf">x</span><span class="p">(</span><span class="n">x_vec</span><span class="p">.</span><span class="n">data</span><span class="p">(),</span> <span class="n">N</span><span class="p">);</span>
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<span class="n"><a href="../mdspan/mdspan.html">std::mdspan</a></span> <span class="nf">y</span><span class="p">(</span><span class="n">y_vec</span><span class="p">.</span><span class="n">data</span><span class="p">(),</span> <span class="n">N</span><span class="p">);</span>
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<span class="n">init_mat</span><span class="p">(</span><span class="n">A</span><span class="p">)</span>
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<span class="n">init_mat</span><span class="p">(</span><span class="n">A</span><span class="p">);</span>
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<span class="n">init_vec</span><span class="p">(</span><span class="n">x</span><span class="p">);</span>
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<span class="n">init_vec</span><span class="p">(</span><span class="n">y</span><span class="p">);</span>
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<ul>
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<li><code><a href="../execution.html">execution</a></code></li>
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<li><code><a href="../mdspan.html">mdspan</a></code></li>
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<li><code><a href="matrix_rank_1_update_c.html">matrix_rank_1_update_c</a></code></li>
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<h2>参照</h2>
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<ul>

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