Deploy: 3a801d3

Author: array-api-bot

draft/extensions/generated/array_api.linalg.eigh.html

@@ -366,10 +366,6 @@ <h1 id="extensions-generated-array-api-linalg-eigh--page-root">eigh<a class="hea
 <p class="admonition-title">Note</p>
 <p>Whether an array library explicitly checks whether an input array is Hermitian or a symmetric matrix (or a stack of matrices) is implementation-defined.</p>
 </div>
-<div class="admonition note">
-<p class="admonition-title">Note</p>
-<p>The function <code class="docutils literal notranslate"><span class="pre">eig</span></code> will be added in a future version of the specification.</p>
-</div>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>
 <dd class="field-odd"><p><strong>x</strong> (<em>array</em>) – input array having shape <code class="docutils literal notranslate"><span class="pre">(...,</span> <span class="pre">M,</span> <span class="pre">M)</span></code> and whose innermost two dimensions form square matrices. Should have a floating-point data type.</p>
@@ -378,7 +374,7 @@ <h1 id="extensions-generated-array-api-linalg-eigh--page-root">eigh<a class="hea
 <dd class="field-even"><p><strong>out</strong> (<em>Tuple[array, array]</em>) – a namedtuple (<code class="docutils literal notranslate"><span class="pre">eigenvalues</span></code>, <code class="docutils literal notranslate"><span class="pre">eigenvectors</span></code>) whose</p>
 <ul class="simple">
 <li><p>first element must have the field name <code class="docutils literal notranslate"><span class="pre">eigenvalues</span></code> (corresponding to <span class="math notranslate nohighlight">\(\operatorname{diag}\Lambda\)</span> above) and must be an array consisting of computed eigenvalues. The array containing the eigenvalues must have shape <code class="docutils literal notranslate"><span class="pre">(...,</span> <span class="pre">M)</span></code> and must have a real-valued floating-point data type whose precision matches the precision of <code class="docutils literal notranslate"><span class="pre">x</span></code> (e.g., if <code class="docutils literal notranslate"><span class="pre">x</span></code> is <code class="docutils literal notranslate"><span class="pre">complex128</span></code>, then <code class="docutils literal notranslate"><span class="pre">eigenvalues</span></code> must be <code class="docutils literal notranslate"><span class="pre">float64</span></code>).</p></li>
-<li><p>second element have have the field name <code class="docutils literal notranslate"><span class="pre">eigenvectors</span></code> (corresponding to <span class="math notranslate nohighlight">\(Q\)</span> above) and must be an array where the columns of the inner most matrices contain the computed eigenvectors. These matrices must be orthogonal. The array containing the eigenvectors must have shape <code class="docutils literal notranslate"><span class="pre">(...,</span> <span class="pre">M,</span> <span class="pre">M)</span></code> and must have the same data type as <code class="docutils literal notranslate"><span class="pre">x</span></code>.</p></li>
+<li><p>second element must have the field name <code class="docutils literal notranslate"><span class="pre">eigenvectors</span></code> (corresponding to <span class="math notranslate nohighlight">\(Q\)</span> above) and must be an array where the columns of the inner most matrices contain the computed eigenvectors. These matrices must be orthogonal. The array containing the eigenvectors must have shape <code class="docutils literal notranslate"><span class="pre">(...,</span> <span class="pre">M,</span> <span class="pre">M)</span></code> and must have the same data type as <code class="docutils literal notranslate"><span class="pre">x</span></code>.</p></li>
 </ul>
 </dd>
 </dl>

draft/extensions/generated/array_api.linalg.eigvalsh.html

@@ -355,11 +355,11 @@ <h1 id="extensions-generated-array-api-linalg-eigvalsh--page-root">eigvalsh<a cl
 <p>where <span class="math notranslate nohighlight">\(\lambda \in \mathbb{R}\)</span> and where <span class="math notranslate nohighlight">\(I_n\)</span> is the <em>n</em>-dimensional identity matrix.</p>
 <div class="admonition note">
 <p class="admonition-title">Note</p>
-<p>Whether an array library explicitly checks whether an input array is Hermitian or a symmetric matrix (or a stack of matrices) is implementation-defined.</p>
+<p>The eigenvalues of a complex Hermitian or real symmetric matrix are always real.</p>
 </div>
 <div class="admonition note">
 <p class="admonition-title">Note</p>
-<p>The function <code class="docutils literal notranslate"><span class="pre">eigvals</span></code> will be added in a future version of the specification.</p>
+<p>Whether an array library explicitly checks whether an input array is Hermitian or a symmetric matrix (or a stack of matrices) is implementation-defined.</p>
 </div>
 <dl class="field-list simple">
 <dt class="field-odd">Parameters<span class="colon">:</span></dt>