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Author: colinjcotter

Computationallinearalgebracourse.pdf

@@ -155,7 +155,7 @@ <h2><span class="section-number">2.2. </span>QR factorisation by classical Gram-
 <p>with <span class="math notranslate nohighlight">\((q_1,q_2,\ldots,q_n)\)</span> an orthonormal set. The non-diagonal
 entries of <span class="math notranslate nohighlight">\(R\)</span> are found by inner products, i.e.,</p>
 <div class="math notranslate nohighlight">
-\[r_{ij} = q_i^*a_j, \, i &gt; j,\]</div>
+\[r_{ij} = q_i^*a_j, \, i &lt; j,\]</div>
 <p>and the diagonal entries are chosen so that <span class="math notranslate nohighlight">\(\|q_i\|=1\)</span>, for
 <span class="math notranslate nohighlight">\(i=1,2,\ldots,n\)</span>, i.e.</p>
 <div class="math notranslate nohighlight">

L2_QR_factorisation.html

@@ -125,7 +125,7 @@ entries of `R` are found by inner products, i.e.,
 
 .. math::
 
-   r_{ij} = q_i^*a_j, \, i > j,
+   r_{ij} = q_i^*a_j, \, i < j,
 
 and the diagonal entries are chosen so that `\|q_i\|=1`, for
 `i=1,2,\ldots,n`, i.e.

_sources/L2_QR_factorisation.rst.txt

@@ -15,3 +15,5 @@ repositories for Autumn 2021. An up to date version is in the
 
 2. The skeleton code for exercises2.GS_classical was amended as the
    function should just return R, not Q and R.
+
+3. Updated the sign of the inequality in the formula for $r$ in Section 2.2.

_sources/errata.rst.txt

@@ -59,6 +59,7 @@ <h1>Errata for 2021/22<a class="headerlink" href="#errata-for-2021-22" title="Pe
 version.</p></li>
 <li><p>The skeleton code for exercises2.GS_classical was amended as the
 function should just return R, not Q and R.</p></li>
+<li><p>Updated the sign of the inequality in the formula for $r$ in Section 2.2.</p></li>
 </ol>
 </section>