https://www.chenk.top/zh/tags/image-compression/Recent content in Image Compression on Chen Kai BlogHugozh-CNWed, 26 Feb 2025 09:00:00 +0000https://www.chenk.top/zh/linear-algebra/09-%E5%A5%87%E5%BC%82%E5%80%BC%E5%88%86%E8%A7%A3svd/Wed, 26 Feb 2025 09:00:00 +0000https://www.chenk.top/zh/linear-algebra/09-%E5%A5%87%E5%BC%82%E5%80%BC%E5%88%86%E8%A7%A3svd/<h2 id="一为什么-svd-配得上皇冠二字" class="heading-anchor">一、为什么 SVD 配得上“皇冠”二字<a href="#%e4%b8%80%e4%b8%ba%e4%bb%80%e4%b9%88-svd-%e9%85%8d%e5%be%97%e4%b8%8a%e7%9a%87%e5%86%a0%e4%ba%8c%e5%ad%97" class="heading-link" aria-label="Permalink to this section" title="Copy link to this section">#</a> </h2><p><a href="https://www.chenk.top/zh/linear-algebra/08-%e5%af%b9%e7%a7%b0%e7%9f%a9%e9%98%b5%e4%b8%8e%e4%ba%8c%e6%ac%a1%e5%9e%8b/">第 8 章</a> 的谱定理给出了 <span class="math-inline">$A = Q\Lambda Q^{\!\top}$</span> ，形式简洁优美，但有个硬性限制：<strong>仅适用于对称矩阵</strong>。而现实中遇到的矩阵大多不对称，甚至根本不是方阵：</p>