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<rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>How Accurate is inv(A)*b? · HackerPapers discussions</title><link>https://hackerpaper.kaipfister.de/p/1201.6035/</link><description>Collected HN comments and submissions linking this paper.</description><language>en</language><lastBuildDate>Mon, 02 Nov 2026 11:16:22 GMT</lastBuildDate><atom:link href="https://hackerpaper.kaipfister.de/p/1201.6035/feed.xml" rel="self" type="application/rss+xml" /><item><title>How Accurate is inv(A)*b? — mentioned by IngoBlechschmid</title><link>https://news.ycombinator.com/item?id=11686786</link><guid isPermaLink="false">urn:hackerpapers:mention:1201.6035:11686786</guid><pubDate>Thu, 12 May 2016 21:05:38 GMT</pubDate><description>&lt;p&gt;That article is quite right regarding the take-home message to try to avoid inverting a matrix when other, more direct methods for solving the particular problem at hand exist. On page 2 of http://www.ti3.tuhh.de/paper/rump/Ru08a.pdf there is an innocent-looking matrix for which the numerically computed inverse is off from the true inverse by 47 orders of magnitude. However, one of the reasons he&amp;#x27;s given is not correct: Druinsky and Toledo have shown (http://arxiv.org/abs/1201.6035) that -- despite the very widespread belief to the contrary -- solving a linear system be calculating the…&lt;/p&gt;&lt;p&gt;&lt;a href="https://hackerpaper.kaipfister.de/p/1201.6035/"&gt;Paper and discussion history&lt;/a&gt;. A mention is not an endorsement.&lt;/p&gt;</description><category>math.NA</category></item></channel></rss>
