<?xml version="1.0" encoding="UTF-8"?>
<rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>The AAA algorithm for rational approximation · HackerPapers discussions</title><link>https://hackerpaper.kaipfister.de/p/1612.00337/</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/1612.00337/feed.xml" rel="self" type="application/rss+xml" /><item><title>The AAA algorithm for rational approximation — mentioned by jacobolus</title><link>https://news.ycombinator.com/item?id=28933204</link><guid isPermaLink="false">urn:hackerpapers:mention:1612.00337:28933204</guid><pubDate>Wed, 20 Oct 2021 17:11:58 GMT</pubDate><description>&lt;p&gt;You implemented the wrong formula. You don’t want to explicitly calculate &amp;quot;node poly&amp;quot;. The formula you want is the “second barycentric formula”, (4.2) at the top of page 505 of https://people.maths.ox.ac.uk/trefethen/barycentric.pdf Or formula (2.6) halfway down page 2 of https://people.maths.ox.ac.uk/trefethen/publication/PDF/2011... Also cf. Higham (2004) “The numerical stability of barycentric Lagrange interpolation” https://www.maths.manchester.ac.uk/~higham/narep/narep440.pd... If you want to implement the “first barycentric formula” instead you need to take some additional care to avoid…&lt;/p&gt;&lt;p&gt;&lt;a href="https://hackerpaper.kaipfister.de/p/1612.00337/"&gt;Paper and discussion history&lt;/a&gt;. A mention is not an endorsement.&lt;/p&gt;</description><category>math.NA</category></item><item><title>The AAA algorithm for rational approximation — mentioned by jacobolus</title><link>https://news.ycombinator.com/item?id=28213834</link><guid isPermaLink="false">urn:hackerpapers:mention:1612.00337:28213834</guid><pubDate>Tue, 17 Aug 2021 19:28:27 GMT</pubDate><description>&lt;p&gt;If you like Padé approximants, have you been following Trefethen &amp;amp; al.’s recent work on the &amp;quot;AAA&amp;quot; algorithm etc.? https://arxiv.org/pdf/1612.00337.pdf https://arxiv.org/pdf/1705.10132.pdf See also the lecture https://www.youtube.com/watch?v=S1upJPMIFfg&lt;/p&gt;&lt;p&gt;&lt;a href="https://hackerpaper.kaipfister.de/p/1612.00337/"&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>
