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A simpler and more efficient fixed point iterative scheme

https://arxiv.org/abs/2601.05731
2•7777777phil•1h ago

Comments

magicalhippo•47m ago
Reminds me of Runge-Kutta methods[1] of numerical integration, specifically RK2 since they only have one intermediary update.

The theorems took me right back to my finite element methods class at university, with Banach spaces and proving convergence of fixed point functions using Cauchy sequences.

Hopefully someone more well-versed in the field can chime in on the meat of the paper, looks like a good win from afar.

[1]: https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods

Age of Invention: Tudor Trade War

https://www.ageofinvention.xyz/p/age-of-invention-tudor-trade-war
1•Khaine•30s ago•0 comments

I have an idea I wanted to share with you all

1•prassamin•1m ago•0 comments

Show HN: Flash.nvim, but for Tmux Sort Of

https://github.com/Kristijan/flash-copy.tmux
1•KristijanM13•2m ago•0 comments

Newly discovered coffee compounds beat diabetes drug in lab tests

https://www.sciencedaily.com/releases/2026/01/260110211224.htm
1•ashishgupta2209•2m ago•0 comments

AI, Japanese chimpanzee who counted and painted dies at 49

https://www.bbc.com/news/articles/cj9r3zl2ywyo
1•reconnecting•4m ago•0 comments

Humans Have Accidentally Created a Barrier Around the Earth

https://www.iflscience.com/humans-have-accidentally-created-a-barrier-around-the-earth-81973
1•akg130522•4m ago•0 comments

NotebookLM Watermark Remover – Remove Watermark from PDF

https://geminiwatermarkremover.net/
1•AI_kid1412•4m ago•0 comments

Video Message from Federal Reserve Chair Jerome H. Powell

https://twitter.com/federalreserve/status/2010510130970849338
1•baxtr•5m ago•0 comments

The Simpler Things in Life [video]

https://www.youtube.com/watch?v=els71JSBIaY
1•genderdoog•6m ago•0 comments

Linux Market Share Remains Above 3% for 3 Months in a Row – January 2026 Report

https://itsfoss.com/linux-market-share/
2•mindracer•8m ago•0 comments

One Thousand Words

https://drewmayo.com/1000-words/index.html
1•todsacerdoti•11m ago•0 comments

iFixit The Worst Devices of CES 2026 [video]

https://www.youtube.com/watch?v=cxZgILm95BU
1•levanten•12m ago•0 comments

Anthropic brings Claude to healthcare with HIPAA-ready Enterprise tools

https://www.bleepingcomputer.com/news/artificial-intelligence/anthropic-brings-claude-to-healthca...
1•fleahunter•12m ago•0 comments

Select text and search with your preferred engine or AI, all in one click

https://chromewebstore.google.com/detail/onering-select-and-search/fjpigicmicdmlmhmkilknomjkkipgafk
1•nanxiaobei•20m ago•0 comments

Jerome Powell's being threatened [video]

https://www.youtube.com/watch?v=RFTGjDR72i4
1•chii•21m ago•0 comments

Why is it so hard to do the thing I claim to want?

https://seekingtrust.substack.com/p/why-is-it-so-hard-to-do-what-i-claim
1•FinnLobsien•24m ago•0 comments

A field guide to sandboxes for AI

https://www.luiscardoso.dev/blog/sandboxes-for-ai
1•saikatsg•31m ago•0 comments

Scope: Hierarchical planner beats LLMs, 55x faster, 1/160k size

https://skyfall.ai/blog/scope-hierarchical-planner-55x-faster-than-llms
1•GeorgeOldfield•34m ago•0 comments

Revit AI Render: Faster AI Rendering for Architects

https://vocus.cc/article/6964af54fd897800012db1b1
1•architech_willy•37m ago•0 comments

You Need to Yearn More

https://twitter.com/justalexoki/status/2010380526402900028
1•keepamovin•37m ago•0 comments

Show HN: Self-hosted micro-learning platform with Full featured (Django/SolidJS)

https://github.com/cobel1024/minima
1•pigon1002•38m ago•1 comments

What Accenture's acquisition of Faculty means for AI enablement services

https://www.aienablementinsider.com/p/what-accenture-s-acquisition-of-faculty-ai-means-for-ai-ena...
1•dylancollins•39m ago•0 comments

Ask HN: What business processes still waste time every week?

1•lzr_mihnea•42m ago•0 comments

Show HN: AIIM – platform to build AI agents with psychological depth

https://ai-im.tech
1•juliavvrn•43m ago•0 comments

AI industry insiders launch site to poison the data that feeds them

https://www.theregister.com/2026/01/11/industry_insiders_seek_to_poison/
3•50kIters•51m ago•0 comments

AGI Next Frontier Summit in Beijing (260110)

https://haebom.dev/archive?tl=en&post=d367nxm38w8xv2j98pv1
2•haebom•56m ago•0 comments

Writing a Program in Par [video]

https://www.youtube.com/watch?v=nU7Lt6k3lNQ
2•razodactyl•58m ago•0 comments

Show HN: GAM7 Companion – macOS app that automates Google Workspace admin

https://github.com/halcarrell/gamgui-releases
1•stormer72•1h ago•0 comments

Show HN: I built a keyword tool that finds terms traditional tools miss

https://brightkeyword.com/
1•nyku•1h ago•1 comments

UpgradeLink – An Open-Source All-in-One Cross-Platform App Upgrade System

1•toolsetlink•1h ago•0 comments