google-deepmind / google-deepmind/formal-conjectures

Crouzeix's conjecture

Open
#1,762 0 comments 1 reaction 0 assignees View on GitHub
new conjecture
Dominant language
Lean
Stars
1.3k
Forks
485
Avg merge
2d 4h
Merged PRs (30d)
363

Description

### What is the conjecture
A conjecture in matrix analysis.

Source: https://en.wikipedia.org/wiki/Crouzeix%27s_conjecture

### Prerequisites needed
Would need API for $W(A)$, the field of values of the (complex) matrix A.

### [AMS categories](https://github.com/google-deepmind/formal-conjectures/labels?q=ams-)

* ams-15

### Choose either option
- [ ] I plan on adding this conjecture to the repository
- [x] This issue is up for grabs: I would like to see this conjecture added by somebody else

Contributor guide

Open the contributing guide

Research direction

Start with the linked Wikipedia description of Crouzeix's conjecture and review the repository's existing formalized conjectures in matrix analysis. Determine the required API for W(A), the field of values of a complex matrix, then formalize and add the conjecture to the repository; done means the statement is accepted by Lean.

Written by the indexing model from the issue text.

Assessment

Domain
tooling
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
35/100

Get new issues in your inbox

A short digest of beginner-friendly GitHub issues.