JuliaLang / JuliaLang/LinearAlgebra.jl

qr factorisation method for nullspace

Open
#855 1 comment 0 reactions 0 assignees View on GitHub
feature
Dominant language
Julia
Stars
77
Forks
65
Avg merge
3d 23h
Merged PRs (30d)
10

Description

I've opened this feature request based off the back of a thread on slack with @andreasnoack . Since QR is not as reliable as SVD in determining the rank, we could have an additional kwarg where the user provides an expected dimension of the nullspace. Roughly
```julia
function nullspace(A::AbstractMatrix; nullity::Int=0, kwargs...)

if iszero(nullity) # default to SVD
return nullspace(A;kwargs...)

else
return qr(A').Q[:,end+1-nullity:end]
end
end
```
A small test
```julia
A = randn(3)randn(3)'
nullity = 2 # expected nullity

A*nullspace(A)
A*qr(A').Q[:,end+1-nullity:end]
```

Contributor guide

No contributing guide indexed for this repository

Research direction

Start by reading the existing nullspace and qr entry points, then run the supplied randn example to compare the SVD-based and QR-based results. Done means nullspace accepts an expected nullity, uses the QR-based basis when provided, preserves the default behavior otherwise, and has a small test for the result.

Written by the indexing model from the issue text.

Assessment

Tech stack
julia
Domain
hpc
Issue type
Feature
Difficulty
4/5
Estimated time
3-5 days
Activity status
Stale
Clarity
Mostly clear
Newbie friendliness
35/100

Get new issues in your inbox

A short digest of beginner-friendly GitHub issues.