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There are a number of bijective matrix factorizations that it might make sense to include here, e.g.
- unique QR (usual QR but constraining the diagonal of R to be positive)
- unique SVD: usual SVD …
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Some other matrix factorisations to consider for implementation in the future:
https://nhigham.com/2022/05/18/the-big-six-matrix-factorizations/
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Consider this matrix:
```julia
F = [42491.1429254459 1.0544416413649244e6 64.9016820609457 1712.2779951809016; 1.0544416413649244e6 2.616823794441869e7 1610.468694700484 42488.422800411565; 64.901…
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Hi!
My goal is to use the `SparseCSCInterface` to get LU factorizations that solve both systems with single and multiple right-hand sides.
The documentation claims that the API supports multiple…
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[faer](https://faer-rs.github.io/), a pure Rust library for performant low-level linear algebra spearheaded by @sarah-ek, provides dense matrix factorizations with [remarkable performance](https://git…
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Implement non-negative matrix factorizations (like those used in https://arxiv.org/abs/1703.00365) to do non-negative MPS/MPO evolution and tomography.
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I'm trying to get more libraries using the LinearSolve.jl interface
http://linearsolve.sciml.ai/dev/
It's pretty complete now. The suggested form is that you use the caching interface so that i…
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Just like LU in JuliaSparse/SparseArrays.jl#131, we also need these:
- [ ] cholesky(a')
- [ ] ldlt(a')
- [ ] det(a')
- [ ] inv(a')
- [ ] qr(a') works, but we should verify it is not taking a sl…
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I'm thinking of starting a repository JuliaMatrices/MatrixFactorizations.jl to contain matrix factorizations not included in StdLib/LinearAlgebra.jl. In particular I need a `QL` factorization.
Goog…
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This came up while trying to use an implicit solver with OrdinaryDiffEq.
A simple reproducible example:
```julia
julia> using BlockArrays, LinearAlgebra
julia> x = BlockArray(rand(3))
1-block…