# Krylov based lanczos etc for sparse matrices

**URL:** <https://discourse.julialang.org/t/krylov-based-lanczos-etc-for-sparse-matrices/109310>\
**Category:** General Usage\
**Tags:** question, sparse\
**Created:** [January 26, 2024, 4:46pm UTC](https://discourse.julialang.org/t/krylov-based-lanczos-etc-for-sparse-matrices/109310 "2024-01-26T16:46:50Z")\
**Posts on this page:** 3\
**Page:** 1

<div class="post-metadata">

**Author:** ![Enlil50](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/enlil50/32/206539_2.png) [@Enlil50](https://discourse.julialang.org/u/Enlil50)\
**Post date:** [January 26, 2024, 4:46pm UTC](https://discourse.julialang.org/t/krylov-based-lanczos-etc-for-sparse-matrices/109310/1 "2024-01-26T16:46:50Z")

</div>

I found [Home · KrylovKit.jl](https://jutho.github.io/KrylovKit.jl/stable/) and it points to [KrylovMethods.jl/README.md at master · JuliaInv/KrylovMethods.jl · GitHub](https://github.com/JuliaInv/KrylovMethods.jl/blob/master/README.md) for sparse matrices.

However I don’t find any documentation. How can i use it?  
Does it support complex sparse matrices?

---

<div class="post-metadata">

**Author:** ![PetrKryslUCSD](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/petrkryslucsd/32/215825_2.png) [@PetrKryslUCSD](https://discourse.julialang.org/u/PetrKryslUCSD)\
**Post date:** [January 26, 2024, 6:26pm UTC](https://discourse.julialang.org/t/krylov-based-lanczos-etc-for-sparse-matrices/109310/2 "2024-01-26T18:26:11Z")

</div>

[Eigenvalue problems · KrylovKit.jl](https://jutho.github.io/KrylovKit.jl/stable/man/eig/) has examples.

---

<div class="post-metadata">

**Author:** ![Enlil50](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/enlil50/32/206539_2.png) [@Enlil50](https://discourse.julialang.org/u/Enlil50)\
**Post date:** [January 26, 2024, 8:31pm UTC](https://discourse.julialang.org/t/krylov-based-lanczos-etc-for-sparse-matrices/109310/3 "2024-01-26T20:31:34Z")

</div>

Thanks. I didn’t understand well the meaning of abstract matrix (quite new to Julia syntax) and didn’t read well enough to notice that it’s for both sparse and dense.