There are 2 repositories under krylov topic.
A Julia Basket of Hand-Picked Krylov Methods
Krylov methods for linear problems, eigenvalues, singular values and matrix functions
Fast and differentiable implementations of matrix exponentials, Krylov exponential matrix-vector multiplications ("expmv"), KIOPS, ExpoKit functions, and more. All your exponential needs in SciML form.
General, high performance algebraic multigrid solver
A set of useful algebraic preconditioners for iterative numerical linear-algebraic methods.
3D acoustic wave propagation in homogeneous isotropic media using PETSc and Krylov space method
Python reference implementation of the Newton propagator for quantum dynamics
Structured additive regression using iterative methods
Time-evolution of a wavefunction using a Krylov subspace expansion
Parallel GMRES for solving sparse linear systems
A collection of Krylov Subspace-Based Adaptive Solvers (KrySBAS) written in MATLAB
Benchmarking Distributed Inexact Policy Iteration for Large-Scale Markov Decision Processes