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krylov-methods

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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.

  • Updated Sep 11, 2026
  • Julia

A graduate numerical analysis course built as a runnable repository. 98 lessons in 14 parts, from binary numbers to Krylov eigensolvers, multigrid, randomized SVD and automatic differentiation. Every lesson is a notebook and a page to read, with from scratch code checked against SciPy, exercises at five levels and worked solutions.

  • Updated Sep 9, 2026
  • Jupyter Notebook

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