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Computational Mathematics Software

This repository contains codes from the field of Computational Mathematics, corresponding to scientific publications.

Preconditioning

  • AFIIM - Adaptive Factored Incomplete Inverse Matrix with robust filtering ($$\alpha FIIM (\epsilon)$$) [1]
  • PDFIIM - Parallel Dynamic Factored Incomplete Inverse Matrix $$(PDFIIM(k,\ell,m,\epsilon))$$ [2]
  • ACIFIM - Adaptive Combined Incomplete Factorization and Inverse Matrix ($$\alpha CIFIM(\epsilon_1,\epsilon_2)$$) [3]

Important Note

All software depending on Intel MKL may present differences in results for different MKL versions. Moreover, differences may occur also when the software is executed in different hardware.

References

[1] C. K. Filelis - Papadopoulos (2024). Adaptive Factored Incomplete Inverse Matrices. Numerical Linear Algebra Appl, 32: e2603. https://doi.org/10.1002/nla.2603.

[2] C. K. Filelis - Papadopoulos and G. A. Gravvanis (2025). Parallel sparsity patterns for factored incomplete inverse matrices, Journal of Computational Science, Volume 93, 2026, 102736, ISSN 1877-7503. https://doi.org/10.1016/j.jocs.2025.102736.

[3] C. K. Filelis - Papadopoulos (2026). Adaptive Combined Incomplete Factorization and Inverse Matrices. Submitted.

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Computational Mathematics codes stemming from my research work!!!

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