This repository contains codes from the field of Computational Mathematics, corresponding to scientific publications.
- 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] - PIILUS - Parallel Improved Incomplete LUS Factorization (
$$PIILUS(\epsilon,p,w)$$ ) [4] - PCIILUS - Parallel Combined Improved Incomplete LUS Factorization (
$$PCIILUS(\epsilon,\eta,p,w)$$ ) [4]
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.
[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.
[4] C. K. Filelis - Papadopoulos (2026). Parallel Incomplete LUS Factorization. To Be Submitted.