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math.NA2023
Combinatorial and Recurrent Approaches for Efficient Matrix Inversion: Sub-cubic algorithms leveraging Fast Matrix products
Mohamed Kamel Riahi
In this paper, we introduce novel fast matrix inversion algorithms that leverage triangular decomposition and recurrent formalism, incorporating Strassen's fast matrix multiplicati…
math.NA2022
PiTSBiCG: Parallel in Time Stable Bi-Conjugate Gradient Algorithm
Mohamed Kamel Riahi
This paper presents a new algorithm for the parallel in time (PiT) numerical simulation of time dependent partial/ordinary differential equations. We propose a reliable alternative…
math.NA2021
Near-Field Linear Sampling Method forAxisymmetric Eddy Current Tomography
H. Haddar, M. K. Riahi
This paper is concerned with Eddy-Current (EC) nondestructive testing of conductive materials and focuses, in particular, on extending the well-known LinearSampling Method (LSM) to…