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math.NA2024

Multidimensional extrapolated global proximal gradient and applications for image processing

Abdeslem Hafid Bentbib, Khalide Jbilou, Ridwane Tahiri

The proximal gradient method is a generic technique introduced to tackle the non-smoothness in optimization problems, wherein the objective function is expressed as the sum of a di…

math.NA2024

Extended block Hessenberg process for the evaluation of matrix functions

A. H. Bentbib, M. EL Ghomari, K. Jbilou +1

In the present paper, we propose a block variant of the extended Hessenberg process for computing approximations of matrix functions and other problems producing large-scale matric…

math.NA2023

Einstien-Multidimensional Extrapolation methods

A. H. Bentbib, K. Jbilou, R. Tahiri

In this paper, we present a new framework for the recent multidimensional extrapolation methods: Tensor Global Minimal Polynomial (TG-MPE) and Tensor Global Reduced Rank Extrapolat…

math.NA2023

Tensor Golub Kahan based on Einstein product

Anas El Hachimi, Khalide Jbilou, Mustapha Hached +1

The Singular Value Decomposition (SVD) of matrices is a widely used tool in scientific computing. In many applications of machine learning, data analysis, signal and image processi…

math.NA2023

A Rational Krylov Subspace Method for the Computation of the Matrix Exponential Operator

H. Barkouki, A. H. Bentbib, K. Jbilou

The computation of approximating e^tA B, where A is a large sparse matrix and B is a rectangular matrix, serves as a crucial element in numerous scientific and engineering calculat…

math.NA2023

A tensor bidiagonalization method for higher-order singular value decomposition with applications

Anas El Hachimi, Khalide Jbilou, Ahmed Ratnani +1

The need to know a few singular triplets associated with the largest singular values of third-order tensors arises in data compression and extraction. This paper describes a new me…