papers

Publications (7)

math.NA2025

Efficient Computation of Dominant Eigenvalues Using Adaptive Block Lanczos with Chebyshev Filtering

M. El Guide, K. Jbilou, K. Lachhab

We present an efficient method for computing dominant eigenvalues of large, nonsymmetric, diagonalizable matrices based on an adaptive block Lanczos algorithm combined with Chebysh…

math.NA2024

Tensor Krylov subspace methods via the T-product for large Sylvester tensor equations

F. Bouyghf, M. El Guide, A. El Ichi

In the present paper, we introduce new tensor krylov subspace methods for solving large Sylvester tensor equations. The proposed method uses the well-known T-product for tensors an…

math.NA2020

Tensor GMRES and Golub-Kahan Bidiagonalization methods via the Einstein product with applications to image and video processing

M. El Guide, A. El Ichi, F. P. A Beik +1

In the present paper, we are interested in developing iterative Krylov subspace methods in tensor structure to solve a class of multilinear systems via Einstein product. In particu…

math.NA2018

A generalized matrix Krylov subspace method for TV regularization

A. Bentbib, M. El Guide, K. Jbilou

This paper presents an efficient algorithm to solve total variation (TV) regularizations of images contaminated by a both blur and noise. The unconstrained structure of the problem…

math.NA2021

Discrete cosine transform LSQR and GMRES methods for multidimensional ill-posed problems

M. El Guide, A. El Ichi, K. Jbilou

In the present work, we propose new tensor Krylov subspace method for ill posed linear tensor problems such as in color or video image restoration. Those methods are based on the t…

math.NA2021

RBF approximation of three dimensional PDEs using Tensor Krylov subspace methods

M. El Guide, K. Jbilou, A. Ratnani

In this paper, we propose different algorithms for the solution of a tensor linear discrete ill-posed problem arising in the application of the meshless method for solving PDEs in…

math.NA2020

Tensor Krylov subspace methods via the T-product for color image processing

M. El Guide, A. El Ichi, K. Jbilou +1

The present paper is concerned with developing tensor iterative Krylov subspace methods to solve large multi-linear tensor equations. We use the well-known T-product for two tensor…