5 papers
Randomized Tensor Krylov Subspace Methods via Sketched Einstein Product with Applications to Image and Video Restoration
Achraf Badahmane
We develop a randomized extension of tensor Krylov subspace methods based on the Einstein product for solving large-scale multilinear systems arising in image and video restoration…
A randomized global GMRES method for matrix equations
Achraf Badahmane, Issa Ezzagouri, Xian-Ming GU
In this paper, we develop a new Randomized Global Generalized Minimum Residual (RGlGMRES) algorithm for efficiently computing solutions to large scale linear systems with multiple…
A new class of regularized preconditioners for double saddle-point problems
Achraf Badahmane
The block structure of double saddle-point problems has prompted extensive research into efficient preconditioners. This paper introduces a novel class of three-by-three block prec…
Novel Approach for solving the discrete Stokes problems based on Augmented Lagrangian and Global Techniques: Application to Saddle-Point Linear Systems from Incompressible flow
A. Badahmane, A. Ratnani, H. Sadok
In this paper, a novel augmented Lagrangian preconditioner based on global Arnoldi for accelerating the convergence of Krylov subspace methods applied to linear systems of equation…
New preconditioner strategy for solving block four-by-four linear systems: An application to the saddle-point problem from 3D Stokes equation
Achraf Badahmane, Ahmed Ratnani, Hassane Sadok
We have presented a fast method for solving a specific type of block four-by-four saddlepoint problem arising from the finite element discretization of the generalized 3D Stokes pr…