11 citations · 12 across the 9 of their papers we have counts for
9 papers
On the invertibility of matrices with a double saddle-point structure
Fatemeh P. A. Beik, Chen Greif, Manfred Trummer
We establish necessary and sufficient conditions for invertibility of symmetric three-by-three block matrices having a double saddle-point structure \fb{that guarantee the unique s…
An augmented Lagrangian-based preconditioning technique for a class of block three-by-three linear systems
Fatemeh P. A. Beik, Michele Benzi
We propose an augmented Lagrangian-based preconditioner to accelerate the convergence of Krylov subspace methods applied to linear systems of equations with a block three-by-three…
On the tubular eigenvalues of third-order tensors
Fatemeh P. A. Beik, Yousef Saad
This paper introduces the notion of tubular eigenvalues of third-order tensors with respect to T-products of tensors and analyzes their properties. A focus of the paper is to discu…
Accelerating iterative solvers via a two-dimensional minimum residual technique
Fatemeh P. A. Beik, Michele Benzi, Mehdi Najafi-Kalyani
This paper deals with speeding up the convergence of a class of two-step iterative methods for solving linear systems of equations. To implement the acceleration technique, the res…
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…
Tensor extrapolation methods with applications
F. P. A. Beik, A. El Ichi, K. Jbilou +1
In this paper, we mainly develop the well-known vector and matrix polynomial extrapolation methods in tensor framework. To this end, some new products between tensors are defined a…
On the preconditioning of three-by-three block saddle point problems
Hamed Aslani, Davod Khojasteh Salkuyeh, Fatemeh Panjeh Ali Beik
We establish a new iterative method for solving a class of large and sparse linear systems of equations with three-by-three block coefficient matrices having saddle point structure…
On the Golub--Kahan bidiagonalization for ill-posed tensor equations with applications to color image restoration
Fatemeh P. A. Beik, Khalide Jbilou, Mehdi Najafi-Kalyani +1
This paper is concerned with solving ill-posed tensor linear equations. These kinds of equations may appear from finite difference discretization of high-dimensional convection-dif…
On the preconditioned AOR iterative method for Z-matrices
Davod Khojasteh Salkuyeh, Mohsen Hasani, Fatemeh Panjeh Ali Beik
Several preconditioned AOR methods have been proposed to solve system of linear equations , where is a unit Z-matrix. The aim of this paper is…