In McDonald, Pestana, and Wathen, SIAM J. Sci. Comput., 40 (2018), pp. A1012--A1033, a
block circulant preconditioner is proposed for all-at-once linear systems arising from …

McDonald, Pestana and Wathen (SIAM J. Sci. Comput. 40 (2), pp. A2012-A1033, 2018)
present a method for preconditioning of time-dependent PDEs via approximation by a …

In this work, we propose a simple yet generic preconditioned Krylov subspace method for a
large class of nonsymmetric block Toeplitz all-at-once systems arising from discretizing …

In this work, we propose an absolute value block $\alpha $-circulant preconditioner for the
minimal residual (MINRES) method to solve an all-at-once system arising from the …

In this study, a novel preconditioner based on the absolute-value block α-circulant matrix
approximation is developed, specifically designed for nonsymmetric dense block lower …

The multigrid-reduction-in-time (MGRIT) algorithm is an efficient parallel-in-time algorithm for
solving dynamic problems. The goal of this paper is to accelerate this algorithm via two …

Circulant preconditioning for symmetric Toeplitz systems has been well developed over the
past few decades. For a large class of such systems, descriptive bounds on convergence for …

The solution of matrices with a 2*2 block structure arises in numerous areas of
computational mathematics, such as PDE discretizations based on mixed-finite element …

In this paper, we generalize a fast Fourier transforms (FFTs) based preconditioner and
propose a novel α-absolute value preconditioner for all-at-once systems from heat …

In this work, we propose a preconditioned minimal residual (MINRES) method for a class of
non-Hermitian block Toeplitz systems. Namely, considering an m n-by-m n non-Hermitian …