By J. Douglas, Jr., R. B. Kellogg, and R. S. Varga We consider the iterative solution of the system of linear equations (1 ) (Xi + X-, + • ■ ■ + Xn)z = /, n 2; 2, where each Xj, 1 | j | n, is a Hermitian and positive definite N X N matrix. If n = 2, the iterative methods of Peaceman-Rachford [1, Chapter 7], or D'yakonov [2] and Kellogg [3], may be used to solve (1). In this paper these methods ...

Splitting schemes are a class of powerful algorithms that solve complicated monotone inclusion and convex optimization problems that are built from many simpler pieces. They give rise to algorithms in which the simple pieces of the decomposition are processed individually. This leads to easily implementable and highly parallelizable algorithms, which often obtain nearly state-of-the-art perform...

A generalized Peaceman-Rachford (P-R) ADI form based on the regularized finite difference scheme is employed in order to study the interactions of two co-propagating laser beams in underdense plasmas. A numerical algorithm using the P-R ADI form is constructed for solution of coupled 2D time-dependent non-linear Shrödinger equations for quasineutral plasmas in paraxial approximation. The abilit...

Objective(s)Identify current pharmacy residents’ level of distress, likelihood burnout, severe fatigue, suicidal ideation, meaning in work, satisfaction with work-life balance, and overall quality life.MethodsA cross-sectional survey, conducted between February 1, 2020 March 31, 2020. The pharmacist Well-Being Index (WBI) was used to collect data from first- second-year resident participants. A...