With the ubiquity of multicore processors, it is crucial that solvers adapt to the hierarchical
structure of modern architectures. We present ShyLU, a “hybrid-hybrid” solver for general …

This paper discusses techniques for computing a few selected eigenvalue–eigenvector
pairs of large and sparse symmetric matrices. A recently developed class of techniques to …

In this paper, an efficient numerical procedure is proposed, which is adapted to the modal
analysis of a fully-loaded spent nuclear fuel canister exhibiting distinct structural levels …

This paper presents a new hybrid solver based on Schur complement method, in which
computations are distributed between multiple CPUs and GPUs. In this solver, the Schur …

This paper introduces a factor-solve method that efficiently computes Thévenin equivalents
for all buses in the power system. A range of real-time stability assessment methods relies …

We consider the parallel iterative solution of indefinite linear systems given as augmented
systems. Our numerical technique is based on an algebraic non-overlapping domain …

Solving sparse linear systems is a problem that arises in many scientific applications, and
sparse direct solvers are a time consuming and key kernel for those applications and for …

This dissertation focuses on the design, implementation, and evaluation of domain
decomposition techniques for the solution of large and sparse algebraic symmetric …

В работе рассмотрен параллельный алгоритм вычисления дополнения Шура.
Эффективное применение нескольких графических ускорителей для метода …

The block Cimmino is a parallel hybrid row-block projection iterative method successfully
used for solving general sparse linear systems. However, the convergence of the method …