The recent version of the Parallel Linear Algebra Software for Multicore Architectures
(PLASMA) library is based on tasks with dependencies from the OpenMP standard. The …

PLASMA is a numerical library intended as a successor to LAPACK for solving problems in
dense linear algebra on multicore processors. PLASMA relies on the QUARK scheduler for …

Multicore architectures with high core counts have come to dominate the world of high
performance computing, from shared memory machines to the largest distributed memory …

The LU factorization is an important numerical algorithm for solving systems of linear
equations in science and engineering and is a characteristic of many dense linear algebra …

Present trends in high performance computing present formidable challenges for
applications code using multicore nodes possibly with accelerators and/or co-processors …

The enormous gap between the high-performance capabilities of today's CPUs and off-chip
communication poses extreme challenges to the development of numerical software that is …

The sparse triangular solve (SpTRSV) kernel is an important building block for a number of
linear algebra routines such as sparse direct and iterative solvers. The major challenge of …

LU factorization with partial pivoting is a canonical numerical procedure and the main
component of the high performance LINPACK benchmark. This paper presents an …

While the first two involve fundamental physical limitations that current technology trends are
unlikely to overcome in the near term, the third is an obvious consequence of the first two …

The goal of this paper is to present an efficient implementation of an explicit matrix inversion
of general square matrices on multicore computer architecture. The inversion procedure is …