When simulating a mechanism from science or engineering, or an industrial process, one is
frequently required to construct a mathematical model, and then resolve this model …

The efficient utilization of mixed-precision numerical linear algebra algorithms can offer
attractive acceleration to scientific computing applications. Especially with the hardware …

In this article, we present Ginkgo, a modern C++ math library for scientific high performance
computing. While classical linear algebra libraries act on matrix and vector objects, Ginkgo's …

Large sparse linear systems of equations are ubiquitous in science, engineering and
beyond. This open access monograph focuses on factorization algorithms for solving such …

When using incomplete factorization preconditioners with an iterative method to solve large
sparse linear systems, each application of the preconditioner involves solving two sparse …

The sparse triangular solve kernels, SpTRSV and SpTRSM, are important building blocks for
a number of numerical linear algebra routines. Parallelizing SpTRSV and SpTRSM on …

Ginkgo is a production-ready sparse linear algebra library for high performance computing
on GPU-centric architectures with a high level of performance portability and focuses on …

With the commercial availability of mixed precision hardware, mixed precision GMRES-
based iterative refinement schemes have emerged as popular approaches for solving …

Krylov methods provide a fast and highly parallel numerical tool for the iterative solution of
many large-scale sparse linear systems. To a large extent, the performance of practical …

A Journey through the History of Numerical Linear Algebra: Back Matter Page 1 Bibliography
[1] A. Abdelfattah, H. Anzt, A. Bouteiller, A. Danalis, JJ Dongarra, M. Gates, A. Haidar, J. Kurzak …