activity
20142026
most citedEfficient Exascale Discretizations: High-Order Finite Element Methods

66 citations · 93 across the 7 of their papers we have counts for

collaborators

8 papers

cs.MS2026

An Efficient Batch Solver for the Singular Value Decomposition on GPUs

Ahmad Abdelfattah, Massimiliano Fasi

The singular value decomposition (SVD) is a powerful tool in modern numerical linear algebra, which underpins computational methods such as principal component analysis (PCA), low-…

math.NA2025

Analysis of Floating-Point Matrix Multiplication Computed via Integer Arithmetic

Ahmad Abdelfattah, Jack Dongarra, Massimiliano Fasi +2

Ootomo, Ozaki, and Yokota [Int. J. High Perform. Comput. Appl., 38 (2024), p. 297-313] have proposed a strategy to recast a floating-point matrix multiplication in terms of integer…

cs.MS2024

Interface for Sparse Linear Algebra Operations

Ahmad Abdelfattah, Willow Ahrens, Hartwig Anzt +32

The standardization of an interface for dense linear algebra operations in the BLAS standard has enabled interoperability between different linear algebra libraries, thereby boosti…

cs.CV2021

GPU-Based Homotopy Continuation for Minimal Problems in Computer Vision

Chiang-Heng Chien, Hongyi Fan, Ahmad Abdelfattah +3

Systems of polynomial equations arise frequently in computer vision, especially in multiview geometry problems. Traditional methods for solving these systems typically aim to elimi…

cs.DC2021

GPU Algorithms for Efficient Exascale Discretizations

Ahmad Abdelfattah, Valeria Barra, Natalie Beams +24

In this paper we describe the research and development activities in the Center for Efficient Exascale Discretization within the US Exascale Computing Project, targeting state-of-t…

cs.DC2021★ 66 cited

Efficient Exascale Discretizations: High-Order Finite Element Methods

Tzanio Kolev, Paul Fischer, Misun Min +27

Efficient exploitation of exascale architectures requires rethinking of the numerical algorithms used in many large-scale applications. These architectures favor algorithms that ex…

cs.MS2020★ 24 cited

A Survey of Numerical Methods Utilizing Mixed Precision Arithmetic

Ahmad Abdelfattah, Hartwig Anzt, Erik G. Boman +22

Within the past years, hardware vendors have started designing low precision special function units in response to the demand of the Machine Learning community and their demand for…

cs.MS2014★ 3 cited

KBLAS: An Optimized Library for Dense Matrix-Vector Multiplication on GPU Accelerators

Ahmad Abdelfattah, David Keyes, Hatem Ltaief

KBLAS is a new open source high performance library that provides optimized kernels for a subset of Level 2 BLAS functionalities on CUDA-enabled GPUs. Since performance of dense ma…