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Sparse matrix-vector multiplication (SpMV) is crucial in computational science, engineering, and machine learning. Despite substantial efforts to improve SpMV performance on GPUs through various techniques, issues related to data locality,…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Xing Cong , Fukai Sun , Yifan Chen , Chenhao Xie* , Yi Liu , Depei Qian

Sparse Matrix-Vector Multiplication (SpMV) is a critical operation for the iterative solver of Finite Element Methods on computer simulation. Since the SpMV operation is a memory-bound algorithm, the efficiency of data movements heavily…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-15 Chong Chen

Sparse Matrix-Vector Multiplication (SpMV) is the cornerstone in many iterative workloads, including large-scale graph analytics and sparse iterative solvers. Accelerating SpMV on real-world graphs remains challenging due to highly…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-11 Qi Zhang , Zhengan Yao , Zhenglu Jiang , Zan-Bo Zhang

We implement two novel algorithms for sparse-matrix dense-matrix multiplication (SpMM) on the GPU. Our algorithms expect the sparse input in the popular compressed-sparse-row (CSR) format and thus do not require expensive format conversion.…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-13 Carl Yang , Aydin Buluc , John D. Owens

A new format for storing sparse matrices is proposed for efficient sparse matrix-vector (SpMV) product calculation on modern graphics processing units (GPUs). This format extends the standard compressed row storage (CRS) format and can be…

Computational Physics · Physics 2014-04-29 Zbigniew Koza , Maciej Matyka , Sebastian Szkoda , Łukasz Mirosław

Sparse matrix-vector multiplication (SpMV) is a central building block for scientific software and graph applications. Recently, heterogeneous processors composed of different types of cores attracted much attention because of their…

Mathematical Software · Computer Science 2015-09-15 Weifeng Liu , Brian Vinter

Sparse matrix-vector multiplication (SpMV) is one of the most important kernels in high-performance computing (HPC), yet SpMV normally suffers from ill performance on many devices. Due to ill performance, SpMV normally requires special care…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-09 Phillip Allen Lane , Joshua Dennis Booth

In this paper, we propose an optimization selection methodology for the ubiquitous sparse matrix-vector multiplication (SpMV) kernel. We propose two models that attempt to identify the major performance bottleneck of the kernel for every…

Performance · Computer Science 2016-01-12 Athena Elafrou , Georgios Goumas , Nectarios Koziris

Sparse matrix-vector multiplication (SpMV) is an essential linear algebra operation that dominates the computing cost in many scientific applications. Due to providing massive parallelism and high memory bandwidth, GPUs are commonly used to…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-14 Mina Ashoury , Mohammad Loni , Farshad Khunjush , Masoud Daneshtalab

This paper presents a low-overhead optimizer for the ubiquitous sparse matrix-vector multiplication (SpMV) kernel. Architectural diversity among different processors together with structural diversity among different sparse matrices lead to…

Performance · Computer Science 2017-11-16 Athena Elafrou , Georgios Goumas , Nektarios Koziris

We design and develop a work-efficient multithreaded algorithm for sparse matrix-sparse vector multiplication (SpMSpV) where the matrix, the input vector, and the output vector are all sparse. SpMSpV is an important primitive in the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-26 Ariful Azad , Aydin Buluc

Sparse Matrix-Vector multiplication (SpMV) is an essential computational kernel in many application scenarios. Tens of sparse matrix formats and implementations have been proposed to compress the memory storage and speed up SpMV…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-22 Zhen Du , Jiajia Li , Yinshan Wang , Xueqi Li , Guangming Tan , Ninghui Sun

Sparse Matrix-Matrix Multiplication (SpMM) is a fundamental operation in graph computing and analytics. However, the irregularity of real-world graphs poses significant challenges to achieving efficient SpMM operation for graph data on…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-13 Zhonggen Li , Xiangyu Ke , Yifan Zhu , Yunjun Gao , Yaofeng Tu

The multiplication of a sparse matrix with a dense vector (SpMV) is a key component in many numerical schemes and its performance is known to be severely limited by main memory access. Several numerical schemes require the multiplication of…

Numerical Analysis · Mathematics 2023-01-11 Christie L. Alappat , Georg Hager , Olaf Schenk , Gerhard Wellein

Top-K SpMV is a key component of similarity-search on sparse embeddings. This sparse workload does not perform well on general-purpose NUMA systems that employ traditional caching strategies. Instead, modern FPGA accelerator cards have a…

Hardware Architecture · Computer Science 2021-03-09 Alberto Parravicini , Luca Giuseppe Cellamare , Marco Siracusa , Marco Domenico Santambrogio

Sparse matrix-vector multiplication (SpMV) is a fundamental building block for numerous applications. In this paper, we propose CSR5 (Compressed Sparse Row 5), a new storage format, which offers high-throughput SpMV on various platforms…

Mathematical Software · Computer Science 2015-04-13 Weifeng Liu , Brian Vinter

Sparse Matrix-Vector Multiplication (SpMV) is a fundamental operation in the inference of sparse Large Language Models (LLMs). Because existing SpMV methods perform poorly under the low and unstructured sparsity (30-90%) commonly observed…

Machine Learning · Computer Science 2025-11-18 Vladimír Macko , Vladimír Boža

We present a novel, practical approach to speed up sparse matrix-vector multiplication (SpMVM) on GPUs. The novel key idea is to apply lossless entropy coding to further compress the sparse matrix when stored in one of the commonly…

Performance · Computer Science 2026-03-03 Emil Schätzle , Tommaso Pegolotti , Markus Püschel

The sparse matrix-vector (SpMV) multiplication is an important computational kernel, but it is notoriously difficult to execute efficiently. This paper investigates algorithm performance for unstructured sparse matrices, which are more…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-27 Kobe Bergmans , Karl Meerbergen , Raf Vandebril

Sparse matrix-vector multiplication (SpMV) operations are commonly used in various scientific applications. The performance of the SpMV operation often depends on exploiting regularity patterns in the matrix. Various representations have…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-25 Karan Aggarwal , Uday Bondhugula
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