Automatic generation of fast algorithms for matrix–vector multiplication
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DOI: 10.1080/00207160.2017.1294252
Abstract: ABSTRACT This paper describes the methods for finding fast algorithms for computing matrix–vector products including the procedures based on the block-structured matrices. The proposed methods involve an analysis of the structural properties of matrices. The… read more here.
Keywords: matrix; fast algorithms; matrix vector; automatic generation ... See more keywords
Unified matrix–vector wave equation, reciprocity and representations
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DOI: 10.1093/gji/ggy451
Abstract: The matrix-vector wave equation is a compact first-order differential equation. It was originally used for the analysis of elastodynamic plane waves in laterally invariant media. It has been extended by various authors for laterally varying… read more here.
Keywords: vector; matrix; matrix vector; reciprocity ... See more keywords
An Efficient Fault-Tolerance Design for Integer Parallel Matrix–Vector Multiplications
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Very Large Scale Integration (VLSI) Systems"
DOI: 10.1109/tvlsi.2017.2755765
Abstract: Parallel matrix processing is a typical operation in many systems, and in particular matrix–vector multiplication (MVM) is one of the most common operations in the modern digital signal processing and digital communication systems. This paper… read more here.
Keywords: fault tolerance; design integer; matrix vector; parallel matrix ... See more keywords
Rateless codes for near-perfect load balancing in distributed matrix-vector multiplication
Sign Up to like & getrecommendations! Published in 2022 at "Communications of the ACM"
DOI: 10.1145/3524298
Abstract: Large-scale machine learning and data mining applications require computer systems to perform massive matrix-vector and matrix-matrix multiplication operations that need to be parallelized across multiple nodes. The presence of straggling nodes---computing nodes that unpredictably slow… read more here.
Keywords: matrix vector; multiplication; load balancing; vector ... See more keywords