2014/11/06 by Victor Y. Pan, Pan, Victor Y. · 1 citation
Computer Science · Mathematics · #FOS: Mathematics #Numerical Analysis (math.NA) #Parallel Computing and Optimization Techniques #Tensor decomposition and applications
paper · pdf · doi:10.48550/arxiv.1411.1972
openalex publication_date 2014/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Multilinear and tensor decompositions are a popular tool in linear and\nmultilinear algebra and have a wide range of important applications to modern\ncomputing. Our paper of 1972 presented the first nontrivial application of such\ndecompositions to fundamental matrix computations and was also a landmark in\nthe history of the acceleration of matrix multiplication. Published in 1972 in\nRussian, it has never been translated into English. It has been very rarely\ncited in the Western literature on matrix multiplication and never in the works\non multilinear and tensor decompositions. This motivates us to present its\ntranslation into English, together with our brief comments on its impact on the\ntwo fields.\n