Abstract. The fast matrix multiplication algorithm by Strassen is used to obtain the triangular factorization of a permutation of any nonsingular matrix of ordern in operations, and, hence, the inverse of any nonsingular matrix in 1. Introduction. Strassen [3] has given an algorithm using noncom...
block-recursive Strassen’s algorithmblock-recursive Winograd’s–Strassen’s algorithmfamily of fast hybrid matrix multiplication algorithmsA new recursive algorithm is proposed for multiplying matrices of order n = 2 q ( q > 1). This algorithm is based on a fast hybrid algorithm for multiplying ...
Fast algorithms for matrix multiplication, namely those that perform asymptotically fewer scalar operations than the classical algorithm, have been considered primarily of theoretical interest. Apart from Strassen's original algorithm, few fast algorithms have been efficiently implemented or used in practical...
Matrix multiplicationParallel algorithmsStrassen'sWinograd's algorithmATLAS, created by a group of researchers/Jack Dongarra (UTK) Goto came 2002 to Texas to work with R. van de Geijn turned his attention to optimizing the speed of the Pentium 4 "When computer scientists at the University at ...
For m ≤ n 1.68 , the new algorithm is also faster than the best known matrix multiplication algorithm for dense matrices which uses O ( n 2.38 ) algebraic operations. The new algorithm is obtained using a surprisingly straightforward combination of a simple combinatorial idea and existing fast ...
Note that each of the above matrices is a square,n x nmatrix wherenis the number of nodes in the graph. Now we are starting to get into the notation that is actually used by the Neo4j implementation of the FastRP algorithm! Here is where we are going to start getting into those hyper...
Estimation of the weighted mean and covariance matrix using an online algorithm (Clarke, 1971). Computation of central moments up to fourth order using an online algorithm (Spicer, 1972). Fast computation of Hadamard product using unrolled loops. ...
We design two nondeterministic algorithms for matrix multiplication. Both algorithms are based on derandomization of Freivalds’ algorithm for verification of matrix products. The first algorithm works with real numbers and its time complexity on Real RAMs isO(n2logn). The second one is of the same...
The performance of both serial and parallel implementations of matrix multiplication is highly sensitive to memory system behavior. False sharing and cache... G Miller 被引量: 0发表: 1999年 A New Parallel Matrix Multiplication Algorithm on Distributed-Memory Concurrent Computers We present a new fas...
Hart S, Hedtke I, Müller-Hannemann M, Murthy S (2015) A fast search algorithm for \(<m, m, m>\) triple product property triples and an application for 5 \(\times \) 5 matrix multiplication. Groups Complexity Cryptol 7(1):31–46 Article MATH MathSciNet Google Scholar Hedtke I, ...