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IPPS
2000
IEEE
13 years 9 months ago
Scalable Parallel Matrix Multiplication on Distributed Memory Parallel Computers
Consider any known sequential algorithm for matrix multiplication over an arbitrary ring with time complexity ON , where 2  3. We show that such an algorithm can be parallelize...
Keqin Li
PARA
2004
Springer
13 years 10 months ago
A Family of High-Performance Matrix Multiplication Algorithms
During the last half-decade, a number of research efforts have centered around developing software for generating automatically tuned matrix multiplication kernels. These include ...
John A. Gunnels, Fred G. Gustavson, Greg Henry, Ro...
ISSAC
2004
Springer
102views Mathematics» more  ISSAC 2004»
13 years 10 months ago
FFPACK: finite field linear algebra package
The FFLAS project has established that exact matrix multiplication over finite fields can be performed at the speed of the highly optimized numerical BLAS routines. Since many a...
Jean-Guillaume Dumas, Pascal Giorgi, Clémen...
ICALP
2004
Springer
13 years 10 months ago
A Faster Algorithm for Minimum Cycle Basis of Graphs
Abstract. In this paper we consider the problem of computing a minimum cycle basis in a graph G with m edges and n vertices. The edges of G have non-negative weights on them. The p...
Telikepalli Kavitha, Kurt Mehlhorn, Dimitrios Mich...
ISSAC
2005
Springer
105views Mathematics» more  ISSAC 2005»
13 years 10 months ago
Computing the rank and a small nullspace basis of a polynomial matrix
We reduce the problem of computing the rank and a nullspace basis of a univariate polynomial matrix to polynomial matrix multiplication. For an input n×n matrix of degree d over ...
Arne Storjohann, Gilles Villard
FPGA
2005
ACM
174views FPGA» more  FPGA 2005»
13 years 10 months ago
64-bit floating-point FPGA matrix multiplication
We introduce a 64-bit ANSI/IEEE Std 754-1985 floating point design of a hardware matrix multiplier optimized for FPGA implementations. A general block matrix multiplication algor...
Yong Dou, Stamatis Vassiliadis, Georgi Kuzmanov, G...
FOCS
2005
IEEE
13 years 10 months ago
Group-theoretic Algorithms for Matrix Multiplication
We further develop the group-theoretic approach to fast matrix multiplication introduced by Cohn and Umans, and for the first time use it to derive algorithms asymptotically fast...
Henry Cohn, Robert D. Kleinberg, Balázs Sze...
COMPGEOM
2006
ACM
13 years 10 months ago
Colored intersection searching via sparse rectangular matrix multiplication
In a Batched Colored Intersection Searching Problem (CI), one is given a set of n geometric objects (of a certain class). Each object is colored by one of c colors, and the goal i...
Haim Kaplan, Micha Sharir, Elad Verbin
CLUSTER
2006
IEEE
13 years 10 months ago
Matrix Multiplication on Two Interconnected Processors
This paper presents a new partitioning algorithm to perform matrix multiplication on two interconnected heterogeneous processors. Data is partitioned in a way which minimizes the ...
Brett A. Becker, Alexey L. Lastovetsky
EUROPAR
2009
Springer
13 years 11 months ago
High Performance Matrix Multiplication on Many Cores
Moore’s Law suggests that the number of processing cores on a single chip increases exponentially. The future performance increases will be mainly extracted from thread-level par...
Nan Yuan, Yongbin Zhou, Guangming Tan, Junchao Zha...