We present a new fast and scalable matrix multiplication algorithm, called DIMMA Distribution-Independent Matrix Multiplication Algorithm, for block cyclic data distribution on ...
We perform forward error analysis for a large class of recursive matrix multiplication algorithms in the spirit of [D. Bini and G. Lotti, Stability of fast algorithms for matrix m...
James Demmel, Ioana Dumitriu, Olga Holtz, Robert K...
A novel parallel algorithm for matrix multiplication is presented. It is based on a 1-D hyper-systolic processor abstraction. The procedure can be implemented on all types of para...
This paperaddresses the problemof algorithm discovery, via evolutionarysearch, in the context of matrix multiplication. Thetraditional multiplicationalgorithm requiresO(n3) multip...
Structured linear algebra techniques enable one to deal at once with various types of matrices, with features such as Toeplitz-, Hankel-, Vandermonde- or Cauchy-likeness. Following...
Abstract. This paper presents a study of performance optimization of dense matrix multiplication on IBM Cyclops-64(C64) chip architecture. Although much has been published on how t...
Ziang Hu, Juan del Cuvillo, Weirong Zhu, Guang R. ...
Abstract. We give a novel general approach for solving NP-hard optimization problems that combines dynamic programming and fast matrix multiplication. The technique is based on red...
Abstract. We consider dynamic evaluation of algebraic functions (matrix multiplication, determinant, convolution, Fourier transform, etc.) in the model of Reif and Tate; i.e., if f...
Gudmund Skovbjerg Frandsen, Johan P. Hansen, Peter...
This paper explains why parallel implementation of matrix multiplication--a seemingly simple algorithm that can be expressed as one statement and three nested loops--is complex: P...
John A. Gunnels, Calvin Lin, Greg Morrow, Robert A...
Matrix multiplication is an important kernel in linear algebra algorithms, and the performance of both serial and parallel implementations is highly dependent on the memory system...
Siddhartha Chatterjee, Alvin R. Lebeck, Praveen K....