scholarly journals Communication-Optimal Parallel Recursive Rectangular Matrix Multiplication

2013 ◽  
Author(s):  
James Demmel ◽  
David Eliahu ◽  
Armando Fox ◽  
Shoaib Kamil ◽  
Benjamin Lipshitz ◽  
...  
Keyword(s):  
Matrix Multiplication ◽  
Rectangular Matrix ◽  
Rectangular Matrix Multiplication

CALCULATIONS OF HIGH DEPENDABILITY ON FLOWING SYSTOLIC ARRAYS FOR TWO MATRIX MULTIPLICATION

2011 ◽  
Vol 03 (01) ◽  
pp. 77-86
Author(s):  
DRAGAN M. RANDJELOVIĆ
Keyword(s):  
Matrix Multiplication ◽  
Systolic Arrays ◽  
Two Dimensional ◽  
Rectangular Matrix ◽  
High Dependability ◽  
Rectangular Matrix Multiplication ◽  
Nested Loop

The objective of this paper is to discuss systolic arrays (SAs) that are suitable for regular three-nested loop algorithms implementation and which enable the possibility of high dependability calculations for the SAs obtained in this way. This is made by considering the different possible values of flow period of processor for SAs synthesized on adaptable algorithms. Therefore, the algorithm for two matrix multiplication is one typical adaptable algorithm obtained results illustrated in the end of this paper by the examples of two rectangular matrix multiplication realized with the so called flowing and hexagonal two dimensional 2D SAs of planar SAs group.

Fast rectangular matrix multiplication and some applications

2008 ◽  
Vol 51 (3) ◽  
pp. 389-406 ◽  
Author(s):  
ShanXue Ke ◽  
BenSheng Zeng ◽  
WenBao Han ◽  
Victor Y. Pan
Keyword(s):  
Matrix Multiplication ◽  
Rectangular Matrix ◽  
Rectangular Matrix Multiplication
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