For the first challenge (Matrix Multiplication using Strassen's Algorithm) of Phase 2 of the 2009 Intel Threading Challenge I implemented Strassen's algorithm in Cilk++. I built versions that use both GotoBLAS and MKL to implement the base case of the recursion. I measured an effective ...
代码:(为了方便,我只按列对B矩阵进行了赋权操作) #include<cstdio>#include<cstring>#include<algorithm>usingnamespacestd;#defineN 505#defineLL long longLL a[N][N],b[N][N],c[N][N],s[N],t[N],seed[N];intmain(){srand(3993991);intn,i,j,tim;boolflg;while(~scanf("%d",&n)){memse...
COSMA is a parallel, high-performance, GPU-accelerated, matrix-matrix multiplication algorithm that is communication-optimal for all combinations of matrix dimensions, number of processors and memory sizes, without the need for any parameter tuning. The key idea behind COSMA is to first derive a ti...
③ generates a large database of matrix multiplication algorithms — up to thousands of algorithms for each size (the space is richer than previously known). 有学者指出,这个结果本身提升不大,文中仅对比强调了Strassen's algorithm,但目前理论上最快的算法达到 \text{O}(n^{2.373})(Ryan Williams在Tw...
n= 1#let c to be a new nxn matrixc = [[0forxinrange(n)]foryinrange(n)]ifn == 1: c=[[0],[0]] c[0][0]= A[0] *B[0]else:#partition A, B and Cc[0][0] =squre_matrix_multiply_recursive([A[0][0]], [B[0][0]]) \+ squre_matrix_multiply_recursive([A[0][1]...
#include<cstdio> #include<algorithm> #include<deque> #include #include<cstring> using namespace std; #define maxn 50010 struct Matrix{ int x, y; Matrix() {} Matrix(int xx, int yy) { x = xx; y = yy; } }M[30]; int n
“Algorithm 1000: SuiteSparse:GraphBLAS: Graph Algorithms in the Language of Sparse Linear Algebra.” ACM Transactions on Mathematical Software 45, no. 4 (December 31, 2019): 1–25. https://doi.org/10.1145/3322125. Extended Capabilities expand all Tall Arrays Calculate with arrays that have ...
1、Parallel Programmingin C with MPI and OpenMP,Michael J. Quinn,Chapter 11,Matrix Multiplication,Outline,Sequential algorithms Iterative, row-oriented Recursive, block-oriented Parallel algorithms Rowwise block striped decomposition Cannons algorithm,Iterative, Row-oriented Algorithm,Series of inner p 2、...
New parallel matrix multiplication algorithms for wormhole-routed all port 2D/3D torus networks[A].Coimbra,Portugal,2010.21-24.Baransel, C., İmre, K.M.: A Parallel Implementation of Strassen's Matrix Multiplication Algorithm for Wormhole-Routed All-Port 2D Torus Networks. Journal of ...
It is worth keeping in mind that the comparison of arithmetic intensity with the ops:byte ratio is a simplified rule of thumb, and does not consider many practical aspects of implementing this computation (such as non-algorithm instructions like pointer arithmetic, or the contribution of the GPU...