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]...
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...
当然这这个复杂度是按照矩阵乘法的定义来的,也即naive algorithm,实际计算中,可以用到某些更加高级的算法,比如“TheSolvay Strassen Algorithm”,此法能将时间复杂度降低到O(n2.8074),更多细节,可参考链接Matrix Multiplication Algorithm Time Complexity | Baeldung on Computer Science。根据wikipedia,目前已知的最高效的...
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...
Matrix Multiplication The project contains a miniapp that produces two random matricesAandB, computes their productCwith the COSMA algorithm and outputs the time of the multiplication. The miniapp consists of an executable./build/miniapp/cosma_miniappwhich can be run with the following command line ...
Choi, J.: A new parallel matrix multiplication algorithm on distributed-memory concurrent computers. Concurrency: Practice and Experience 10(8), 655-670 (1998)Choi, J. A new parallel matrix multiplication algorithm on distributed-memory concurrent computers. Concurr. Comput. 10, 8 (July 1998),...
Decomposition and tile numbering of input matrices A and B and output matrix C into tiles. Top row: for the tiled matrix multiplication algorithm. Bottom row: for the tiled hStreams matrix multiplication algorithm. Sign in to download full-size image Figure 15.3. Tiled matrix multiplication ...
解题思路:双端队列,遇到右括号时弹出后面的两个矩阵进行乘法,相乘时要注意顺序,是第二个出队列的乘上第一个出队列的。 #include<cstdio> #include<algorithm> #include<deque> #include #include<cstring> using namespace std; #define maxn 50010 struct ...
“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 ...
#include<algorithm> #include<cmath> using namespace std; const int N = 805; int a[N][N], b[N][N], ans[N][N]; int main() { int n, i, j, k; while(~scanf("%d",&n)) { for(i = 1; i <= n; i++) for(j = 1; j <= n; j++) ...