Here we present a hyperparallel quantum algorithm for matrix multiplication with time complexityO(N2), which is better than the best known classical algorithm. In our scheme, anNdimensional vector is mapped to
squre_matrix_multiply(A,B)结果:[[8, 10], [21,24]] 通过分治思想求解: 分治思想: 将 N x N 划分为4 个 N/2 * N/2的子矩阵乘积之和.defsqure_matrix_multiply_recursive(A, B):try: n=len(A[0])exceptTypeError: n= 1#let c to be a new nxn matrixc = [[0forxinrange(n)]foryin...
4.2 Strassen's algorithm for matrix multiplication: Strassen's algorithm 是关于两个 n×n 矩阵乘法的算法。该算法将矩阵乘法一般算法的 Θ(n3) 时间复杂度降低为 O(nlg7)。 首先我们来看矩阵乘法一般算法。定义两个 n×n 的矩阵 A=(aij) 和B=(bij) ,定义矩阵 C=A∗B。对于 1<=i<=n,1<=j<=...
Steps of Strassen’s matrix multiplication: Divide the matrices A and B into smaller submatrices of the size n/2xn/2. Using the formula of scalar additions and subtractions compute smaller matrices of size n/2. Recursively compute the seven matrix products Pi=AiBi for i=1,2,…7. Now comp...
public Matrix subMatrix(int xs, int xe, int ys, int ye) { return new Matrix(data, xs, xe, ys, ye); } public int get(int x, int y) { return data[xs + x][ys + y]; } public void set(Matrix mt) { for (int i = 0; i < mt.lengthX; i++) { ...
J. Norstad, " MapReduce Algorithm for Matrix Multiplication," http://homepage. mac.com/j.norstad/matrix-multiply/index.html, 2009.J. Norstad. "A MapReduce Algorithm for Matrix Multiplication," 2010; http://homepage.mac.com/j.norstad/matrix-multiply/index.html....
A fast non-commutative algorithm for matrix multiplication. In Mathemat- ical Foundations of Computer Science, number 53 in LNCS, pages 504-512, 1977.Sykora, O. A fast non-commutative algorithm for matrix multiplica- tion. In Proceedings of the 6th International Symposium on Mathematical ...
如果感觉对算法细节仍然不够清晰的话,建议观看up主转载的视频(可看简介):Cannon's algorithm for matrix multiplication - YouTube转载,在给up主的好友讲解的时候,up主就想制作这样一个动画,没想到youtube上已经有人做了,用不同颜色清晰区别出P_ij节点之间所需的分块矩阵数据!
An approach of Matrix multiplication can develope a Θ(V⏫)-time algorithm for theall-pairs shortest-paths problem and then improve its running time to Θ(V⏫lg V).一个矩阵相乘问题的解决可以一个时间复杂度算法的所有路径的最短路径问题,改良后的时间复杂度是 。 相关知识点: 试题来源: 解...
native COSMA layout:to get the maximum performance, the native COSMA matrix layout should be used. To get an idea of the performance you can expect to get, please have a look at thematrix multiplication miniapp. The documentation for the latter option will soon be published here. ...