假设矩阵A和矩阵B都是N \times N (N = 2^{n})的方矩阵,求C = AB,如下所示: A = \left [\begin{matrix} A_{11} & A_{12} \\ A_{21} & A_{22} \end{matrix} \right ],B = \left [ \begin{matrix} B_{11} & B_{12} \\ B_{21} & B_{22} \\ \end{matrix} \right ]...
Strassen's Algorithm Made (Somewhat) More Natural: A Pedagogical Remark Ann Q. Gates, Vladik Kreinovich How did Strassen come up with his matrix multiplication method? StackExchange Toward an Optimal Algorithm for Matrix Multiplication Sara Robinson Multiplying matrices in O(n^2.373) time Virginia Va...
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...
通过zero-padding,将 A、B 填充为以 2 的幂为 size 的 square-matrix。将 ABC 等分为四个 block: 计算如下矩阵 M: 计算C: Conclu 标准矩阵乘法复杂度为O(nlog2(7))=O(n3)O(nlog2(7))=O(n3),算法复杂度为O(nlog2(7))O(nlog2(7))。理论上存在更快的算法 Coppersmith–Winograd algorithm,但...
The well known algorithm of Volker Strassen for matrix multiplication can only be used for (m2k x m2k) matrices. For arbitrary (n x n) matrices one has to add zero rows and columns to the given matrices to use Strassen's algorithm. Strassen gave a strategy of how to set m and k ...
为什么,第三步,current指2,与end交换之后,current不动了列,对的,正如algorithm__所说:current之所以与begin交换后,current++、begin++,是因为此无后顾之忧。而current与end交换后,current不动,end--,是因有后顾之忧。 读者可以试想,你最终的目的无非就是为了让0、1、2有序排列,试想,如果第三步,current与end...
technique based on a divide and conquer approach. This article will focus on Strassen’s multiplication recursive algorithm for multiplying nxn matrices, which is a little faster than the simple brute-force method. The time complexity of this algorithm is O(n^(2.8), which is less than O(n^...
Natural: A Pedagogical Remark Ann Q. Gates, Vladik Kreinovich”“How did Strassen come up with his matrix multiplication method? StackExchange”“Toward an Optimal Algorithm for Matrix Multiplication Sara Robinson”“Multiplying matrices in O(n2.373) time Virginia Vassilevska Williams”
现在我已经实现了Strassen algorithm for matrix multiplication-它在 在Python和C++中的 ,就像在维基百科上一样。下面是我拥有的时间: C++:45分钟(Source) Python:在10小时后被杀死(Source) 为什么斯特拉森矩阵乘法比标准矩阵乘法慢得多? 想法: ...
* * Algorithm Analysis: * T(n) = 7 * T(n/2) - basic operation: multiplication (call...