Multiplication algorithm

Booth's multiplication algorithm is a multiplication algorithm that multiplies two signed binary numbers in two's complement notation. The algorithm was invented by Andrew Donald Booth in 1950 while doing research on crystallography at Birkbeck Colle

This pseudocode from the book: <<Introduction to the Design and Analysis of Algorithms_Second Edition>> _ Anany LevitinNote that throughout the paper, we assume that inputs to algorithms fall within their specified ranges and hence require no

按照算法导论写的 还没有测试复杂度到底怎么样 不过这个真的很卡内存,挖个坑,以后写空间优化 还有Matthew Anderson, Siddharth Barman写了一个关于矩阵乘法的论文 <The Coppersmith-Winograd Matrix Multiplication Algorithm> 提出了矩阵乘法的O(n^2.37)算法,有时间再膜吧orz #include <iostream> #include <cstring> #include <

在通过汉诺塔问题理解递归的精髓中我讲解了怎么把一个复杂的问题一步步recursively划分了成简单显而易见的小问题.其实这个解决问题的思路就是算法中常用的divide and conquer, 这篇日志通过解决矩阵的乘法,来了解另外一个基本divide and conque思想的strassen算法.矩阵A乘以B等于X, 则Xij = 注意左乘右乘的区别,AB 与BA是不同的.如果r = 1, 直接就是两个数的相乘.如果r = 2, 例如X = [ 1, 2;   3, 4];Y = [ 2,

这个系列主要是记一下目前效率较高或者比较出名的一些算法. Karatsuba multiplication: x=5678   then: a=56  b=67 y=1234           c=12 d=34 setps: 1:   a*c = 672    ① 2:   b*d=2652   ② 3:  (a+b)(c+d)=6164  ③ 4:  ③-②-①=2840 5:  6720000 + 2652+284000 = 7006652 Recursive algorithm: wh

A Multiplication Game Time Limit: 5000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 6202    Accepted Submission(s): 3532 Problem Description Stan and Ollie play the game of multiplication by multiplying an in

Let A, B be two square matrices over a ring R. We want to calculate the matrix product C as {\displaystyle \mathbf {C} =\mathbf {A} \mathbf {B} \qquad \mathbf {A} ,\mathbf {B} ,\mathbf {C} \in R^{2^{n}\times 2^{n}}} If the matrices A, B are not of ty

Matrix Multiplication Time Limit: 2000/1000MS (Java/Others) Memory Limit: 128000/64000KB (Java/Others) Submit Statistic Next Problem Problem Description Let us consider undirected graph G = {V; E} which has N vertices and M edges. Incidence matrix of

Multiplication Puzzle Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 6511   Accepted: 3964 Description The multiplication puzzle is played with a row of cards, each containing a single positive integer. During the move player takes one