Karatsuba Multiplication提供了一个O(n1.585)O(n1.585)的算法 FFT and Inverse FFT 场景 多项式有两种表达形式,一种是coefficient,一种是point-value 在需要完成一些多项式运算时,不同表达形式运算速度不同 我们既想要取得coefficient的快速evaluate,也想要point-value的multiplication 所以我们通过在两种形式间转换来实现这...
Divide-and-conquerparallel architecturesparallel matrix multiplicationparallel sortingRecent advances in the development of modern satellite sensors have increased the need for image coding, because of the huge volume of such collected data. It is well-known that the Karhunen-Lo锚ve transform provides ...
Divide-and-conquer algorithms 1 1 Multiplication The mathematician Gauss once noticed that although the product of two complex numbers seems to involve four real-number multiplications, it can in fact be done with just three: , , and , since This speeds up the computation, but only by a cons...
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...
1 Divide-and-conquer Dr.DeshiYe yedeshi@zju.edu 2 DivideandConquer Divide: theproblemintoanumberofsubproblemsthat arethemselvessmallerinstancesofthesame typeofproblem. Conquer: Recursivelysolvingthesesubproblems.Ifthe subproblemsaresmallenough,solvethem straightforward. Combine: thesolutionstothesubproblemsinto ...
divide and conquer 1. To exploit one's opponents' internal rivalries or divisions so as to prevent them from unifying against oneself, so that they may be defeated one by one. 2. To divide one's own forces or personnel so as to deal with different tasks simultaneously. [Middle English di...
Divide-and-conqueralgorithm:DividetheinputarrayintotwohalvesA[1..n/2]andA[n/2+1..n],findtheminimumandmaximumineachhalfandreturntheminimumofthetwominimaandthethemaximumofthetwomaxima.ProcedureMaxmin2(A;l,r:integer;varx:integer;vary:integer);Beginifl=rthen[x:=A[l];y:=A[r];return;]ifr-l=...
divide and conquer 1. To exploit one's opponents' internal rivalries or divisions so as to prevent them from unifying against oneself, so that they may be defeated one by one. 2. To divide one's own forces or personnel so as to deal with different tasks simultaneously. [Middle English di...
A divide-and-conquer algorithm for integer multiplication (3次乘法) functionmultiply(x,y)Input:Positive integers xandy,in binary Output:Their product/n=max(size of x,size of y)ifn=1:returnxy/xL,xR=leftmost ⌈n/2⌉,rightmost ⌊n/2⌋ bits of x ...
3) divide-and-conquer method 分治法 1. A fast algorithm of multiple-precision multiplication based on divide-and-conquer method; 一个基于分治法的快速多精度乘法 4) divide algorithm 分治算法 1. In order to optimize the algorithm and improve the efficiency of calculating experiment variation,thi...