December 14th, 2011, 03:01 AM
Given two polynomials - show how multiplication between them is o(nlogm)
I've two polynomials , one of degree "m" and the other of degree "n" , and I need show how
the multiplication between them is o(n*log(m)) , when m<n .
Let's say , A(x) has degree "n" , and B(x) has degree "m"
My felling is the following :
1. We take the first polynomial , let's call it A(x) , and separate it to "m" parts , meaning m/n polynomials in the total . This would take o(n)
2. Take each one of the broken polynomials and multiply it with B(x) using FFT .
3.We store the result in an array of n+m values .
but from here I don't know how to continue . I'd appreciate your help ,
December 14th, 2011, 03:48 AM
Re: Given two polynomials - show how multiplication between them is o(nlogm)
Interesting question. I did not realize a fast FFT-based polynomial multiplication algorithm existed. Perhaps this link will help: http://www.cs.iastate.edu/~cs577/han...lymultiply.pdf
All advice is offered in good faith only. You are ultimately responsible for effects of your programs and the integrity of the machines they run on.
Click Here to Expand Forum to Full Width
This is a Codeguru.com survey!