Optimizing the half-gcd algorithm

12/23/2022
by   Joris van der Hoeven, et al.
0

In this paper, we propose a carefully optimized "half-gcd" algorithm for polynomials. We achieve a constant speed-up with respect to previous work for the asymptotic time complexity. We also discuss special optimizations that are possible when polynomial multiplication is done using radix two FFTs.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
02/06/2017

Fast multiplication for skew polynomials

We describe an algorithm for fast multiplication of skew polynomials. It...
research
02/08/2019

Generic reductions for in-place polynomial multiplication

The polynomial multiplication problem has attracted considerable attenti...
research
05/01/2021

On the Efficient Implementation of an Implicit Discrete-Time Differentiator

New methodologies are designed to reduce the time complexity of an impli...
research
01/27/2019

Nearly Optimal Sparse Polynomial Multiplication

In the sparse polynomial multiplication problem, one is asked to multipl...
research
03/04/2022

Beyond Time Complexity: Data Movement Complexity Analysis for Matrix Multiplication

Data movement is becoming the dominant contributor to the time and energ...
research
12/02/2017

Drinfeld Modules with Complex Multiplication, Hasse Invariants and Factoring Polynomials over Finite Fields

We present a novel randomized algorithm to factor polynomials over a fin...
research
11/23/2020

Speeding up decimal multiplication

Decimal multiplication is the task of multiplying two numbers in base 10...

Please sign up or login with your details

Forgot password? Click here to reset