pair_egcd(a: int, b: int) -> tuple[int, int, int] : Returns (x,y,d) where d is the GCD of a and b, and x and y are integers such that ax+by=d gcd(*args: int) -> int : Returns the GCD of all integers ...

Extended GCD for polynomial over finite field: This project to calculate extended GCD for two polynomial equations over finite field GF(z). Input : two polynomials equations in format : [coefficients ...

Abstract: We propose an algorithm to compute a greatest common divisor (GCD) of univariate polynomials with large integer coefficients on Graphics Processing Units (GPUs). At the highest level, our ...

Structured low-rank approximation (SLRA) is a mathematical framework that seeks to approximate a given data matrix by another matrix of lower rank while preserving intrinsic structural properties.

Abstract: In this paper, a new characterisation of the approximate GCD of many polynomials is given that also allows the evaluation of accuracy of the corresponding ‘approximate GCD computation’. This ...

SIAM Journal on Numerical Analysis, Vol. 36, No. 4 (May - Jun., 1999), pp. 1022-1029 (8 pages) An algorithm for the calculation of the maximum modulus of a complex polynomial on the unit disc is ...