New research details an intriguing new way to solve "unsolvable" algebra problems that go beyond the fourth degree – something that has generally been deemed impossible using traditional methods for ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

Abstract: We give an efficient implementation of the modified minimal polynomial extrapolation (MMPE) method for solving linear and nonlinear systems. We will show how to choose the auxiliary vectors ...

Abstract: The solution of overdetermined systems of polynomial equations shows promise for solving complicated problems in signal processing and related fields. Polynomials can represent more ...

The program allows solving polynomial nonlinear equations using several different methods and also compares their efficiency in solving a given problem by showing the time in microseconds spent for ...

1 Warwick Mathematics Institute, The University of Warwick, Coventry, United Kingdom 2 School of Computer and Information Engineering, Luoyang Institute of Science and Technology, Luoyang, China To ...

A mathematical conundrum that has remained unsolvable for a few hundred years has been finally solved. The mathematician decided to cut off some extra details and had his EUREKA! moment. Science & ...

This is the PyTorch implementation of Legend-KINN, proposed by our paper "Legend-KINN: A Legendre Polynomial-Based Kolmogorov-Arnold-Informed Neural Network for Efficient PDE Solving", published in ...