The study of polynomial systems is a significant area in mathematics and computer science, particularly in understanding their complexity and developing efficient algorithms for solving them.

These algorithms are significant because they can solve the noncommutative weighted Edmonds' problem in polynomial time, demonstrating that certain complex problems can be tackled efficiently[2].

This function is a polynomial in two dimensions, with terms up to degree 5. It is nonlinear, and it is smooth despite being complex, which is common for computer experiment functions (Lim et al., 2002 ...

This is in contrast to the parametric regression where the degree of the polynomial controls the complexity of the fit. For the polynomial, additional complexity can result in inappropriate global ...

A polynomial is a chain of algebraic terms with various values of powers. There are some words and phrases to look out for when you're dealing with polynomials: \(6{x^5} - 3{x^2} + 7\) is a ...

Unfortunately, even approximating the value of Jones polynomials falls within the #P-hard complexity class, with the most efficient classical algorithms requiring an exponential amount of resources.