Quasi-Polynomial Mapping-based Root-Finder

A quasi-polynomial mapping-based root-finder is a method used in numerical analysis to find the roots of a quasi-polynomial function. Quasi-polynomials are functions that have periodic coefficients, and they can be used to model a wide range of phenomena in physics, engineering, and finance.

The basic idea behind the quasi-polynomial mapping-based root-finder is to transform the quasi-polynomial function into a polynomial function by mapping the coefficients onto the complex plane. This mapping allows us to apply existing polynomial root-finding algorithms, such as the Newton-Raphson method, to the transformed polynomial function.

The key advantage of this method is that it can handle quasi-polynomials with very high degrees and large periods, which would be difficult or impossible to solve using other methods. However, the mapping process can be computationally expensive, and the resulting polynomial function may have many roots, some of which are not relevant to the original quasi-polynomial function.

Overall, the quasi-polynomial mapping-based root-finder is a powerful tool for solving complex quasi-polynomial functions, but it requires careful implementation and analysis to ensure accurate and efficient results.