This is a black-box polynomial root finder written in modern C++ (header only, no dependencies except the standard library). It is based on the 1975 paper: K. Madsen and J. Reid, "Fortran Subroutines ...

Abstract: Given a measured frequency domain response, it is useful to determine the best fit rational polynomial transfer function and then synthesize a corresponding lumped network. Vector Fitting, ...

Hilbert’s 12th problem asked for novel analogues of the roots of unity, the building blocks for certain number systems. Now, over 100 years later, two mathematicians have produced them. Problems in ...

Abstract: As we know that, in the investigation of frequency-domain theory of linear systems, column-reduced, column (row) Hermite forms of polynomial matrix, and the minimal polynomial base for null ...