Small Degree Solutions for the Polynomial Bezout Equation
We give an overview of the ideas from Complex Analysis which provide the solution Qj of the polynomial Bezout equation P1Q1 + ⋯+PmQm = 1, with the (essentially) smallest possible degree.
Berenstein, C. A., & Struppa, D. C. (1988). Small degree solutions for the polynomial Bezout equation. Linear Algebra and its Applications, 98, 41-55. doi: 10.1016/0024-3795(88)90159-0