On solving composite power polynomial equations

On solving composite power polynomial equations

It is well known that a system of power polynomial equations can be reduced to a single-variable polynomial equation by exploiting the so-called Newton’s identities. In this work, by further exploring Newton’s identities, we discover a binomial decomposition rule for composite elementary symmetric polynomials. Utilizing this decomposition rule, we solve three types of systems of composite power...

Solving Polynomial Equations

Solving Monotone Polynomial Equations

We survey some recent results on iterative methods for approximating the least solution of a system of monotone fixed-point polynomial equations.

Solving Systems of Polynomial Equations

Zbigniew Jelonek SOLVING POLYNOMIAL EQUATIONS