Decomposition of the skew-Hamiltonian matrix is the fundamental step to convert a structured polynomial eigenvalue problem into a standard Hamiltonian ... [8]. Example 1. [9]Let us consider a quartic ...

In particular the Smith normal form of a matrix plays an important role in many areas of mathematics such as the polynomial approach in control theory see for example Rosenbrock [1] and Kailath [2].

Abstract: This paper describes a parameter estimation algorithm applicable for the model structures in the form of multivariate polynomial systems. An example of a synchronous machine nonlinear model ...

However, if the form is rank-deficient, the optimal solution can be computed with only polynomial complexity in the length N of the maximizing vector. In this work, we consider the general case of a ...