GitHub

complex_eigenvalues.tex

\item If \(\lambda \in \mathbb{C}\) is a root of a real polynomial \(p(x)\), then the conjugate \(\lambda\) is also a root of \(p(x)\). \item If \(\lambda\) is an ...
Scientific Research Publishing

Parallelizing a Code for Counting and Computing Eigenvalues of Complex Tridiagonal Matrices and Roots of Complex Polynomials ()

Department of Mathematics, University of Patras, Patras, Greece. Department of Physics, University of Patras, Patras, Greece. A code for “counting and computing the eigenvalues of a complex ...
IEEE

State-Space Transformations of Uncertain Systems with Purely Real and Conjugate-Complex Eigenvalues into a Cooperative Form

Abstract: Cooperativity of uncertain dynamic systems can be exploited to simplify several tasks such as the computation of guaranteed state enclosures, the design of interval observers, forecasting ...
IEEE

Multivariate Polynomial Optimization in Complex Variables Is a (Rectangular) Multiparameter Eigenvalue Problem

Abstract: We extend the relation between univariate polynomial optimization in one complex variable and the polynomial eigenvalue problem to the multivariate case. The first-order necessary conditions ...