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Inverse eigenvalue problem for normal J-hamiltonian matrices
A complex square matrix A is called J-hamiltonian if AT is hermitian where J is a normal real matrix such that J(2) = -I-n. In this paper we solve the problem of finding J-hamiltonian normal solutions for the inverse ...
R II type recurrence, generalized eigenvalue problem and orthogonal polynomials on the unit circle
(2019-02-01)
We consider a sequence of polynomials {P n } n≥0 satisfying a special R II type recurrence relation where the zeros of P n are simple and lie on the real line. It turns out that the polynomial P n , for any n≥2, is the ...
Eigenvalue optimization-based formulations for nonlinear dynamics and control problems
(Elsevier Science Sa, 2007-11)
Eigenvalues play an important role in many fields of applied mathematics to engineering. For some applications it may be desirable to calculate the variables of a model in order to optimize an objective function and/or to ...
Convergence rates in a weighted Fucik problem
(De Gruyter, 2013-03)
In this work we consider the Fučik problem for a family of weights depending on ε with Dirichlet and Neumann boundary conditions. We study the homogenization of the spectrum. We also deal with the special case of periodic ...