We develop the theory of a special type of scattering state in which a set of asymptotic
channels is chosen as inputs, and the complementary set is chosen as outputs, and there is …

SLEPc is a parallel library for the solution of various types of large-scale eigenvalue
problems. Over the past few years, we have been developing a module within SLEPc, called …

We investigate a technique to transform a linear two-parameter eigenvalue problem into a
nonlinear eigenvalue problem (NEP). The transformation stems from an elimination of one of …

Broyden's method is a general method commonly used for nonlinear systems of equations
when very little information is available about the problem. We develop an approach based …

Metamaterial homogenization theories usually start with crude approximations that are valid
in certain limits in zero order, such as small frequencies, wave vectors and material fill …

Electromagnetic Eigenvalue Problems Linear and Saturable Scattering Page 1 Abstract
Electromagnetic Eigenvalue Problems and Nonhermitian Effects in Linear and Saturable …

Contour integration techniques have become a popular choice for solving the linear and non-
linear eigenvalue problems. They principally include the Sakurai-Sugiura methods, the …

This work considers a class of delay eigenvalue problems that admit a spectrum similar to
that of a Hamiltonian matrix, in the sense that the spectrum is symmetric with respect to both …

Eigenproblems and their nonlinear generalizations appear as important problems in a wide
variety of fields, ranging from quantum chemistry and vibration analysis to macroeconomics …

In this thesis we focus on the theoretical and computational aspects of nonlinear eigenvalue
problems (NEPs), which arise in several fields of computational science and engineering …