Nonlinear eigenvalue problems arise in a variety of science and engineering applications,
and in the past ten years there have been numerous breakthroughs in the development of …

The interconnection between two (or more) physical systems is always accompanied by
transfer phenomena (material, energy, information) such as transport and propagation …

The Handbook of Linear Algebra provides comprehensive coverage of linear algebra
concepts, applications, and computational software packages in an easy-to-use handbook …

We present a collection of 52 nonlinear eigenvalue problems in the form of a MATLAB
toolbox. The collection contains problems from models of real-life applications as well as …

A new rational Krylov method for the efficient solution of nonlinear eigenvalue problems,
A(λ)x=0, is proposed. This iterative method, called fully rational Krylov method for nonlinear …

We present a method for solving nonlinear eigenvalue problems (NEPs) using rational
approximation. The method uses the Antoulas–Anderson algorithm (AAA) of Nakatsukasa …

We propose a new uniform framework of compact rational Krylov (CORK) methods for
solving large-scale nonlinear eigenvalue problems A(λ)x=0. For many years, linearizations …

This work is concerned with numerical methods for matrix eigenvalue problems that are
nonlinear in the eigenvalue parameter. In particular, we focus on eigenvalue problems for …

Lamb waves are elastodynamic guided waves in plates and are used for non-destructive
evaluation, sensors, and material characterization. These applications rely on the …

This paper proposes a new rational Krylov method for solving the nonlinear eigenvalue
problem: A(λ)x=0. The method approximates A(λ) by Hermite interpolation where the degree …