NLEVP: A Collection of Nonlinear Eigenvalue Problems

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A framework for analyzing nonlinear eigenproblems and parametrized linear systems (2011, methodology): “To illustrate the theory we report experiments with linear systems P(ω)x = b corresponding to three quadratic matrix polynomials from the NLEVP collection [6,7].”
Fiedler companion linearizations for rectangular matrix polynomials (2012, background): “Matrix polynomials arise in many applications like systems of differential-algebraic equations, vibration analysis of structural systems, acoustics, fluid-structure interaction problems, computer graphics, signal processing, control theory, and linear system theory [4, 18, 24, 25, 29, 30, 31, 32].”
Characterization of bistability for stochastic multistep methods (2010, neutral): “The computation of all eigenvalues and eigenvectors inside Ω usually requires to solve two problems (see [13],[1] for recent reviews) : 1.”
Chebyshev interpolation for nonlinear eigenvalue problems (2012, background): “In the context of partial differential equations (PDEs), the nonlinearity is usually caused by frequencydependent boundary conditions or material parameters; see [6, 25].”