An Arnoldi Method for Nonlinear Eigenvalue Problems

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Characterization of bistability for stochastic multistep methods (2010, unknown): “Voss and co-workers have combined these principles with locally convergent methods of Arnoldi or Jacobi-Davidson type (see [33],[6],[34]), and in this way provided an effective means for computing all eigenvalues.”
Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods (2004, methodology): “These variants have been introduced in [60] for quadratic eigenvalue problems and in [105, 109] for general nonlinear eigenproblems and are often called nonlinear Arnoldi method despite the fact that differently from the linear case no Krylov space is determined in the course of the algorithm.”
Nonlinear Rayleigh functionals (2012, methodology): “, the nonlinear Jacobi–Davidson method [2] and the nonlinear Arnoldi method [33].”
Chebyshev interpolation for nonlinear eigenvalue problems (2012, background): “The solution of nonlinear eigenvalue problems has been extensively discussed in the literature; see [25] for an overview of classic methods and [8, 14, 20, 31] for more recent developments.”