ON THE SOLUTION OF PALINDROMIC EIGENVALUE PROBLEMS

By A. Hilliges, Christian Mehl, Volker Mehrmann. 2004

95 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/e4925f77b90fc7c7d6cf81364e10b27fa21d6056

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Citations in the corpus

NLEVP: A Collection of Nonlinear Eigenvalue Problems (2013, background): “It stems from a model of the vibration of rail tracks under the excitation of high speed trains [24], [25], [31].”
Smith Forms of Palindromic Matrix Polynomials (2011, unknown): “T -palindromic polynomials arise in the vibrational analysis of railroad tracks excited by high speed trains [11, 20], and in the modelling and numerical simulation of periodic surface acoustic wave (SAW) filters [12, 28].”
Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations (2006, methodology): “Thus physically useful eigenvalues were determined [16], [17], with no modification in the mathematical model or in the discretization scheme.”
Vibration of fast trains, palindromic eigenvalue problems and structure-preserving doubling algorithms (2008, background): “MSC: 43.40.+s; 02.60.x; 46.70.p; 46.40.f; 43.40.+s Keywords: Palindromic eigenvalue problem; Nonlinear matrix equation; Structure-preserving; Doubling algorithm”
Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods (2004, background): “4 [34, 35, 55] Consider a palindromic quadratic eigenvalue problem of the form (4) and the palindromic polynomial q(ξ) = ξ + 1, we obtain the palindromic pencil λZ + Z with”
A framework for analyzing nonlinear eigenproblems and parametrized linear systems (2011, background): “The first test is nlevp(‘railtrack’), which is a badly scaled quadratic of dimension 1005 arising from a model of the vibration of rail tracks under the excitation of high speed trains [21,28].”