Search Results - "Jarlebring, Elias"

Polynomial two-parameter eigenvalue problems and matrix pencil methods for stability of delay-differential equations by Jarlebring, Elias, Hochstenbach, Michiel E.

“…Several recent methods used to analyze asymptotic stability of delay-differential equations (DDEs) involve determining the eigenvalues of a matrix, a matrix…”
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Implicit algorithms for eigenvector nonlinearities by Jarlebring, Elias, Upadhyaya, Parikshit

“…We study and derive algorithms for nonlinear eigenvalue problems, where the system matrix depends on the eigenvector, or several eigenvectors (or their…”
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Critical delays and polynomial eigenvalue problems by Jarlebring, Elias

“…In this work we present a new method to compute the delays of delay-differential equations (DDEs), such that the DDE has a purely imaginary eigenvalue. For…”
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Computation of leaky waves in layered structures coupled to unbounded media by exploiting multiparameter eigenvalue problems by Gravenkamp, Hauke, Plestenjak, Bor, Kiefer, Daniel A., Jarlebring, Elias

“…We present a semi-analytical approach to compute quasi-guided elastic wave modes in horizontally layered structures radiating into unbounded fluid or solid…”
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Convergence factors of Newton methods for nonlinear eigenvalue problems by Jarlebring, Elias

“…Consider a complex sequence {λk}k=0∞ convergent to λ∗∈C with order p∈N. The convergence factor is typically defined as the fraction ck:=(λk+1-λ∗)/(λk-λ∗)p in…”
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On restarting the tensor infinite Arnoldi method by Mele, Giampaolo, Jarlebring, Elias

“…An efficient and robust restart strategy is important for any Krylov-based method for eigenvalue problems. The tensor infinite Arnoldi method (TIAR) is a…”
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The Lambert W function and the spectrum of some multidimensional time-delay systems by Jarlebring, Elias, Damm, Tobias

“…In this note we find an explicit expression for the eigenvalues of a retarded time-delay system with one delay, for the special case that the system matrices…”
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Invariance properties in the root sensitivity of time-delay systems with double imaginary roots by Jarlebring, Elias, Michiels, Wim

“…If i ω ∈ i R is an eigenvalue of a time-delay system for the delay τ 0 then i ω is also an eigenvalue for the delays τ k ≔ τ 0 + k 2 π / ω , for any k ∈ Z . We…”
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A linear eigenvalue algorithm for the nonlinear eigenvalue problem by Jarlebring, Elias, Michiels, Wim, Meerbergen, Karl

“…The Arnoldi method for standard eigenvalue problems possesses several attractive properties making it robust, reliable and efficient for many problems. The…”
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Iterative methods for the delay Lyapunov equation with T-Sylvester preconditioning by Jarlebring, Elias, Poloni, Federico

“…The delay Lyapunov equation is an important matrix boundary-value problem which arises as an analogue of the Lyapunov equation in the study of time-delay…”
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Krylov methods for low‐rank commuting generalized Sylvester equations by Jarlebring, Elias, Mele, Giampaolo, Palitta, Davide, Ringh, Emil

“…Summary We consider generalizations of the Sylvester matrix equation, consisting of the sum of a Sylvester operator and a linear operator Π with a particular…”
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Model reduction of time-delay systems using position balancing and delay Lyapunov equations by Jarlebring, Elias, Damm, Tobias, Michiels, Wim

“…Balanced truncation is a standard and very natural approach to approximate dynamical systems. We present a version of balanced truncation for model order…”
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Analyzing the convergence factor of residual inverse iteration by Jarlebring, Elias, Michiels, Wim

“…We will establish here a formula for the convergence factor of the method called residual inverse iteration , which is a method for nonlinear eigenvalue…”
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Invariance properties in the root sensitivity of time-delay systems with doubl imaginary roots by JARLEBRING, Elias, MICHIELS, Wim

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Disguised and new quasi-Newton methods for nonlinear eigenvalue problems by Jarlebring, E., Koskela, A., Mele, G.

“…In this paper, we take a quasi-Newton approach to nonlinear eigenvalue problems (NEPs) of the type M ( λ ) v = 0, where M : ℂ → ℂ n × n is a holomorphic…”
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Using spectral discretisation for the optimal ℋ 2 design of time-delay systems by Vanbiervliet, Joris, Michiels, Wim, Jarlebring, Elias

“…The stabilisation and robustification of a time-delay system is the topic of this article. More precisely, we want to minimise the ℋ 2 norm of the transfer…”
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A rank-exploiting infinite Arnoldi algorithm for nonlinear eigenvalue problems by Van Beeumen, Roel, Jarlebring, Elias, Michiels, Wim

“…Summary We consider the nonlinear eigenvalue problem M(λ)x = 0, where M(λ) is a large parameter‐dependent matrix. In several applications, M(λ) has a structure…”
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On dominant poles and model reduction of second order time-delay systems by Saadvandi, Maryam, Meerbergen, Karl, Jarlebring, Elias

“…The method known as the dominant pole algorithm (DPA) has previously been successfully used in combination with model order reduction techniques to approximate…”
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Using spectral discretisation for the optimal ℌ2 design of time-delay systems by VANBIERVLIET, Joris, MICHIELS, Wim, JARLEBRING, Elias

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Characterizing and Computing the cal H 2 Norm of Time-Delay Systems by Solving the Delay Lyapunov Equation by Jarlebring, Elias, Vanbiervliet, Joris, Michiels, Wim

“…It is widely known that the solutions of Lyapunov equations can be used to compute the cal H 2 norm of linear time-invariant (LTI) dynamical systems. In this…”
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