Elias Jarlebring

Publications

Preprints/PDFs that you can download from this page may differ from the printed journal version.

See also online research databases: MathSciNet profile, KTH research database (DIVA), papers indexed on Zentralblatt, google scholar profile, scopus profile and ORCID.

Submitted manuscripts and technical reports not published elsewhere

  1. E. Jarlebring, G. Mele, D. Palitta, E. Ringh
    Krylov methods for low-rank commuting generalized Sylvester equations
    2017
    [preprint] [software
  2. E. Jarlebring and F. Poloni
    Iterative methods for the delay Lyapunov equation with T-Sylvester preconditioning
    2015
    [preprint] [software
  3. A. Koskela and E. Jarlebring
    The infinite Arnoldi exponential integrator for linear inhomogeneous ODEs
    2015
    [preprint

Journal Papers (published or accepted for publication)

  1. E. Jarlebring, A. Koskela, and G. Mele
    Disguised and new quasi-Newton methods for nonlinear eigenvalue problems
    Numer. Algorithms, Accepted for publication, 2017
    [preprint] [paper] [software
  2. S. Gaaf and E. Jarlebring
    The infinite Bi-Lanczos method for nonlinear eigenvalue problems
    SIAM J. Sci. Comput., 39:S898-S919, 2017
    [preprint] [paper] [software
  3. E. Ringh, G. Mele, J. Karlsson and E. Jarlebring
    Sylvester-based preconditioning for the waveguide eigenvalue problem
    Linear Algebra Appl., 2017
    [preprint] [paper] [software
  4. J. Araujo-Cabarcas, C. Engström and E. Jarlebring
    Efficient resonance computations for Helmholtz problems based on a Dirichlet-to-Neumann map
    J. Comput. Appl. Math., 330:177-192, 2018
    [preprint] [paper
  5. G. Mele and E. Jarlebring
    On restarting the tensor infinite Arnoldi method
    BIT numerical mathematics:1-30, 2017
    [preprint] [paper
  6. E. Jarlebring, G. Mele, and O. Runborg
    The waveguide eigenvalue problem and the tensor infinite Arnoldi method
    SIAM J. Sci. Comput., 39:A1062-A1088, 2017
    [preprint] [paper] [software
  7. A. Koskela, E. Jarlebring and M.E. Hochstenbach
    Krylov approximation of ODEs with polynomial parameterization
    SIAM J. Matrix Anal. Appl., 37:519-538, 2016
    [preprint] [paper
  8. R. Van Beeumen, E. Jarlebring and W. Michiels
    A rank-exploiting infinite Arnoldi algorithm for nonlinear eigenvalue problems
    Numer. Linear Algebra Appl., 23(4):607-628, 2016
    [preprint] [paper] [software
  9. E. Jarlebring, S. Kvaal and W. Michiels
    An inverse iteration method for eigenvalue problems with eigenvector nonlinearities
    SIAM J. Sci. Comput., 36-4:A1978-A2001, 2014
    [preprint] [paper] [Zbl
  10. E. Jarlebring, K. Meerbergen and W. Michiels
    Computing a partial Schur factorization of nonlinear eigenvalue problems using the infinite Arnoldi method
    SIAM J. Matrix Anal. Appl., 35(2):411-436, 2014
    [preprint] [paper] [Zbl
  11. E. Jarlebring and S. Güttel
    A spatially adaptive iterative method for a class of nonlinear operator eigenvalue problems
    Electronic Transactions on Numerical Analysis (ETNA), 41:21-41, 2014
    [preprint] [paper] [Zbl
  12. E. Jarlebring, T. Damm and W. Michiels
    Model reduction of time-delay systems using position balancing and delay Lyapunov equations
    Mathematics of Control, Signals, and Systems, 25(2):147-166, 2013
    [preprint] [paper] [Zbl
  13. E. Jarlebring, W. Michiels and K. Meerbergen
    A linear eigenvalue algorithm for the nonlinear eigenvalue problem
    Numerische Mathematik, 122(1):169-195, 2012
    [preprint] [paper] [Zbl
  14. M. Saadvandi, K. Meerbergen and E. Jarlebring
    On dominant poles and model reduction of second order time-delay systems
    Appl. Numer. Math., 62(1):21-34, 2012
    [preprint] [paper] [Zbl
  15. E. Jarlebring
    Convergence factors of Newton methods for nonlinear eigenvalue problems
    Linear Algebra Appl., 436:3943-3953, 2012
    [preprint] [paper] [Zbl
  16. W. Michiels, E. Jarlebring and K. Meerbergen
    Krylov-based model order reduction of time-delay systems
    SIAM J. Matrix Anal. Appl., 32(4):1399-1421, 2011
    [preprint] [paper] [Zbl
  17. E. Jarlebring and W. Michiels
    Analyzing the convergence factor of residual inverse iteration
    BIT numerical mathematics, 51(4):937-957, 2011
    [preprint] [paper] [Zbl
  18. E. Jarlebring, S. Kvaal and W. Michiels
    Computing all pairs (λ,μ) such that λ is a double eigenvalue of A+μB
    SIAM J. Matrix Anal. Appl., 32(3):902-927, 2011
    [preprint] [paper] [Zbl
  19. S. Kvaal, E. Jarlebring and W. Michiels
    Computing singularities of perturbation series
    Phys. Rev. A, 83:032505, 2011
    [preprint] [paper
  20. J. Vanbiervliet, W. Michiels and E. Jarlebring
    Using spectral discretization for the optimal ℋ₂ design of time-delay systems
    Int. J. Control, 84(2):228-241, 2011
    [preprint] [paper] [Zbl
  21. E. Jarlebring, J. Vanbiervliet and W. Michiels
    Characterizing and computing the ℋ₂ norm of time-delay systems by solving the delay Lyapunov equation
    IEEE Trans. Autom. Control, full paper, 56(4):814-825, 2011
    [preprint] [paper
  22. E. Jarlebring, K. Meerbergen and W. Michiels
    A Krylov method for the delay eigenvalue problem
    SIAM J. Sci. Comput., 32(6):3278-3300, 2010
    [preprint] [paper] [Zbl
  23. E. Jarlebring and W. Michiels
    Invariance properties in the root sensitivity of time-delay systems with double imaginary roots
    Automatica, 46:1112-1115, 2010
    [preprint] [paper] [Zbl
  24. E. Jarlebring and M.E. Hochstenbach
    Polynomial two-parameter eigenvalue problems and matrix pencil methods for stability of delay-differential equations
    Linear Algebra Appl., 431(3-4):369-380, 2009
    [preprint] [paper] [Zbl
  25. E. Jarlebring
    Critical delays and Polynomial Eigenvalue Problems
    J. Comput. Appl. Math., 224(1):296-306, 2009
    [preprint] [paper] [Zbl
  26. E. Jarlebring and T. Damm
    The Lambert W function and the spectrum of some multidimensional time-delay systems
    Automatica, 43(12):2124-2128, 2007
    [preprint] [paper] [Zbl
  27. E. Jarlebring and H. Voss
    Rational Krylov for Nonlinear Eigenproblems, an Iterative Projection Method
    Applications of Mathematics, 50(6):543-554, 2005
    [preprint] [paper] [Zbl

Books (editor)

Chapters in books and edited volumes

  1. E. Jarlebring, W. Michiels, K. Meerbergen
    The infinite Arnoldi method and an application to time-delay systems with distributed delays
    In R. Sipahi, T. Vyhlidal, P. Pepe, S.-I. Niculescu, Eds., 'Time Delay Systems - Methods, Applications and New Trends', 2011
    [preprint] [paper

Conference proceedings

  1. W. Michiels, E. Jarlebring, K. Meerbergen
    A projection approach for model reduction of large-scale time-delay systems, with application to a boundary controlled PDE
    Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, Dec. 12-15, 2011
    [conference] [paper
  2. E. Jarlebring, J. Vanbiervliet and W. Michiels
    Explicit expressions for the ℋ₂ norm of time-delay systems based on the delay Lyapunov equation
    Proceedings of the 49th IEEE Conference on Decision and Control, 2010, December 15-17, 2010
    [conference] [paper
  3. O. Rott and E. Jarlebring
    An iterative method for the multipliers of periodic delay-differential equations and the analysis of a PDE milling model
    Proceedings of the 9th IFAC Workshop on Time Delay Systems, Prague, June 7-9, 2010
    [conference] [preprint] [paper] [abstract
  4. E. Jarlebring, K. Meerbergen and W. Michiels
    An Arnoldi method with structured starting vectors for the delay eigenvalue problem
    Proceedings of the 9th IFAC Workshop on Time Delay Systems, Prague, June 7-9, 2010
    [conference] [preprint] [paper
  5. E. Jarlebring and W. Michiels
    Invariance properties in the root sensitivity of time-delay systems with double imaginary roots
    Proceedings of the 8th IFAC Workshop on Time-Delay Systems, Sinaia, 2009
    [conference] [preprint] [paper
  6. E. Jarlebring
    On Critical Delays for Linear Neutral Delay Systems
    Proceedings of the European Control Conference, 2-5 July 2007
    [conference] [preprint] [abstract
  7. E. Jarlebring
    Computing the Stability Region in Delay-space of a TDS using Polynomial Eigenproblems
    Proceedings of the 6th IFAC Workshop on Time-Delay Systems, 2006
    [conference] [preprint] [paper
  8. E. Jarlebring
    Computing Critical delays for time delay systems with multiple delays
    Reglermöte, Stockholm, 2006, May 30-31
    [conference] [preprint
  9. E. Jarlebring
    A quadratic eigenproblem in the analysis of a time delay system
    Proceedings of GAMM Annual Meeting, Berlin, 2006
    [conference] [preprint] [paper

Thesis

  • E. Jarlebring
    The spectrum of delay-differential equations: numerical methods, stability and perturbation.
    PhD thesis, Inst. Comp. Math, TU Braunschweig, 2008
    [pdf] [bibtex] [Genealogy entry] [Zbl]

Recent and upcoming conferences and seminars

  • A numerical method for a waveguide eigenvalue problem
    Householder Symposium XIX on numerical linear algebra, Spa, Belgium, June 8-13, 2014
    [conference
  • The Infinite Arnoldi Method and Implicit Restarting for Nonlinear Eigenvalue Problems with Low Rank
    Manchester Workshop on Nonlinear Eigenproblems, April 23-25, 2014
    [conference] [abstract
  • Block iterations for eigenvector nonlinearities
    Enumath Conference 2013, Lausanne, Switzerland, August 26-30, 2013
    [conference
  • Block iterations for eigenvector nonlinearities
    International Linear Algebra Society 2013 Meeting, RI, USA, June 3-7, 2013
    [conference
  • Inverse iteration for eigenvalue problems with eigenvector nonlinearities
    The Axel Ruhe Conference in Numerical Linear Algebra: Theory, Algorithms and Applications, KTH, Stockholm, May 24, 2013
    [conference
  • An open problem for spectral-norm estimation in matrix function perturbation theory and its implication in quantum chemistry
    Advances in Matrix Functions and Matrix Equations, Manchester, April 10-12, 2013
    [conference
  • A generalization of inverse iteration for eigenvector nonlinearities
    Seminar at University of Manchester, U.K., November 12, 2012
  • On a generalization of inverse iteration for eigenvector nonlinearities
    SMC-NEGAA - Structured Matrix Computations in Non Euclidean Geometries: Algorithms and Applications, Oct. 8-12, 2012
    [conference
  • The infinite Arnoldi method for nonlinear eigenvalue problems
    Seminar at University of Manchester, U.K., June 11, 2012
  • On the condition number and perturbation of matrix functions with respect to unitarily invariant norms
    3rd IMA Conference on Numerical Linear Algebra and Optimisation, Birmingham, Sept. 10-12, 2012
    [conference] [abstract
  • A restarting technique for the infinite Arnoldi method
    SIAM Conference on Applied Linear Algebra, Valencia, June 18-22, 2012
    [conference] [abstract
  • A linear eigenvalue algorithm for nonlinear eigenvalue problems
    Seminar at University of Oxford, U.K., May 24, 2012
  • Recent advances in numerical methods for eigenvalue problems
    Seminar at Kungl. Tekniska Högskolan, DqF seminar, February 17, 2012
  • Numerical methods for nonlinear eigenproblems and associated problems
    Seminar at Centre for Interdisciplinary Mathematics, Uppsala University and KCSE Seminar, KTH, November 30, 2011 and February 29, 2012
    [abstract
  • On a linear eigenvalue algorithm for nonlinear eigenvalue problems
    Seminar at MOPNET: EPSRC Matrix and Operator Pencil Network, University College London, Sept. 12-13, 2011, invited talk
    [conference
  • Invariant pairs associated with the infinite Arnoldi method for nonlinear eigenvalue problems
    ILAS Conference - Pure and applied linear algebra, Aug. 22-26, 2011
    [conference
  • A linear eigenvalue algorithm for the nonlinear eigenvalue problem
    GAMM Annual Meeting, Graz, April 18 - 21, 2011, In minisymposium nonlinear and structured eigenvalue problems
    [conference
  • Solving Nonlinear Eigenvalue Problems with a Linear Arnoldi Method in a Function Setting and a Characterization of Associated Invariant Pairs
    Householder Symposium XVIII, Granlibakken, CA, USA, 12-17 June 2011
    [conference
  • The infinite Arnoldi method for nonlinear eigenvalue problems
    Seminar at Universität Tübingen, Germany, March 3, 2011

Other documents

  • E. Jarlebring, E. H. Rubensson
    On the condition number and perturbation of matrix functions for Hermitian matrices
    See also this note, 2012
    [preprint
  • E. Jarlebring
    Some Numerical Methods to Compute the Eigenvalues of a Time-Delay System Using Matlab
    The delay e-letter, issue 2, April 2008.
    [pdf] [e-letter]
  • E. Jarlebring
    Some Numerical Methods to Compute the Eigenvalues of a Time-Delay System Using Matlab
    The delay e-letter, issue 2, April 2008.
    [pdf] [e-letter]
  • E. Jarlebring
    Krylov methods for nonlinear eigenvalue problems
    Master's thesis, Royal Institute of Technology, 2003