Biography

I am a professor in numerical analysis of the department of mathematics, KTH, Stockholm. My research is focused on numerical analysis, numerical linear algebra, matrix computations, and scientific computing. I develop linear algebra algorithms to solve problems from various fields in science and technology, in particular, systems and control, acoustics, electromagnetics, data science, quantum mechanics and quantum chemistry. I am a developer of NEP-PACK which is a scientific computing software package for nonlinear eigenproblems.

Book

Preconditioning for linear systems, G. Mele and E. Ringh and D. Ek and F. Izzo and P. Upadhyaya and E. Jarlebring, KD Publishing, 2020: order from amazon or visit web page

Academic history

• 2021-20XX - Full professor
• 2013-2021 - Associate professor with tenure, KTH, Stockholm (docent and lektor)
• 2011-2013 - Dahlquist research fellow, KTH, Stockholm
• 2008-2011 - Post-doc, K.U. Leuven, Belgium
• 2004-2008 - PhD, TU Braunschweig, Germany [Genealogy]
• 2003-2004 - Computer Programmer, Stockholm
• 1998-2003 - Master of science (teknisk fysik), KTH, Stockholm
• 1998 - Forsmark computer science gymnasium

Awards and grants

• 2019 - Project grant, Swedish research council
• 2019 - Ruth och Nils-Erik Stenbäcks foundation, junior grant
• 2014 - Göran Gustafsson Prize for junior researchers
• 2014-2018 - Project grant for junior researchers, Swedish research council
• 2013 - Göran Gustafsson Grant for research visitors
• 2011 - Dahlquist research felllowship, KTH

Supervision / mentorship

• Vilhelm Peterson Lithell (PhD student 2024 - )
• Gustaf Lorentzon (PhD student 2024 - )
• Siobhán Correnty (PhD student 2019 - 2024)
• Parikshit Upadhyaya (PhD student 2016 - 2022)
• Emil Ringh (PhD student 2015 - 2021)
• Antti Koskela (post-doc 2014 - 2015, later Dahlquist fellow)
• Giampaolo Mele (PhD student 2014 - 2020)

Selected research interests

• Numerical linear algebra ^[?]
  • Nonlinear eigenvalue problems
  • Multiparameter eigenvalue problems
  • Krylov methods
  • Arnoldi’s method
  • Inverse iteration
  • Newton-type methods
  • Iterative methods for graphs
  • Matrix equations
  • Matrix functions
  • Model reduction
  • Convergence of iterative methods
• Computational solutions for systems and control
  • Computational methods for time-delay systems
  • Balancing and balanced truncation for time-delay systems
  • ℋ₂ norm
  • Eigenvalues for time-delay systems
  • Stability and stability margin
  • Optimization
  • Model reduction
• Eigenproblems in quantum mechanics
  • Perturbation theory (ab initio)
  • Self-consistent field iteration
  • Schrödinger equation: Gross-Pitaevskii equation
  • Schrödinger equation: Kohn-Sham equation

Memberships, community and service

• Editor of BIT Numerical mathematics
• Editor of Linear and Multilinear algebra
• Editor of NACO numerical algebra control and optimization
• Editor of CALCOLO
• Scientific organization committee - ILAS - international linear algebra society
• International Programme Committee member IFAC TDS
• SeRC Swedish e-Science Research Centre - numerical analysis community
• SIAM
• ILAS - International linear algebra society
• GAMM Activity group numerical linear algebra
• Nordic numerical linear algebra association
• KTH Recruitment committee (science school): panel member
• Swedish e-science graduate education (SeSE) - Director of studies (2015-2018)
• NA-seminar series coordinator: seminars 2013-2016.
• COST action European Model Reduction Network - swedish representative in management committee
• Julialang and open source fan
• Contributor to open source projects, e.g., core developer of NEP-PACK

• Matrix Computations for Large-scale Systems: SF2524 (2014-2023,..)
• Numerical algorithms for data science: SF2526 (2018-2022)
• Numeriska metoder för CDATE (computer science): SF1547: 2017-2020
• Preconditioning for linear systems of equations SF3584 (canvas page: here
• Numeriska metoder för S: SF1514 (2014-2015)
• Numerical linear algebra (PhD level course) (2014,2016,2018,2020,2022,...)
• Director of studies of COSSE
• Director of studies of graduate school SeSE
• Director of studies of international master's programme COSSE (2021-20XX)
• Track responsible for computational mathematics of the master's programme (2021-20XX)
• Master's thesis coordinator of the numerical analysis group (2022,..)
• Bachelor thesis coordinator of the numerical analysis group (2018-2022)

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

6. E. Jarlebring and V. P. Lithell
   From eigenvector nonlinearities to eigenvalue nonlinearities
   2025
   [preprint] 
5. E. Jarlebring and G. Lorentzon
   The polynomial set associated with a fixed number of matrix-matrix multiplications
   submitted, 2025
   [preprint] [software] 
4. F. Meli, J. Tell, S. Piroti, T. Zanouda, E. Jarlebring
   Deep learning on graphs for mobile network topology generation
   2025
   [preprint] 
3. R. Vinuesa, J. Rabault, H. Azizpour, S. Bauer, B. W. Brunton, A. Elofsson, E. Jarlebring, H. Kjellstrom, S. Markidis, D. Marlevi, P. Cinnella, S. L. Brunton
   Opportunities for machine learning in scientific discovery
   submitted, 2024
   [preprint] 
2. P. Upadhyaya, E. Jarlebring, F. Tudisco
   The self-consistent field iteration for p-spectral clustering
   arxiv preprint, 2021
   [preprint] 
1. E. Jarlebring, M. Bennedich, G. Mele, E. Ringh, P. Upadhyaya
   NEP-PACK: A Julia package for nonlinear eigenproblems
   arxiv preprint, 2018
   [preprint] [software] 

Journal Papers (published or accepted for publication)

41. H. Gravenkamp, B. Plestenjak, D. A. Kiefer, E. Jarlebring
    Computation of leaky waves in layered structures coupled to unbounded media by exploiting multiparameter eigenvalue problems
    Journal of Sound and Vibration, 596:118716, 2025
    [preprint] [paper] 
40. P. Henning and E. Jarlebring
    The Gross-Pitaevskii equation and eigenvector nonlinearities: Numerical methods and algorithms
    SIAM Review, accepted for publication, available upon request, 2025
    
39. E. Jarlebring and J. Sastre and J. Javier Ibáñez González
    Polynomial approximations for the matrix logarithm with computation graphs
    accepted for publication in Linear Alg. Applications, 2025
    [preprint] 
38. S. Correnty, E. Jarlebring, D. Szyld
    Preconditioned Chebyshev BiCG for parameterized linear systems
    Electronic Transactions on Numerical Analysis (ETNA), 58:642--656, 2023
    [preprint] [paper] 
37. S. Correnty, E. Jarlebring, K. M. Soodhalter
    Preconditioned infinite GMRES for parameterized linear systems
    SIAM J. Sci. Comput., accepted for publication:S120-S141, 2023
    [preprint] [paper] [software] 
36. E. Jarlebring, M. Fasi, E. Ringh
    Computational graphs for matrix functions
    ACM Trans. Math. Software., 48:1--35, 2022
    [preprint] [paper] [software] 
35. R. Claes, E. Jarlebring, K. Meerbergen, P. Upadhyaya
    Linearizability of eigenvector nonlinearities
    SIAM J. Matrix Anal. Appl., 43:764-786, 2022
    [preprint] [paper] 
34. E. Jarlebring and S. Correnty
    Infinite GMRES for parameterized linear systems
    SIAM J. Matrix Anal. Appl., 43:1382--1405, 2022
    [preprint] [paper] [software] 
33. E. Jarlebring and P. Upadhyaya
    Implicit algorithms for eigenvector nonlinearities
    Numerical algorithms, 90:301-321, 2022
    [preprint] [paper] 
32. E. Ringh and E. Jarlebring
    Nonlinearizing two-parameter eigenvalue problems
    SIAM J. Matrix Anal. Appl., 42:775--799, 2021
    [preprint] [paper] [software] 
31. P. Upadhyaya, E. Jarlebring, E. H. Rubensson
    A density matrix approach to the convergence of the self-consistent field iteration
    NACO Numerical Algebra Control Optimization., 11:99--115, 2021
    [preprint] [paper] 
30. E. Jarlebring
    Broyden's method for nonlinear eigenproblems
    SIAM J. Sci. Comput., 41:A989--A1012, 2019
    [preprint] [paper] [software] 
29. E. Jarlebring and F. Poloni
    Iterative methods for the delay Lyapunov equation with T-Sylvester preconditioning
    Appl. Numer. Math., 135:173-185, 2019
    [preprint] [paper] [software] 
28. E. Jarlebring, G. Mele, D. Palitta, E. Ringh
    Krylov methods for low-rank commuting generalized Sylvester equations
    Numer. Linear Algebra Appl., 25(6), 2018
    [preprint] [paper] [software] 
27. E. Ringh, G. Mele, J. Karlsson and E. Jarlebring
    Sylvester-based preconditioning for the waveguide eigenvalue problem
    Linear Algebra Appl., 542:441--463, 2018
    [preprint] [paper] [software] 
26. G. Mele and E. Jarlebring
    On restarting the tensor infinite Arnoldi method
    BIT numerical mathematics, 58:133-162, 2018
    [preprint] [paper] 
25. 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] 
24. E. Jarlebring, A. Koskela, and G. Mele
    Disguised and new quasi-Newton methods for nonlinear eigenvalue problems
    Numer. Algorithms, 79:311-335, 2018
    [preprint] [paper] [software] 
23. 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] 
22. 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] 
21. 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] 
20. 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] 
19. 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] 
18. 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] 
17. 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] 
16. 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] 
15. 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] 
13. E. Jarlebring
    Convergence factors of Newton methods for nonlinear eigenvalue problems
    Linear Algebra Appl., 436:3943-3953, 2012
    [preprint] [paper] [Zbl] 
12. 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] 
11. E. Jarlebring and W. Michiels
    Analyzing the convergence factor of residual inverse iteration
    BIT numerical mathematics, 51(4):937-957, 2011
    [preprint] [paper] [Zbl] 
10. 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] 
9. S. Kvaal, E. Jarlebring and W. Michiels
   Computing singularities of perturbation series
   Phys. Rev. A, 83:032505, 2011
   [preprint] [paper] 
8. 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] 
7. 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] 
6. 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] 
5. 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] 
4. 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] 
3. E. Jarlebring
   Critical delays and Polynomial Eigenvalue Problems
   J. Comput. Appl. Math., 224(1):296-306, 2009
   [preprint] [paper] [Zbl] 
2. 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] 
1. 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

• G. Mele, E. Ringh, D. Ek, F. Izzo, P. Upadhyaya, E. Jarlebring
  Preconditioning for linear systems
  2020, http://www.preconditioning.se
  
• M. Diehl, F. Glineur, E. Jarlebring and W. Michiels (editors)
  Recent Advances in Optimization and its Applications in Engineering
  Springer, 2010, ISBN:3642125972
  [publisher] 

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

10. A. Koskela, E. Jarlebring
    On a generalization of the Bessel function Neumann expansion
    European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017, 126:205-214, 2019, See also long version http://arxiv.org/pdf/1502.01613
    [preprint] [paper] 
9. 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] 
8. 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] 
7. 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, 2010, June 7-9, 2010
   [conference] [preprint] [paper] [abstract] 
6. 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, 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] 
4. E. Jarlebring
   On Critical Delays for Linear Neutral Delay Systems
   Proceedings of the European Control Conference, 2007, 2-5 July 2007
   [conference] [preprint] [abstract] 
3. 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] 
2. E. Jarlebring
   Computing Critical delays for time delay systems with multiple delays
   Reglermöte, Stockholm, 2006, May 30-31
   [conference] [preprint] 
1. 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]

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

See my twitter feed.

Tweets by Elias

• eliasjkth.se
• +46 8 790 6694
• KTH - Dept. Math, Numerical analysis group, Lindstedtsvägen 25, room 3553, floor 5, 100 44 Stockholm, Sweden