Curriculum vitæ
Dr. habil. Bernhard Beckermann
Date and place of birth: Oct 17, 1961 in Lohne, Federal Republic of Germany
Citizenship: german
married, three children
Actual position: Full Professor at the Laboratoire Painlev´e UMR 8524, UFR Math´ematiques – M3, UST Lille
59655 Villeneuve d’Ascq CEDEX, France Phone office: +33 3 20 43 45 62
Electronic address: [email protected], URLhttp://math.univ-lille1.fr/∼bbecker/
Research interests:
• Numerical linear algebra and logarithmic potential theory: singular values of structured matrices, functions of matrices, superlinear convergence of the conjugate gradient method, applications.
• Constructive approximation in the complex plane: difference operators, Jacobi matrices, convergence of rational approximants, applications to discrete dynamical systems and crack detection.
• Numerics, computer algebra: look-ahead methods, semi-numerical computations, computation of matrix-valued rational approximants, fraction–free computations, normal forms, implementation in Maple.
Education:
M.S. (“Diplom”) in Mathematics, Universit¨at Hannover, Germany (1987).
Ph.D. (“Dr. rer. nat.”) in Mathematics, Universit¨at Hannover, Germany (1989).
Habilitation in Mathematics, Universit¨at Hannover, Germany (1996).
Awards:
10/87 – 10/89 : Scholarship (“Graduiertenf¨orderung”) of the Region of Lower Saxony, Germany.
1990 : Award “Wissenschaftspreis Hannover”.
1996 – 2012 : Grant PEDR, minister of higher education, France.
Employment history:
7/80 – 9/81 : military service.
10/83 – 7/87 : Tutor (“Wissenschaftliche Hilfskraft”), Institut f¨ur Angewandte Mathematik, Univer- sit¨at Hannover, Germany.
9/87 – 1/88 : Lecturer, Fachhochschule Nordost-Niedersachsen, Fachbereich Bauingenieurwesen, Sud- erburg, Germany.
1/90 – 8/93 : Lecturer (“Wissenschaftlicher Mitarbeiter”), Institut f¨ur Angewandte Mathematik, Uni- versit¨at Hannover, Germany.
2/92 – 7/92 : Visiting assistant professor (“Maˆıtre de Conf´erences invit´e”), Universit´e de Toulon et du Var, France.
9/93 – 8/06 : Assistant professor (“Maˆıtre de Conf´erences”), Laboratoire d’Analyse Num´erique et d’Optimisation (now Laboratoire Painlev´e UMR 8524), Universit´e des Sciences et Technologies de Lille, France.
since 9/06 : Associate professor (“Professeur des Universit´es”), Laboratoire de Math´ematiques Painlev´e UMR 8524, Universit´e des Sciences et Technologies de Lille, France. Full professor since 9/10.
Principal academic visits: (since 1998)
Keldeysh Institute, Russian Academy of Sciences, Moscow, and Technical State University of Nishnii Novgorod, Russia (1998, two weeks).
Technische Universit¨at Bergakademie Freiberg, Germany (1998, two weeks).
Universidad de Almer´ıa, Spain (1999, two weeks).
MU L¨ubeck and Universit¨at Kiel, Germany (2000, two weeks).
KU Leuven, Belgium (2001, two weeks).
Steklov Institute, Russian Academy of Sciences, Moscow, and Technical State University of Nishnii Novgorod, Russia (2002, two weeks).
University of Waterloo, Ontario, Canada (2002, four weeks).
KU Leuven, Belgium(2002, two weeks).
Universit`a dell’Insubria, Como, Italy (2003, one week).
University of Stanford, California (2005, one week).
Steklov Institute, Russian Academy of Sciences, Moscow, Russia (2006, one week).
Technische Universit¨at Bergakademie Freiberg, Germany (2007, two weeks, 2010, one week).
Universit´e de Gen`eve (2010), Switzerland (2010, one week).
Texas Southern University, Houston, Texas (2011, one week).
EPF Lausanne, Switzerland (2011, one week, 2013, one week).
KIT Karlsruhe, Germany (2014, one week).
Invited talks in mathematical seminars: (since 1998)
Steklov Institut in Moscow, Universit¨at GH Paderborn, TU Chemnitz, TU Bergakademie Freiberg, INRIA Sophia Antipolis (1998). Universidad de Almeria, Universidad de Granada, Universit´e de Bourgogne in Dijon (1999). Universit´e du Littoral, MU L¨ubeck, Universit¨at Kiel (2000). INRIA Sophia Antipolis, Universit´e de Valenciennes, Universit´e de Rennes (2001). Institute of Numerical Mathematics (INM) of the Russian Academie of Sciences, Moscow(2002). Universit¨at Hannover (2003).
University of Stanford (2005). Universit¨at Trier, Steklov Institut and INM in Moscow, Universit´e de Fribourg (2006). TU Bergakademie Freiberg (2007), ETH Z¨urich (2008). INRIA Rocquencourt, ENS Lyon (2009), TU Bergakademie Freiberg, Universit´e de Gen`eve (2010), KU Leuven, EPF Lausanne (2011), Universit´e Bordeaux, KU Leuven (2012), Universidad Carlos III, Madrid (2013), Universit¨at Innsbruck (2014).
Talks at scientific conferences: (since 2000)
Conference “Workshop Orthogonal Polynomials”, Inzell, Conference “ICCAM”, Leuven, Confer- ence “Matrix iterative analysis and biorthogonality”, Luminy (2000). Conference “Approximation and Optimization in the Caribbean”, Guatemala City, Conference “Computational Methods and Function Theory”, Aveiro, Conference “Numerical algorithms”, Marrakesh (2001). Conference “Latzis Sym- posium Conjugate Gradients”, Z¨urich, Meeting INTAS, Coimbra, Conference “GAMM–Workshop Bielefeld” (2002). Meeting INTAS, Moscou, Conference “Orthogonal polynomials and special func- tions”, Kopenhague (2003). Lecture at summer school “Orthogonal polynomials and applications”, Madrid, Conference “Structured Numerical Linear Algebra Problems”, Cortona (2004). Confer- ence “CIMMA05”, Almeria, Conference “SMAI’05”, Evian, Meeting INTAS, Nishnii Novgorod et Moscou, “Journ´ee Scientifique AFA”, Paris (2005), “Journ´ees matrices structur´ees”, Limoges, Confer- ence ”Applied Linear Algebra”, D¨usseldorf, Conference “ICNAAM”, Crete (2006). Conference “Or- thogonal polynomials and special functions”, Marseille, Conference “Computational Methods with Applications”, Harrachov, Conference “Matrix Analysis and Applications”, Luminy (2007). Con- ference “Foundations of Computational Mathematics”, Honkong, Conference “Structured Matrices”, Cortona, Conference “Approximation, Mod´elisation G´eom´etrique et Applications”, Luminy, Confer-
ence “Rolling Waves”, Leuven, (2008), Conference “Orthogonal polynomials and special functions”, Leuven, Conference “Approximation and Extrapolation”, Luminy (2009). Conference “Jaen Con- ference on Approximation Theory”, Ubeda Meeting “Ecole d’Analyse”, Le Touquet (2010), Con- ference “Foundations of Computational Mathematics”, Budapest, Conference “Orthogonal polyno- mials and special functions”, Madrid, Conference “Scientific Computing”, Sardinia (2011), Con- ference “Structured Matrix Days”, Limoges, Conference “Workshop on Potential Theory and Ap- plications”, Szeged, Conference “SIAM Conference on Applied Linear Algebra”, Valencia, Confer- ence “Structured Matrix Computations in Non Euclidean Geometries”, Luminy, Conference “Signal, Image, G´eom´etrie, Mod´elisation et Approximation”, Luminy (2012). Conference “Bi-annual meet- ing of spanish mathematical society”, Santiago de Compostela, Conference “Orthogonal polynomi- als and special functions”, Sousse, Conference “Advances in Matrix Functions and Matrix Equa- tions”, Manchester, Workshop on “Matrix Equations and Tensor Techniques”, Lausanne, Confer- ence “Math´ematiques Nord Pas de Calais - Belgique”, Valenciennes (2013). Conference “ORTHO- QUAD”, Canary Islands, Conference “Constructive Functions 2014”, Nashville, ALAMA-ANLA meet- ing on linear algebra, Barcelona (2014).
Conference organization:
• Journ´ee Approximation, Meeting Universit´e de Lille, March 16, 2000.
• Numerical Algorithms, Conference Marrakech, Morroco, Oct 1–5, 2001.
• Deuxi`eme Journ´ee Approximation, Meeting Universit´e de Lille, March 25, 2004.
• Quelques Applications des math´ematiques, Meeting on industrial applications of mathematics, Lille, Jan 27, 2005.
• Special session Approximation, Special Functions and Numerical Analysis at the International Mediterranean Congress of Mathematics Almer´ıa 2005, University of Almer´ıa, June 6-11, 2005.
• SessionAnalyse num´erique et Approximation,SMAI 2005, Evian, June 20-25, 2005.
• Les M´etiers des math´ematiques, Meeting on job offers in mathematics, Lille, Dec 8, 2005.
• Transgressive Computation, Conference Granada, April 24-26, 2006 (scientific committee).
• Constructive Complex Approximation, Conference INTAS, Universit´e de Lille, 27-30 Mai, 2006.
• Approximation et M´ethodes It´eratives, Conference Universit´e de Lille, April 22-23, 2006
• Orthogonal polynomials, special functions and applications (OPSFA XI), Conference CIRM, July 2-6, 2007 (scientific committee).
• Troisi`emes Journ´ees Approximation, Meeting Universit´e de Lille, May 15-16, 2008.
• Approximation, Mod´elisation G´eom´etrique et Applications, Conference CIRM, Nov 24-28, 2008.
•Orthogonal polynomials, special functions and applications (OPSFA X), Conference Madrid, Septem- ber 2011 (scientific committee).
• Scientific Computing 2011, Conference S. Margherita di Pula, Sardinia, October 10-14, 2011 (scien- tific committee and organization of session).
• Journ´ee Scientifique SMAI-SIGMA, Annual meeting of the SMAI activity group, Paris VI, Nov 18, 2011.
• Quatri`emes Journ´ees Approximation, Meeting Universit´e de Lille, June 28-29, 20012.
• Signal, Image, G´eom´etrie, Mod´elisation et Approximation, Conference CIRM, Nov 12-16, 2012 (sci- entific committee).
• Orthogonal polynomials, special functions and applications (OPSFA XI), Conference Sousse, March 25-29, 2013 (scientific committee).
• Ecole de printemps sur les fonctions de matrices, Meeting Universit´e de Lille, May 15-17, 2013.
• Les M´etiers des math´ematiques, Meeting on job offers in mathematics, Lille, Dec 11, 2013.
• Joint ALAMA-ANLA meeting on linear algebra, Conference Barcelona, July 14-16, 2014 (scientific committee).
• Les M´etiers des math´ematiques, Meeting on job offers in mathematics, Lille, Jan 29, 2015.
• Signal, Image, G´eom´etrie, Mod´elisation et Approximation, Conference CIRM, Nov 2016 (scientific committee).
Member of editorial board of the following international journals :
• “CALCOLO - A Quarterly on Numerical Analysis and Theory of Computation” (since 2013),
• “ETNA - Electronic Transactions on Numerical Analysis” (since 2013).
Graduate student supervision:
• PhD students: E. Bourreau (started 9/96, defense 5/02), H. Zourhlal (started 9/97, stopped 7/99), M. Inglart (started 9/01, stopped 7/06), A. Gryson (started 9/06, defense 7/09). T. Helart (started 9/13).
•Co-supervision PhD students: A. Kononova and M. Lapik, in the frame of the french-russian exchange program “Formation Recherche”, D. Liu (started 9/07, defense 10/11), co-supervision with O. Gibaru
& W. Perruquetti.
• Master thesis (“m´emoire de DEA/M2”): D. Brocard (2/95–6/95), E. Bourreau (2/96–6/96), H.
Zourhlal (2/97–6/97), R. Harmouani (2/02–9/02), M. Ali Abdouramane (2/07-6/07), J. Daquin (2/11–
9/11), T. Helart (2/13-7/13).
•Supervision of numerous projects (first and second year of Master) and training courses in a company (Airbus France M´eaulte, Cr´edit Agricole, FINAREF, ALTAO, VELVET,...).
Member PhD committees:
Olivier Renault (Universit´e de Lille 1, 1996), Fr´ed´eric Mandr´ea (referee, Universit´e de Nice, 2001), Mirta Castro Smirnova (referee, Universidad de Sevilla, 2002), Emmanuel Bourreau (Universit´e de Lille 1, 2002), Octave Moutsinga (Universit´e de Lille 1, 2003), Reinhold K¨ustner (referee, Univer- sit´e de Nice, 2003), Jonathan Coussement (KU Leuven, 2005), Christophe Roland (Universit´e de Lille 1, 2005), Paola Boito (referee, Scuola Normale Superiora, Pisa, 2007), Mouhamad Al Sayed Ali (referee, Universit´e de Brest, 2007), H´edi Joulak (Universit´e de Lille 1, 2007), Philippe Auquiert (Universit´e Valenciennes, 2007), Alexis Gryson (Universit´e de Lille 1, 2009), Xianglan Yang (Univer- siteit Antwerp, 2009), Sylvain Chevillard (ENS Lyon, 2009), Martine Olivi (HDR, referee, Universit´e de Nice, 2010), Dayan Liu (Universit´e de Lille 1, 2011), Lamia Abbas (INSA Rouen, 2012), Allan Per¨am¨aki (Altao University, Helsinki, 2012), Rola El-Moallem (Universit´e de Lille 1, 2013), Gr`ece El Koury (referee, Universit´e de Brest, 2014), Tanja G¨ockler (referee, KIT, Karlsruhe, 2014), Laurent Gajny (ENSAM Lille, 2015).
Referee for research agencies:
ANR (french agency of research), NFS (US agency of research), FWO (belgium agency of research, Flanders), FNRS (belgium agency of research, french part), KU Leuven excellence research grant, University of Crete excellence research grant.
Referee for scientific journals:
Numerische Mathematik, J. Comput. Applied Mathematics, SIAM J. Matrix Anal. Appl., SIAM J. Numer. Anal., SIAM J. Sci. Comp., Numer. Algo., Constr. Approx., J. Approx. Theory, Appli- candæ Mathematicæ, Transactions on Mathematical Software, Linear Alg. Appl., Proc. Edinburgh Math. Soc., Proc. A Royal Soc., J. Math. Anal. Appl., ETNA, Mediterranean J. of Math., Intern. J. of Control, Math. Comp., Journal CMFT, BIT Numer. Math., Linear and Multilinear Algebra, GAMM Mitteilungen, Topics in Functional and Harmonic Analysis, ISSAC Proceedings.
Research projects with financial support: (since 1997)
•French-russian training network “R´eseau Formation Recherche” (Moscow, Nishnii Novgorod, Russia
– Rouen, Toulon, Lille, France) 1997–2000 and 2001-2005.
• French-german-russian university network (Moscow, Nishnii Novgorod, Russia – L¨ubeck, Hannover, Germany – Rouen, Lille, France), 2001–2003.
• French-Flanders bilateral programm Tournesol “Iterative methods in scientific computing: conver- gence analysis and applications” (Leuven – Lille), 2002 and 2003.
• “Rational approximation”, Research project INTAS 2000-272 of the European Union (Leuven, Bel- gium – Moscow, Nishnii Novgorod, Russia – Madrid, Granada, Spain – Coimbra, Portugal – Berlin, Germany – Lille, France), 2001-2004.
• “Constructive Complex Approximation”, Research network INTAS 03-51-6637 of the European Union (Leuven, Belgium – Moscow, Nishnii Novgorod, Russia – Kharkov, Ukraine – Madrid, Granada, Spain, Coimbra, Portugal – Szeged, Hungria – Berlin, Germany – Lille, France), 2004-2007.
• Summer school network “Orthogonal polynomials and special functions”, Sokrates/Erasmus (Linz, Leuven, Aachen, Kopenhague, Madrid, Almeria, Lille, Patras, Aveiro, Porto), 2002-2004.
• “Density functionals of quantum mechanical systems and theory of special functions” (Granada, Almeria, Leuven, Lille), Research project of the Ministerio de Ciencia y Tecnologa (MCYT), Spain, 2002-2005.
Head of different teaching programs:
• 7/1999-6/2005: in charge of the second year Master/DEA program “Math´ematiques Appliqu´ees”
(15 students in 2000, 24 in 2001, 15 in 2002, 15 in 2003, 14 in 2004) since its creation in 1999. This university program federates teachers and researchers from three universities in France (USTL, ULCO, UVHC), see http://math.univ-lille1.fr/∼bbecker/ano/deaMA
• 7/1999-6/2005: head of graduate studies committee in Applied Mathematics, Lille.
• 9/2005-6/2010: in charge of the first year Master program “Ing´enierie Math´ematique” (17 students in 2005, 27 in 2006, 37 in 2007, 50 in 2008, 30 in 2009) in Lille, seehttp://ufr-math.univ-lille1.fr rubrique “formations”.
Administrative committees:
• Member of steering committee “Laboratoire de Math´ematiques Appliqu´ees” (2001–2003).
• Member of steering committee “Axe Math´ematiques”, UST Lille (2001–2006).
• Member of the mathematics department affairs committee (since 2007).
• Head of the committee for teaching evaluation at math department (2012).
• Member of applied mathematics hiring committees (“commissions de sp´ecialistes”): Universit´e Grenoble (1998-2001), Universit´e Littoral (1998-2001), Universit´e Lille 1 (1995-1997, 2001-2007).
• Member of applied mathematics hiring committees (“comit´es de s´election”): INSA Rouen (2009, 2010, 2011, 2014), Universit´e de Lille 1 (2009 en tant que pr´esident, 2010, 2011, 2014 en tant que pr´esident), Universit´e du Littoral (2013).
• Member of steering committee SMAI-SIGMA.
Lezennes, February 2, 2015
Publications
Papers in mathematical journals with referee process (65)
1. B. Beckermann, A.C. Matos: Algebraic properties of robust Pad´e approximants, to appear in J.
Approx. Theory (2014).
2. B. Beckermann, M. Crouzeix: Faber polynomials of matrices for non-convex sets, Jaen J. Approx. 6 (2014) 219-231.
3. B. Beckermann, J. Bustamante, R. Martinez-Cruz & Jose M. Quesada : Gaussian, Lobatto and Radau positive quadrature rules with a prescribed abscissa, Calcolo51(2014) 319-328.
4. B. Beckermann, D. Kressner, Ch. Tobler: An error analysis of Galerkin projection methods for linear systems with tensor product structure, SIAM J. Num. Anal. 51(2013) 3307-3326.
5. B. Beckermann, V. Kalyagine, A.C. Matos, F. Wielonsky: Equilibrium problems for vector potentials with semidefinite interaction matrices and constrained masses, Constr. Approx. 37(2013) 101-134.
6. B. Beckermann, D. Bessis, L. Perotti, D. Vrinceanu: Computing high precision Matrix Pad´e approxi- mants, Numerical Algorithms 61 (2012) 189-208.
7. B. Beckermann : An error analysis for rational Galerkin projection applied to the Sylvester equation, SIAM J. Num. Anal. 49(2012), 2430-2450.
8. B. Beckermann, S. Guettel: Superlinear convergence of the rational Arnoldi method for the approxi- mation of matrix functions, Numer. Mathematik 121(2012), 205-236.
9. B. Beckermann, V. Kalyagine, A.C. Matos, F. Wielonsky: How well does the HermitePad´e approxi- mation smooth the Gibbs phenomenon ? Math. Comp. 80(2011), 931-958.
10. B. Beckermann, M. Derevyagin, A. Zhedanov, The linear pencil approach to rational interpolation,J.
Approx. Theory 162 (2010) 1322-1346.
11. B.Beckermann, S. Guettel, R. Vandebril, On the convergence of rational Ritz values, SIAM J. Matrix Anal. Applics. 31(2010) 1740–1774.
12. B. Beckermann, L. Reichel, Error estimation and evaluation of matrix functions via the Faber trans- form, SIAM J. Num. Anal. 47(2009) 3849-3883.
13. B. Beckermann, A. Gryson, Extremal rational functions on symmetric discrete sets and superlinear convergence of the ADI method, Constr. Approx. 32(2010) 393-428.
14. C. Badea, B. Beckermann, M. Crouzeix, Intersections of several disks of the Riemann sphere as K- spectral sets,Commun. Pure Appl. Anal. 8(2009) 37–54.
15. H. Joulak, B. Beckermann, On Gautschi’s conjecture for generalized Gauss-Radau and Gauss-Lobatto formulae, J. Comput. Appl. Math. 233 (2009) 768-774.
16. B. Beckermann, L. Reichel, The Arnoldi process and GMRES for nearly symmetric matrices, SIAM J. Matrix Anal. Appl. 30 (2008) 102-120.
17. B. Beckermann, A.C. Matos, F. Wielonsky, Reduction of the Gibbs phenomenon for smooth functions with jumps by the -algorithm,J. Comput. Appl. Math. 219 (2008) 329-349.
18. B. Beckermann, M. Crouzeix, Operators with numerical range in a conic domain, Archiv der Mathe- matik88 (2007) 547-559.
19. B. Beckermann, S. Serra Capizzano, On the asymptotic spectrum of Finite Element matrix sequences, SIAM J. Numer. Anal. 45(2007) 746-769.
20. B. Beckermann, G. Golub, G. Labahn, On the numerical condition of a generalized Hankel eigenvalue problem, Numer. Mathematik106 (2007) 41-68.
21. B. Beckermann, Discrete orthogonal polynomials and superlinear convergence of Krylov subspace methods in numerical linear algebra, in Orthogonal Polynomials and Special Functions, F. Marcellan, W. Van Assche (Eds.), Lecture Notes in Mathematics1883, Springer Verlag (2006), 119-185.
22. B. Beckermann, M. Crouzeix, A lenticular version of a von Neumann inequality,Archiv der Mathematik 86 (2006) 352-355.
23. B. Beckermann, Image num´erique, GMRES et polynˆomes de Faber, C. R. Acad. Sci. Paris, Ser. I 340 (2005) 855-860.
24. B. Beckermann, S.A. Goreinov, E.E. Tyrtyshnikov : Some remarks on the Elman estimate for GMRES, SIAM J. Matrix Anal. Appl. 27(2006) 772-778.
25. B. Beckermann, H. Cheng, G. Labahn : Fraction-free Row Reduction of Matrices of Ore Polynomials, J. Symbolic Computation 41(2006) 513-543.
26. B. Beckermann, J. Coussement, W. Van Assche : Multiple Wilson and Jacobi-Pi˜neiro polynomials,J.
Approx. Theory 132(2005) 155-181.
27. B. Beckermann, A. Martinez, E. Rakhmanov, F. Wielonsky : Asymptotic upper bounds for the entropy of orthogonal polynomials in the Szeg˝o class,J. Math. Physics 45(2004) 4239-4254.
28. C. Roland, B. Beckermann, C. Brezinski : Altman’s methods revisited, Applicationes Mathematicæ 31 (2004) 353-368.
29. B. Beckermann, M. Castro, On the determinacy of complex Jacobi matrices,Math. Scand. 95(2004), 285-298.
30. B. Beckermann, A. Osipov, Some spectral properties of infinite band matrices,Numerical Algorithms 34 (2003) 173-185.
31. B. Beckermann, G. Labahn, G. Villard : Normal Forms for General Polynomial Matrices,J. Symbolic Computation 41(2006) 708-737.
32. B. Beckermann, A.B.J. Kuijlaars : Superlinear CG convergence for special right-hand sides, Electr.
Trans. Num. Anal. 14(2002) 1-19.
33. B. Beckermann, A.B.J. Kuijlaars : On the sharpness of an asymptotic error estimate for Conjugate Gradients, BIT41(2001), 856–867.
34. B. Beckermann, M. Castro, V. Kaliaguine : A recurrence relation connected to the convergence of vector S-fractions,East Journal on Approximations 7 (2001) 287-313.
35. B. Beckermann, A.B.J. Kuijlaars : Superlinear Convergence of Conjugate Gradients, SIAM J. Num.
Anal. 39(2001) 300-329.
36. B. Beckermann : Complex Jacobi matrices, J. Comput. Appl. Math. 127 (2001) 17-65.
37. B. Beckermann, G. Labahn : Fraction-free Computation of Matrix Rational Interpolants and Matrix GCD’s,SIAM J. Matrix Anal. Appl. 22(2000) 114-144.
38. B. Beckermann, G. Labahn : Numeric and symbolic computation of problems defined by structured linear systems, Reliable Computing 6(2000) 365-390.
39. B. Beckermann : On a conjecture of E.A. Rakhmanov,Constructive Approximation16(2000) 427-448.
40. B. Beckermann : The Condition Number of real Vandermonde, Krylov and positive definite Hankel matrices,Numer. Math. 85(2000) 553-577.
41. B. Beckermann : On the convergence of bounded J–fractions on the resolvent set of the corresponding second order difference operator, J. Approx. Theory99 (1999) 369-408.
42. B. Beckermann : On the classification of the spectrum of second order difference operators, Math.
Nachr. 216 (2000), 45-59.
43. B. Beckermann, E. Bourreau : How to choose modified moments? J. Comput. Appl. Math. 98(1998) 81-98.
44. B. Beckermann, G. Labahn : When are two numerical polynomials relatively prime? J. Symbolic Computation 26(1998) 677-689.
45. B. Beckermann, G. Labahn : A fast and numerically stable Euclidean-like algorithm for detecting relatively prime numerical polynomials. J. Symbolic Computation26(1998) 691-714.
46. B. Beckermann, V. Kaliaguine : The diagonal of the Pad´e table and the approximation of the Weyl function of second order difference operators, Constructive Approximation13(1997) 481-510.
47. P.R. Graves–Moris, B. Beckermann : The Compass (Star) Identity for Vector-valued Rational Inter- polants, Advances in Computational Mathematics 7 (1997) 279-294.
48. B. Beckermann, G. Labahn : Recursiveness in Matrix Rational Interpolation Problems, J. Comput.
Appl. Math. 77(1997) 5-34.
49. B. Beckermann : The stable computation of formal orthogonal polynomials,Numerical Algorithms11 (1996) 1-23.
50. B. Beckermann, C. Carstensen : QD–type algorithms for the non–normal Newton–Pad´e Approximation Table, Constructive Approximation12(1996) 307-330.
51. B. Beckermann, J. Gilewicz, E. Leopold : Recurrence relations with periodic coefficients and Chebyshev polynomials, Applicationes Mathematicæ23 (1995) 319-323.
52. G. Labahn, B. Beckermann, S. Cabay : Inversion of Mosaic Hankel Matrices via Matrix Polynomials, Lin. Alg. Applics. 221(1995) 253-279.
53. J. Wimp, B. Beckermann : Families of Two-point Pad´e Approximants and New 4F3(1) Identities, SIAM J. Math. Anal. 26 (1995) 761-773.
54. B. Beckermann, J. Gilewicz, V. Kaliaguine : On the definition and block structure of a general table of simultaneous Pad´e approximants,J. Approx. Theory 77(1994) 65-73.
55. J. Wimp, B. Beckermann : Some explicit formulas for Pad´e approximants of ratios of hypergeometric functions,WSSIAA 2 (1992) 427-434.
56. B. Beckermann, G. M¨uhlbach : A general determinantal identity of Sylvester’s type and some appli- cations,Lin. Alg. Applics. 197(1994) 93-112.
57. B. Beckermann, G. Labahn : A uniform approach for the fast computation of Matrix-type Pad´e approximants, SIAM J. Matrix Anal. Appl. 15 (1994) 804-823.
58. B. Beckermann, C. Carstensen : A reliable Modification of the Cross Rule for Rational Hermite Interpolation, Numerical Algorithms3 (1992) 29-44.
59. B. Beckermann, G. Labahn : A uniform approach for Hermite Pad´e and simultaneous Pad´e Approxi- mants and their Matrix-type generalizations, Numerical Algorithms 3 (1992) 45-54.
60. B. Beckermann, J. Wimp : Some Dynamically Trivial Mappings, with Applications to the Improvement of Simple Iteration, Computers & Mathematics with applications24(1992) 89-97.
61. S. Cabay, G. Labahn, B. Beckermann : On the Theory and Computation of Non-perfect Pad´e-Hermite Approximants,J. Comput. Appl. Math. 39(1992) 295-313.
62. B. Beckermann, C. Carstensen : Global Identities in the Non-Normal Newton-Pad´e Approximation table, J. Approx. Theory74(1993) 199-220.
63. B. Beckermann, A. Neuber, G. M¨uhlbach : Shanks’ transformation revisited, Lin. Alg. Applics. 173 (1992) 191-219.
64. B. Beckermann : A reliable method for computing M-Pad´e approximants on arbitrary staircases, J.
Comput. Appl. Math. 40 (1992) 19-42.
65. B. Beckermann : The Structure of the Singular Solution Table of the M-Pad´e Approximation Problem, J. Comput. Appl. Math. 32(1990) 3-15.
Chapters in books (1)
66. C. Badea, B. Beckermann : Spectral sets. Chapter in the Handbook for Linear Algebra, editors L.
Hogben et al. (2013), pp. 37.1-37.25.
Conference proceedings with referee process (7)
67. B. Beckermann, G. Labahn, Fraction-Free Computation of Simultaneous Pad´e Approximants, Pro- ceedings of ISSAC’09 Seoul, ACM Press (2009) 15-22.
68. B. Beckermann, H. Cheng, G. Labahn : Fraction-free row reduction of matrices of skew polynomials, Proceedings of ISSAC’02Lille, ACM Press (2002) 8-15.
69. B. Beckermann, E.B. Saff : On the sensitivity of least squares polynomial approximation, dans: Pro- ceedings of a Confererence on Orthogonal Polynomials, Oberwolfach, W. Gautschi e.a. (eds),Int. Ser.
of Num. Math. 131, Birkh¨auser, Basel (1999) 1-19.
70. B. Beckermann, G. Labahn, G. Villard : Shifted Normal Forms of Polynomial Matrices, Proceedings of ISSAC’99 Vancouver, ACM Press (1999) 189-196.
71. B. Beckermann, S. Cabay, G. Labahn : Fraction-free Computation of Matrix Pad´e Systems,Proceedings of ISSAC’97 Mau¨ı, ACM Press (1997) 125-132.
72. M. Van Barel, B. Beckermann, A. Bultheel, G. Labahn : Matrix rational interpolation with poles as interpolation points, Nonlinear Numerical Methods and Rational Approximation, (A. Cuyt ed.), Kluwer Academic Publishers, (1994) 137-148.
73. B. Beckermann : A Connection between the E-Algorithm and the Epsilon-Algorithm, IMACS Trans- actions on Scientific Computing -’88, Vol. 1.2. Numerical and Applied Mathematics, Volume Editor C. Brezinski.
Papers popularizing mathematics (1)
74. R. Ragonnet, R. Jumentier, B. Beckermann: Bilan du Travail d’ ´Etude et de Recherche ”La marche de l’empereur” `a l’Universit´e de Lille 1,MATAPLI102 (2013) 71-82.
Thesis and other manuscripts (9)
75. B. Beckermann : Zur Interpolation mit polynomialen Linearkombinationen beliebiger Funktionen, Dissertationsschrift, Universit¨at Hannover, Januar 1990.
76. B. Beckermann, C. Carstensen : On the Computation of the Non-Normal Rational Hermite- Interpolation Table, Technical Paper # 241, Univ. Hannover, 1991.
77. B. Beckermann : Neville pivoting for extrapolation and interpolation with non-regular systems, Tech- nical Paper # CPT-92/P.2714, Centre National de la Recherche Scientifique Luminy, 1992.
78. B. Beckermann : Nonsymmetric difference operators and polynomials being orthogonal with respect to rectangular matrix valued measures, Publication ANO 335, Universit´e de Lille (1995).
79. B. Beckermann : On the numerical condition of polynomial bases : Estimates for the Condition Number of Vandermonde, Krylov and Hankel matrices, Habilitationsschrift, Universit¨at Hannover, April 1996.
80. B. Beckermann : On explicit error bounds for best rational and meromorphic approximation of Markov functions on the unit circle, Publication ANO 430, Universit´e de Lille (2001).
81. B. Beckermann : A note on the convergence of Ritz values for sequences of matrices, Publication ANO 408, Universit´e de Lille (2000).
82. M. Lapik, B. Beckermann: The interval of equilibrium for the constrained energy problem in the presence of an external field, Universit´e de Lille (2006).
83. C. Badea, B. Beckermann, M. Crouzeix : K-spectral sets and intersections of disks of the Riemann sphere, Universit´e de Lille (2007). arXiv:0712.0522v1
Lezennes, February 2, 2015
Many of the above publications can be found on the page http://math.univ-lille1.fr/∼bbecker/
Teaching activities (1992-2014)
Ann´ee Universit´e Sujet
92 Toulon 4h TD Math´ematiques DEUG premi`ere ann´ee
92 Toulon 4h TD Equations aux d´eriv´ees partielles/Distributions Maˆıtrise Math´ematiques
92/93 Hanovre 6h TD Math´ematiques pour les ing´enieurs (Analyse, Alg`ebre lin´eaire), premi`ere ann´ee
92/93 Hanovre 2h TD Math´ematiques pour les ing´enieurs (Analyse de plusieurs variables, Analyse Num´erique) deuxi`eme ann´ee
93-96 Lille 3h TD Analyse Num´erique fondamentale I et II Maˆıtrise Math´ematiques
93 Lille 4h TD Math´ematiques DEUG B premi`ere ann´ee 94 Lille 3h TD Algorithmique num´erique, Licence Informatique 94 Lille 1h cours Initiation `a la programmation structur´ee
1h TD DEUG A deuxi`eme ann´ee
95-99 Lille 3h TD Algorithmes 2 (Th´eorie des graphes,
2h TP Algorithmique num´erique) Licence Informatique 95-98 Lille 3h TD Optimisation lin´eaire et non lin´eaire,
Maˆıtrise Math´ematiques
96-98 Lille 2h cours Math´ematiques algorithmiques, MIAGE FC Info.
97 Lille 2h cours Analyse Num´erique, DEUG FC deuxi`eme ann´ee 97 et 98 Lille 3h cours Op´erateurs aux diff´erences et approximation
rationnelle, DEA Math´ematiques 98-01 et 03-07 Lille 2h cours Recherche Op´erationnelle I,
3h TD Maˆıtrise Ing´enierie Math´ematique/Master 1 pro 99 Lille 3h cours Syst`emes dynamiques discrets et Polynˆomes
orthogonaux, DEA Math´ematiques (premi`ere partie)
98-01 Lille 1h cours Analyse Num´erique
2h TD DEUG MIAS deuxi`eme ann´ee 99-02 Lille 3h TD Recherche Op´erationnelle II,
Maˆıtrise Ing´enierie Math´ematique
00 et 02 Lille 2h CTD Recherche Op´erationnelle et Aide `a la D´ecision 2h TD/TP IUP GMI deuxi`eme ann´ee
99 et 03-13 Lille 4h cours Recherche Op´erationnelle,
DESS/Master 2 pro Ing´enierie Statistique et Num´erique 01-04 Lille 1h CTD Outils informatiques (MATLAB), DEA Math. Appl.
02 Lille 3h cours Probl`emes d’´energie minimale, DEA Math. Appl.
03-09 Lille 1h30 cours Recherche Op´erationnelle II,
Maˆıtrise Ing´enierie Math´ematique/Master 1 pro
04 Lille 3h cours Matrices de Jacobi, DEA Math. Appl. (deuxi`eme partie) 04-05 Lille 2x6h cours Formation Graphes, IREM
04–05, 12–13 Lille 2hC+2.5hTD Introduction `a la mod´elisation math. (Licence MIMP S3) 06-08 Lille 2hC Analyse num´erique et Approximation (Licence Math S6) 06 et 09 Lille 2.5hTD Analyse num´erique et Approximation (Licence Math S6) 06 Lille 2h cours Traitement informatique de l’Analyse Num´erique, 07-08 Lille 2h30 TD Master 1 professionnel de Math´ematiques
08 et 09 Lille 1hC+1h30TD Analyse num´erique pour informaticiens (Licence Info S4).
09 et 10 Lille 3h cours Fonctions de matrices (Master 2 Maths. Applis.).
10-12 Lille 2h cours Optimisation convexe (M1 Ing. Math.).
11 et 14 Lille 2h cours Analyse num´erique it´erative (Master 1 Math.).
11-14 Lille 2h cours Optimisation lin´eaire et discr`ete (M1 Ing. Math.).
14 Lille 2h cours Analyse num´erique matricielle (Licence Math S6)
