Fernando De Terán Vergara
Catedrático de Universidad (Matemática Aplicada)
Full Professor of Applied Mathematics

Universidad Carlos III de Madrid
Departamento de Matemáticas
Avenida de la Universidad, 30
28911, Leganés, Madrid.

Teléfono: 91 624 9977
FAX: +34 91 624 9151
Despacho: 2.2.A.13 (Edificio Sabatini)
Talks
AMS Mathematics Calendar SIAM Meetings and Conferences


Forthcoming Meetings
  1. 26th Conference of the International Linear Algebra Society (ILAS). June 23-27, 2025, Kaohsiung (Taiwan).

Talks at Past Meetings
  1. On bundles of matrix pencils under strict equivalence. 9th European Congress of Mathematics. July, 15-19, 2024, Sevilla (Spain).
  2. An overview on the solvability of Sylvester-like equations. 8º Encuentro ALAMA. June, 12-14, 2024, Gijón (Spain).
  3. Regular vs Singular Matrix Polynomials. Special Western Canadian Linear Algebra Meeting Honouring Professor Peter Lancaster at 95. May 25-26, 2024, University of Calgary (Canada).
  4. Companion forms for scalar and matrix polynomials: a personal review. SIAM Conference on Applied Linear Algebra (LA24). May, 13-17, 2024, Paris (France).
  5. The influence of David S. Watkins in my teaching and research. A Workshop on the Occasion of the 75th Birthday of David S. Watkins (DW75). May, 9-10, 2024, KU Leuven (Belgium).
  6. Consistency of X^T AX=B, with B symmetric or skew-symmetric.. Bienal de la RSME 2024. January, 22-26, 2024, Pamplona (Spain).
  7. On bundles of matrix pencils under strict equivalence. 10th International Congress on Industrial and Applied Mathematics (ICIAM). Tokyo (Japan), August 20-25, 2023.
  8. Generic eigenstructures of Hermitian pencils with bounded rank. 25th Conference of the International Linear Algebra Society (ILAS). Madrid (Spain), June 12-16, 2023.
  9. The canonical form for congruence: some history and applications. Linear Algebra Workshop FCUL. Lisboa (Portugal), May 19, 2023.
  10. On bundles of matrix pencils under strict equivalence. CEDYA/CMA 2022. Zaragoza (Spain), July 18-22, 2022.
  11. Companion pencils for scalar polynomials in the monomial basis. 24th Conference of the International Linear Algebra Society (ILAS). Galway (Ireland), June 20-24, 2022.
  12. On the consistency of the matrix equation X^TAX=B when B is symmetric. ALAMA2022-ALN2gg. Alcalá de Henares (Spain), June 1-3, 2022.
  13. On bundles of matrix pencils under strict equivalence. Nordic Numerical Linear Algebra Meeting. Aalto (Finland), April 11-12, 2022.
  14. Low rank perturbation of regular matrix pencils with symmetry structures. Bienal RSME. Ciudad Real (Spain), January 17-21, 2022.
  15. Generalized companion forms in the monomial basis. XXVI CEDYA/ XVI CMA. Gijón (Spain), June 14-19, 2021.
  16. Uniqueness of solution of generalized Sylvester-like equations with rectangular coefficients. IWOTA 2019. Lisboa (Portugal), July 22-26, 2019.
  17. A survey of NLEVPs and multiparameter eigenvalue problems. ICIAM2019. Valencia (Spain), July 15-19, 2019.
  18. A class of quasi-sparse companion pencils of matrix polynomials over arbitrary fields. ILAS2019. Rio de Janeiro (Brasil), July 8-12, 2019.
  19. Uniqueness of solution of generalized Sylvester-like equations with rectangular coefficients. ETNA25 Conference. Santa Margherita di Pula (Italy), May 27-29, 2019.
  20. Curso SPOC de Álgebra Lineal en la UC3M. Segundas jornadas "ingeniería para matemáticas" IngxMat2. Castro Urdiales (Spain), May 15-17, 2019.
  21. Polynomial root-finding using companion matrices Encuentro ALAMA 2018. Alicante (Spain), May 30-June 1st, 2018.
  22. A geometric description of the sets of palindromic and alternating pencils with bounded rank. SIAM Conference on Applied Linear Algebra. Hong-Kong, May 4-8, 2018.
  23. Polynomial root-finding using companion matrices. INdAM meeting: Structured matrices in numerical linear algebra. Cortona (Italy), September 4-8, 2017.
  24. Polynomial root-finding using companion matrices. FoCM2017. Barcelona (Spain), July 10-17, 2017.
  25. Uniqueness of solution of systems of generalized Sylvester and *-Sylvester equations. NL2A. Luminy (France), October 24-28, 2016.
  26. Solution of Sylvester-like equations and systems: consistency, uniqueness, and some applications. 20th Conference of the International Linear Algebra Society. KU Leuven (Belgium), July 11-15, 2016.
  27. Uniqueness of solution of a generalized *-Sylvester equation. Encuentro ALAMA 2016. León (Spain), June 20-22, 2016.
  28. Low rank perturbation of canonical forms. 12th SIAM Conference on Applied Linear Algebra. Atlanta (USA), October 26-30, 2015.
  29. Constructing strong l-ifications. MatTriad. Coimbra (Portugal), September 7-11, 2015.
  30. Low rank perturbation of canonical forms. XXIV CEDYA / XIV CMA. Cádiz (Spain), June 8-12, 2015.
  31. Low rank perturbation of canonical forms. Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory. In honor of Volker Mehrmann. Berlin (Germany), 6-9 may, 2015.
  32. Sylvester and *-Sylvester equations: analogies and differences. 19th Conference of the International Linear Algebra Society. Seoul (South Korea), August 6-9, 2014
  33. Flanders' theorem for many matrices under commutativity assumptions. Joint ALAMA-GAMM/ANLA Meeting. Barcelona (Spain), July 14-16, 2014.
  34. Polynomial root-finding using Fiedler companion matrices. First Joint International Meeting RSME-SCM-SEMA-SIMAI-UMI. Bilbao (Spain), June 30-July 4, 2014.
  35. Backward error and conditioning of Fiedler linearizations. Householder Symposium XIX. Spa (Belgium), June 8-13, 2014.
  36. Backward error and conditioning of Fiedler linearizations. Workshop on Nonlinear Eigenvalue Problems. The University of Manchester, Manchester (UK), April 23-25, 2014.
  37. Spectral equivalence of matrix polynomials, the Index Sum Theorem and consequences. XXII CEDYA / XII CMA. Castellón de la Plana (Spain), September 9-13, 2013.
  38. Spectral equivalence of matrix polynomials, the Index Sum Theorem and consequences. 18th Conference of the International Linear Algebra Society. Providence, RI (USA), June 3-7, 2013.
  39. Regular and singular matrix polynomials. Spectral information. Linearizations. Second ALAMA Courses on Matrix Polynomials. Castro Urdiales (Spain), May 22-24, 2013.
  40. The Sylvester equation for congruence and some related equations. Encuentro ALAMA 2012. Leganés (Spain), June 27-29, 2012.
  41. Eigenvector recovery of linearizations and the condition number of eigenvalues of matrix polynomials. SIAM Conference on Applied Linear Algebra 2012. Valencia (Spain), June 18-22, 2012.
  42. The solution of the equation XA+AX^T=0 and its application to the theory of orbits. 17 th Conference of the international Linear Algebra Society. Braunschweig (Germany), 22-26 August, 2011.
  43. Fiedler linearizations of matrix polynomials. 17 th Conference of the international Linear Algebra Society. Braunschweig (Germany), August 22-26, 2011.
  44. Congruence orbits of matrices and palindromic pencils, and the solution of the equation XA+AX^T=0. Householder Symposium XVIII. Tahoey City, California (USA), June 12-17, 2011. 
  45. Palindromic pencils, orbits, and the equation XA+AX^T=0. Mopnet 4. The University of Manchester (UK), April 27-28, 2011.
  46. The solution of the equation XA+AX^T=0 and its application to the theory of orbits. Workshop for young researchers in Mathematics 2010. UCM Madrid (Spain), September 22-24, 2010.
  47. Linearizations of rectangular matrix polynomials. 16 th Conference of the international Linear Algebra Society, Pisa (Italy), June 21-25, 2010.
  48. Canonical forms for congruence of matrices: a tribute to H. W. Turnbull and A. C. Aitken. ALAMA 2010, Valencia (Spain), June, 2-4, 2010.
  49. Linearizations of matrix polynomials: Sharp lower bounds for the dimension and structures. SIAM Conference on Applied Linear Algebra. Monterrey, California (USA), October 26-29, 2009.
  50. Linearizations of matrix polynomials: Sharp lower bounds for the dimension and structures. XXI CEDYA / XI CMA. Ciudad Real (Spain), September  21-25, 2009.
  51. First order spectral perturbation theory of square singular analytic matrix functions. The Second Najman Conference. University of Zagreb, Dubrovnik (Croatia), May 10-17, 2009.
  52. Linearizations of singular matrix polynomials and the recovery of minimal indices. Encuentro ALAMA 2008. Vitoria (Spain), September 25-26, 2008.
  53. First order perturbation expansions for eigenvalues of singular matrix pencils. Workshop on nonnegative matrices and related topics. San Pedro de Atacama (Chile), February, 2008.
  54. Low rank perturbation of Kronecker structure. XX CEDYA / X CMA. Sevilla (Spain), September 24-28, 2007.
  55. First order perturbation expansions for eigenvalues of singular matrix pencils. 14th. Conference of the International Linear Algebra Society. Shanghai (China), July 16-20, 2007.
  56. On the change of canonical structures under low rank perturbations Joint GAMM-SIAM Conference on Applied Linear Algebra. Düsseldorf (Germany), July 24-27, 2006.
  57. Low rank perturbation of Weierstrass structure. 11th. Conference of the International Linear Algebra Society. Coimbra (Portugal), July 19-22, 2004.
  58. First order perturbation expansions for arbitrary eigenvalues of matrix polynomials.  V International Workshop on Accurate Eigenvalue Problem (IWASEP 5).  Hagen (Germany), June, 2004.
Other talks
  1. The canonical form for congruence: some history and applications. Seminario del Departamento de Matemáticas de la URJC. June 6th, 2023.
  2. The canonical form for congruence: some history and applications. Seminario del Departamento de Matemáticas de la UC3M. April 26th, 2023.
  3. Generic eigenstructures of matrix pencils. Oselot seminar (online). September 26th, 2021.
  4. On the consistency of the matrix equation X^TAX=B when B is either symmetric or skew. Research seminar in mathematics. Örebro University. May 13, 2022.
  5. Low rank perturbation of regular matrix pencils with symmetry structures. Oselot seminar (online). January 21st, 2021.
  6. Flanders' Theorem for many matrices under commutativity assumptions. Colloquium at the Dipartimento di Matematica. Università di Pisa. January 20, 2020.
  7. Polynomial root-finding using companion matrices. Colloquium at the Department of Mathematics, Josip Juraj Strossmayer University of Osijek. May 1st, 2019.
  8. Polynomial root-finding using companion matrices . Colloquium at the Dipartimento di Matematica e Informatica. Università degli studi di Perugia . March 8, 2018.
  9. Polynomial root-finding using companion matrices Kolloquium der Arbeitsguppe Modellierung, Numerik, Differentialgleichungen. TU Berlin (Germany), February 14, 2017.
  10. Introduction to Fiedler matrices and matrix pencils and some applications. Short course (5hours). Manchester Institute for the Mathematical Sciences. The University of Manchester. December 10-19, 2012.
  11. The Sylvester equation for congruence and some related equations. Colloquium at the Seminario del grupo de análisis matricial y aplicaciones. Universidad del País Vasco. March 23, 2012.