**Fernando De Terán Vergara**

**Catedrático de Universidad (Matemática Aplicada)**

Full Professor of Applied Mathematics

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)

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**

Forthcoming Meetings

Forthcoming Meetings

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

**Talks at Past Meetings****On bundles of matrix pencils under strict equivalence.****9th European Congress of Mathematics. July, 15-19, 2024, Sevilla (Spain).****An overview on the solvability of Sylvester-like equations.****8º Encuentro ALAMA. June, 12-14, 2024, Gijón (Spain).****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).**Companion forms for scalar and matrix polynomials: a personal review.**SIAM Conference on Applied Linear Algebra (LA24). May, 13-17, 2024, Paris (France).****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).****Bienal de la RSME 2024. January, 22-26, 2024, Pamplona (Spain).**-
**On bundles of matrix pencils under strict equivalence.****10th International Congress on Industrial and Applied Mathematics (ICIAM). Tokyo (Japan), August 20-25, 2023.** -
**Generic eigenstructures of Hermitian pencils with bounded rank.****25th Conference of the International Linear Algebra Society (ILAS). Madrid (Spain), June 12-16, 2023.** -
**CEDYA/CMA 2022. Zaragoza (Spain), July 18-22, 2022.** **24th Conference of the International Linear Algebra Society (ILAS). Galway (Ireland), June 20-24, 2022.**-
**On the consistency of the matrix equation X^TAX=B when B is symmetric.****ALAMA2022-ALN2gg. Alcalá de Henares (Spain), June 1-3, 2022.** -
On bundles of matrix pencils under strict equivalence.
**Nordic Numerical Linear Algebra Meeting. Aalto (Finland), April 11-12, 2022.** -
**Low rank perturbation of regular matrix pencils with symmetry structures.****Bienal RSME. Ciudad Real (Spain), January 17-21, 2022.** **Generalized companion forms in the monomial basis****.****XXVI CEDYA/ XVI CMA. Gijón (Spain), June 14-19, 2021.**-
**Uniqueness of solution of generalized Sylvester-like equations with rectangular coefficients**.**IWOTA 2019. Lisboa (Portugal), July 22-26, 2019.** **A survey of NLEVPs and multiparameter eigenvalue problems.****ICIAM2019. Valencia (Spain), July 15-19, 2019.****A class of quasi-sparse companion pencils of matrix polynomials over arbitrary fields.****ILAS2019.****Rio de Janeiro (Brasil), July 8-12, 2019.****Uniqueness of solution of generalized Sylvester-like equations with rectangular coefficients.****ETNA25 Conference. Santa Margherita di Pula (Italy), May 27-29, 2019.****Curso SPOC de Álgebra Lineal en la UC3M.****Segundas jornadas "ingeniería para matemáticas" IngxMat2. Castro Urdiales (Spain), May 15-17, 2019.****Polynomial root-finding using companion matrices****Encuentro ALAMA 2018. Alicante (Spain), May 30-June 1st, 2018.**

**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.**

**Polynomial root-finding using companion matrices****. INdAM meeting: Structured matrices in numerical linear algebra. Cortona (Italy), September 4-8, 2017.**

**Polynomial root-finding using companion matrices.****FoCM2017. Barcelona (Spain), July 10-17, 2017.**

**Uniqueness of solution of systems of generalized Sylvester and *-Sylvester equations. NL2A. Luminy (France), October 24-28, 2016.**

**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**.**Uniqueness of solution of a generalized *-Sylvester equation.****Encuentro ALAMA 2016. León (Spain), June 20-22, 2016.**

**Low rank perturbation of canonical forms. 12th SIAM Conference on Applied Linear Algebra. Atlanta (USA), October 26-30, 2015.****Constructing strong l-ifications. MatTriad. Coimbra (Portugal), September 7-11, 2015.****Low rank perturbation of canonical forms. XXIV CEDYA / XIV CMA. Cádiz (Spain), June 8-12, 2015.****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.****Sylvester and *-Sylvester equations: analogies and differences. 19th Conference of the International Linear Algebra Society. Seoul (South Korea), August 6-9, 2014****Flanders' theorem for many matrices under commutativity assumptions. Joint ALAMA-GAMM/ANLA Meeting. Barcelona (Spain), July 14-16, 2014.****Polynomial root-finding using Fiedler companion matrices. First Joint International Meeting RSME-SCM-SEMA-SIMAI-UMI. Bilbao (Spain), June 30-July 4, 2014.****Backward error and conditioning of Fiedler linearizations. Householder Symposium XIX. Spa (Belgium), June 8-13, 2014.****Backward error and conditioning of Fiedler linearizations.****Workshop on Nonlinear Eigenvalue Problems. The University of Manchester, Manchester (UK), April 23-25, 2014.****Spectral equivalence of matrix polynomials, the Index Sum Theorem and consequences****. XXII CEDYA / XII CMA. Castellón de la Plana (Spain), September 9-13, 2013.****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.****Regular and singular matrix polynomials. Spectral information. Linearizations.****Second ALAMA Courses on Matrix Polynomials. Castro Urdiales (Spain), May 22-24, 2013.****The Sylvester equation for congruence and some related equations. Encuentro ALAMA 2012. Leganés (Spain), June 27-29, 2012.****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.****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.****Fiedler linearizations of matrix polynomials. 17 th Conference of the international Linear Algebra Society. Braunschweig (Germany), August 22-26, 2011.****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.****Palindromic pencils, orbits, and the equation XA+AX^T=0****. Mopnet 4. The University of Manchester (UK), April 27-28, 2011.****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.****Linearizations of rectangular matrix polynomials****. 16 th Conference of the international Linear Algebra Society, Pisa (Italy), June 21-25, 2010.****Canonical forms for congruence of matrices: a tribute to H. W. Turnbull and A. C. Aitken. ALAMA 2010, Valencia (Spain), June, 2-4, 2010.****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.****Linearizations of matrix polynomials: Sharp lower bounds for the dimension and structures.****XXI CEDYA / XI CMA. Ciudad Real (Spain), September 21-25, 2009.****First order spectral perturbation theory of square singular analytic matrix function****s. The Second Najman Conference. University of Zagreb, Dubrovnik (Croatia), May 10-17, 2009.****Linearizations of singular matrix polynomials and the recovery of minimal indices****. Encuentro ALAMA 2008. Vitoria (Spain), September 25-26, 2008.****First order perturbation expansions for eigenvalues of singular matrix pencils.****Workshop on nonnegative matrices and related topics. San Pedro de Atacama (Chile), February, 2008.**-
**Low rank perturbation of Kronecker structure****.****XX CEDYA / X CMA. Sevilla (Spain), September 24-28, 2007.** **First order perturbation expansions for eigenvalues of singular matrix pencils.****14th. Conference of the International Linear Algebra Society. Shanghai (China), July 16-20, 2007.****On the change of canonical structures under low rank perturbations****Joint GAMM-SIAM Conference on Applied Linear Algebra. Düsseldorf (Germany), July 24-27, 2006.****Low rank perturbation of Weierstrass structure. 11th. Conference of the International Linear Algebra Society. Coimbra (Portugal), July 19-22, 2004.****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**

- The canonical form for congruence: some history and applications. Seminario del Departamento de Matemáticas de la URJC. June 6th, 2023.
- The canonical form for congruence: some history and applications. Seminario del Departamento de Matemáticas de la UC3M. April 26th, 2023.
- Generic eigenstructures of matrix pencils. Oselot seminar (online). September 26th, 2021.
- 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.
- Low rank perturbation of regular matrix pencils with symmetry structures. Oselot seminar (online). January 21st, 2021.
- Flanders' Theorem for many matrices under commutativity assumptions. Colloquium at the Dipartimento di Matematica. Università di Pisa. January 20, 2020.

**Polynomial root-finding using companion matrices**. Colloquium at the Department of Mathematics, Josip Juraj Strossmayer University of Osijek. May 1st, 2019.**Polynomial root-finding using companion matrices****. Colloquium at the Dipartimento di Matematica e Informatica. Università degli studi di Perugia . March 8, 2018.**

**Polynomial root-finding using companion matrices****Kolloquium der Arbeitsguppe Modellierung, Numerik, Differentialgleichungen. TU Berlin (Germany), February 14, 2017.****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.**

**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.**