María del Carmen Quintana Ponce
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PhD Student - Teaching Assistant Office: 2.1.D18 (Edificio Sabatini) |
Brief Curriculum Vitae
Scientific Publications
- Froilán M. Dopico, Silvia Marcaida, María C. Quintana, Paul Van Dooren, Block full rank linearizations of rational matrices, submitted. Available as arXiv:2011.00955v1.
- Javier Pérez, María C. Quintana, Linearizations of rational matrices from general representations, submitted. Available as arXiv:2003.02934v1.
- Froilán M. Dopico, Silvia Marcaida, María C. Quintana, Paul Van Dooren, Local Linearizations of Rational Matrices with Application to Rational Approximations of Nonlinear Eigenvalue Problems, Linear Algebra and its Applications, 604 (2020), pp. 441-475. (arXiv:1907.10972v1).
- Froilán M. Dopico, María C. Quintana, Paul Van Dooren, Linear system matrices of rational transfer functions, submitted. Available as arXiv:1903.05016v1.
- Froilán M. Dopico, Silvia Marcaida, María C. Quintana, Strong linearizations of rational matrices with polynomial part expressed in an orthogonal basis, Linear Algebra and its Applications, 570 (2019), pp. 1-45. (arXiv:1806.10544v1).
Teaching
2018/2019 - Cálculo I (Problemas), Grado en Ingeniería en Tecnologías Industriales.
Talks
September 30, 2019 - Colloquium. University of Montana, Montana, United States. Type of participation: Invited colloquium talk. Title of the work: On the Structure of Linearizations for Rational Approximations of Nonlinear Eigenvalue Problems.
July 15-19, 2019 - ICIAM (International Congress on Industrial and Applied Mathematics). Universidad de Valencia, Valencia, Spain. Type of participation: Invited minisymposium talk. Title of the work: Local Linearizations of Rational Matrices and their Applications to Nonlinear Eigenvalue Problems.
September 19, 2018 - Autumn of Eigenvalues Seminar Series - Part II. Instituto de Ciencias Matemáticas (ICMAT), Madrid, Spain. Type of participation: Invited talk. Title of the work: Symmetric Strong Linearizations of Symmetric Rational Matrices.
May 30 - June 1, 2018 - ALAMA 2018 meeting. Complejo San Juan, Sant Joan d'Alacant, Spain. Type of participation: Contributed talk. Title of the work: Strong Linearizations of Rational Matrices with polynomial part expressed in an orthogonal basis.
May 4-8, 2018 - SIAM conference on APPLIED LINEAR ALGEBRA. Hong Kong Baptist University, Hong Kong, China. Type of participation: Invited minisymposium talk. Title of the work: Strong Linearizations of Rational Matrices with polynomial part expressed in an orthogonal basis.
September 11-13, 2017 - Workshop of Young Researchers in Mathematics. Universidad Complutense de Madrid, Madrid, Spain. Type of participation: Contributed talk. Title of the work: Constructing new classes of Strong Linearizations of Rational Matrices.
July 4 and 13, 2017 - Finalist at Thesis Talk 2016/2017 (Ph.D. student competition). Universidad Carlos III de Madrid, Madrid, Spain. Type of participation: Contributed talk. Title of the work: Strong Linearizations of Rational Matrices: preserving structures and backward errors.
Posters
May 29-30, 2019 - Workshop ''ADVANCES IN NUMERICAL LINEAR ALGEBRA''. University of Manchester, Manchester, United Kingdom. Type of participation: Poster. Title of the work: On the Structure of Linearizations for Rational Approximations of Nonlinear Eigenvalue Problems.