María del Carmen Quintana Ponce
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PhD Student - Teaching Assistant Office: 2.1.D18 (Edificio Sabatini) |
Brief Curriculum Vitae
Scientific Publications
- 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, submitted. Available as 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.