Organizers: Barreras, Álvaro (Universidad Internacional de La Rioja), De Terán Vergara, Fernando (Universidad Carlos III de Madrid)
Abstract
Matrices are ubiquitous and arise in several fields of maths and science, including statistics, mechanics, computer science, or economics. In most applications, the matrices involved have some kind of structure.
The numerical treatment of matrices lies within the field of Numerical Linear Algebra (NLA). The general goals of this minisymposium are:
- To show several recent algorithms that aim to solve particular problems in NLA.
- To provide some examples of structured matrices arising in other mathematical problems (like root-finding) and to show how to deal with them.
- To emphasize the relevance of preserving the structure in matrix problems
Keywords: Structured matrices, Matrix algorithms, Canonical forms
Session 7: Thursday, 11:30-13:35. Room A5.
Chair: De Terán Vergara, Fernando (Universidad Carlos III de Madrid)
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Speaker |
Organization |
Contribution title |
|
Barreras, Álvaro |
Universidad Internacional de La Rioja |
Tridiagonal M-matrices whose inverse is tridiagonal |
|
Cantó, Rafael |
Universitat Politècnica de València |
A method to construct irreducible TN matrices with a given Jordan canonical form |
|
Jiménez Meana, Jorge |
Universidad de Oviedo |
An algorithmic characterization of almost strictly sign regular matrices |
|
Palacio Muñiz, Antonio |
Universidad de Oviedo |
Algorithmic construction of Jacobi ASSR matrices |
|
Orera, Héctor |
Universidad de Zaragoza |
Nekrasov matrices: accurate computations and applications |
Session 8. Thursday 18:00 – 20:00. Room A5.
Chair: De Terán Vergara, Fernando (Universidad Carlos III de Madrid)
|
Speaker |
Organization |
Contribution title |
|
Marco, Ana |
Universidad de Alcalá |
Accurate computations with rectangular totally positive h-Bernstein-Vandermonde matrices |
|
Delgado, Jorge |
Universidad de Zaragoza |
Accurate algorithms for the collocation matrices of some orthogonal polynomials |
|
Román, Jose E. |
Universitat Politècnica de València |
Two-sided methods for the nonlinear eigenvalue problem |
|
Yakoubsohn, Jean-Claude |
Université Paul Sabatier, Toulouse |
Newton-Type Methods For The Singular Value Decomposition |
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Hernando, Carla |
|
A class of quasi-spare companion matrices |
Session 9. Friday 11:30 – 13:10. Room A5.
Chair: Barreras, Álvaro (Universidad Internacional de La Rioja)
|
Speaker |
Organization |
Contribution title |
|
Mas, José |
Universitat Politècnica de València |
Solving least squares overdetermined linear systems with dense rows by preconditioned iterative methods |
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Marín Mateos-Aparicio, José |
Universitat Politècnica de València |
Pivoting on the ISM factorization
|
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De Terán Vergara, Fernando |
Universidad Carlos III de Madrid |
Generalized companion pencils in the monomial basis |
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