Portal de Transparencia

Actividad investigadora:

• Artículos en revistas
  • [2018] A reliable Givens-LU approach for solving opposite-bordered tridiagonal linear systems
  • [2018] Associating hub-directed multigraphs to arrowhead matrices
  • [2016] A numerical solver for general bordered tridiagonal matrix equations
  • [2016] A numerical solver for general bordered tridiagonal matrix equations
  • [2016] ARROWHEAD OPERATORS ON A HILBERT SPACE
  • [2016] Arrowhead operators on a Hilbert space
  • [2015] Hybrid Ikebe-Newton's iteration for inverting general nonsingular Hessenberg matrices
  • [2015] Inverses of generalized Hessenberg matrices
  • [2015] On inverses of infinite Hessenberg matrices
  • [2015] Some results on determinants and inverses of nonsingular pentadiagonal matrices
  • [2014] On explicit formulas of the principal matrix pth root by polynomial decompositions
  • [2013] A note on representations for the inverses of tridiagonal matrices
  • [2013] Non-symbolic algorithms for the inversion of tridiagonal matrices
  • [2013] On explicit formulas for the principal matrix logarithm
  • [2013] On new algorithms for inverting Hessenberg matrices
  • [2012] A note on representations for the inverses of tridiagonal matrices
  • [2012] Application of the companion factorization to linear non-autonomous area-preserving maps
  • [2012] Application of the companion factorization to linear non-autonomous area-preserving maps
  • [2012] On the closed representation for the inverses of Hessenberg matrices
  • [2012] On the closed representation for the inverses of Hessenberg matrices
  • [2012] On the nested sums and orthogonal polynomials
  • [2012] THE SZEGO MATRIX RECURRENCE AND ITS ASSOCIATED LINEAR NON-AUTONOMOUS AREA-PRESERVING MAP
  • [2012] The Szego matrix recurrence and its associated linear non-autonomous area-preserving map
  • [2011] Companion factorization in the general linear group GL(n;C) and applications
  • [2011] Application of the chain sequences to linear difference equations
  • [2008] Chebyshev expansion for the component functions of the Almost-Mathieu Operator
  • [2008] Constant Solutions in Second Order Linear Homogeneous Difference Equations with Variable Coefficients
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• Capítulos de libros
  • [2012] An extension of the Ikebe algorithm for the inversion of
  • [2012] Principal Logarithm of matrix by recursive methods
• Conferencias invitadas en congresos
  • [2017] Linear-Time Solvers For Linear Systems With Sparse And Structured Matrices of Interest in Applications.
  • [2015] Infinite invertible arrowhead matrices and applications
  • [2015] Solutions of general linear difference equations, nested sums and applications
• Otros méritos
  • [2016] Miembro de la red Orthonet financiada por el proyecto MTM2015-68988-REDT del Plan Estatal 2013-2016 Excelencia ? Redes del Ministerio de Economía y Competitividad (MINECO)
• Ponencia en Congresos
  • [2018] A superfast and stable algorithm for solving large-order k-tridiagonal linear systems
  • [2016] Factorization and inversion of finite and infinite bordered tridiagonal matrices
  • [2016] Fast algorithms for solving general k-tridiagonal matrix linear equations
  • [2016] Hub-directed multigraphs and arrowhead matrices
  • [2014] Inversion of infinite tridiagonal matrices
  • [2014] The Ikebe-Schultz algorithm for inverting Hessenberg matrices
  • [2013] A new tool for generating orthogonal polynomial sequences
  • [2013] Determinant and inverses of nonsingular pentadiagonal matrices
  • [2012] An extension of the Ikebe algorithm for the inversion of
  • [2012] Principal logarithm of matrix by recursive methods
  • [2011] Inversion of general tridiagonal matrices: Preserving the numerical approach
  • [2011] Linear non-autonomous area-preserving map associated to the Szegö recurrence
  • [2010] Inverses of regular Hessenberg matrices
  • [2009] A linear non autonomous area-preserving map associated to the Szeg¨o recurrence
  • [2009] Discrete planar Hamiltonian systems. A constructive approach.
  • [2009] Explicit representation of hessenbergians: Application to General Orthogonal Polynomials
  • [2009] Sobre las soluciones de las ecuaciones en diferencias lineales
  • [2008] A compact representation of orthogonal polynomial sequences with respect to a quasi-definite moment functional
  • [2008] General solution of linear homogeneous difference equations, with variable coefficients.
  • [2007] Chain Sequences and Location of Continuous Spectrum in Self Adjoint Difference Operators.
  • [2007] Serie de Chebyshev para un operador Schrödinger 1-D ergódico.
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• Proyectos de I+D+i
  • [2009] MEDIDAS AUTOSEMEJANTES
  • [2008] Aproximación de medidas autosemejantes. Matrices de momentos y de Hessenberg
  • [2008] Ayuda para apoyar las lineas de I+D del Grupo de Investigación consolidado Polinomios Ortogonales y Geometría Fractal
  • [2008] Estrategias Metodológicas y Nuevas Tecnologías en la Adaptación de los Estudios de Ingeniería al EEES
  • [2008] Tecnologías Emergentes para el aprendizaje y la educación (IE08101058Tecnologías Emergentes para el aprendizaje y la educación
  • [2007] Competición (nacional) de imágenes fractales de la UPM
  • [2007] Diseño de estrategias para la evaluación continua en el EEES. Exploración de tecnologías emergentes
  • [2007] Estrategias Metodológicas y Nuevas Tecnologías en la Adaptación de los Estudios de Ingeniería al EEES
  • [2007] Título del proyecto: Implantación de Grupo Piloto en primer curso de Ingeniería Informática
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• Responsabilidades
  • [2007] VIII Feria Madrid es Ciencia (Fractales: Ciencia y Arte)