sample of publications

• articles 

  • Generic eigenstructure of Hermitian pencils.  SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS.  45:260-283. 2024
  • The DL(P) vector space of pencils for singular matrix polynomials.  LINEAR ALGEBRA AND ITS APPLICATIONS.  677. 2023
  • Quasi-triangularization of matrix polynomials over arbitrary fields.  LINEAR ALGEBRA AND ITS APPLICATIONS.  665:61-106. 2023
  • Structural backward stability in rational eigenvalue problems solved via block Kronecker linearizations.  CALCOLO.  60:1-45. 2023
  • On bundles of matrix pencils under strict equivalence.  LINEAR ALGEBRA AND ITS APPLICATIONS.  658:1-31. 2023
  • Strongly minimal self-conjugate linearizations for polynomial and rational matrices.  SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS.  43:1354-1381. 2022
  • Diagonal scalings for the eigenstructure of arbitrary pencils.  SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS.  43:1213-1237. 2022
  • On minimal bases and indices of rational matrices and their linearizations.  LINEAR ALGEBRA AND ITS APPLICATIONS.  623:14-67. 2021
  • Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems.  LINEAR ALGEBRA AND ITS APPLICATIONS.  604:441-475. 2020
  • Generic symmetric matrix pencils with bounded rank.  Journal of Spectral Theory.  10:905-926. 2020
  • Special volume on mathematical modeling with applications.  NUMERICAL ALGORITHMS.  84:1239-1240. 2020
  • Generic symmetric matrix polynomials with bounded rank and fixed odd grade.  SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS.  41:1033-1058. 2020
  • Root polynomials and their role in the theory of matrix polynomials.  LINEAR ALGEBRA AND ITS APPLICATIONS.  584:37-78. 2020
  • Normas, matrices reales, vectores complejos.  La Gaceta de la Real Sociedad Matemática Española.  22:514-514. 2019
  • Robustness and perturbations of minimal bases II: The case with given row degrees.  LINEAR ALGEBRA AND ITS APPLICATIONS.  576:268-300. 2019
  • Conditioning and backward errors of eigenvalues of homogeneous matrix polynomials under Möbius transformations.  MATHEMATICS OF COMPUTATION.  89:767-805. 2019
  • Van Dooren's Index Sum Theorem and Rational Matrices with Prescribed Structural Data.  SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS.  40:720-738. 2019
  • Strong linearizations of rational matrices with polynomial part expressed in an orthogonal basis.  LINEAR ALGEBRA AND ITS APPLICATIONS.  570:1-45. 2019
  • Structured backward error analysis of linearized structured polynomial eigenvalue problems.  MATHEMATICS OF COMPUTATION.  88:1189-1228. 2019
  • Quadratic realizability of palindromic matrix polynomials.  LINEAR ALGEBRA AND ITS APPLICATIONS.  567:202-262. 2019
  • A comparison of eigenvalue condition numbers for matrix polynomials.  LINEAR ALGEBRA AND ITS APPLICATIONS.  564:170-200. 2019
  • Block minimal bases ¿-ifications of matrix polynomials.  LINEAR ALGEBRA AND ITS APPLICATIONS.  562:163-204. 2019
  • A compact rational Krylov method for large-scale rational eigenvalue problems.  NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS.  26. 2019
  • Strong Linearizations of Rational Matrices.  SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS.  39:1670-1700. 2018
  • Block Kronecker linearizations of matrix polynomials and their backward errors.  NUMERISCHE MATHEMATIK.  140:373-426. 2018
  • A block-symmetric linearization of odd degree matrix polynomials with optimal eigenvalue condition number and backward error.  CALCOLO.  55. 2018
  • A simplified approach to Fiedler-like pencils via block minimal bases pencils.  LINEAR ALGEBRA AND ITS APPLICATIONS.  547:45-104. 2018
  • Robustness and perturbations of minimal bases.  LINEAR ALGEBRA AND ITS APPLICATIONS.  542:246-281. 2018
  • Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade.  LINEAR ALGEBRA AND ITS APPLICATIONS.  536. 2018
  • Generic complete eigenstructures for sets of matrix polynomials with bounded rank and degree.  LINEAR ALGEBRA AND ITS APPLICATIONS.  535:213-230. 2017
  • An explicit description of the irreducible components of the set of matrix pencils with bounded normal rank.  LINEAR ALGEBRA AND ITS APPLICATIONS.  520:80-103. 2017
  • Eigenvalue condition numbers and pseudospectra of Fiedler matrices.  CALCOLO.  54:319-365. 2017
  • Linearizations of Hermitian Matrix Polynomials Preserving the Sign Characteristic.  SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS.  38:249-272. 2017
  • Structured condition numbers for linear systems with parameterized quasiseparable coefficient matrices.  NUMERICAL ALGORITHMS.  73:1131-1158. 2016
  • Structured eigenvalue condition numbers for parameterized quasiseparable matrices.  NUMERISCHE MATHEMATIK.  134:473-512. 2016
  • Computing matrix symmetrizers, part 2: New methods using eigendata and linear means; a comparison.  LINEAR ALGEBRA AND ITS APPLICATIONS.  504:590-622. 2016
  • Projection methods for large-scale T-Sylvester equations.  MATHEMATICS OF COMPUTATION.  85:2427-2455. 2016
  • Multiplicative perturbation theory of the Moore-Penrose inverse and the least squares problem.  LINEAR ALGEBRA AND ITS APPLICATIONS.  503:1-25. 2016
  • Constructing strong l-ifications from dual minimal bases.  LINEAR ALGEBRA AND ITS APPLICATIONS.  495:344-372. 2016
  • Backward stability of polynomial root-finding using Fiedler companion matrices.  IMA JOURNAL OF NUMERICAL ANALYSIS.  36:133-173. 2016
  • Generic change of the partial multiplicities of regular matrix pencils under low-rank perturbations.  SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS.  37:823-835. 2016
  • Polynomial zigzag matrices, dual minimal bases, and the realization of completely singular polynomials.  LINEAR ALGEBRA AND ITS APPLICATIONS.  488:460-504. 2016
  • The Inverse Eigenvector Problem for Real Tridiagonal Matrices.  SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS.  37:577-597. 2016
  • Large vector spaces of block-symmetric strong linearizations of matrix polynomials.  LINEAR ALGEBRA AND ITS APPLICATIONS.  477:165-210. 2015
  • Matrix Polynomials with Completely Prescribed Eigenstructure.  SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS.  36:302-328. 2015
  • Relative perturbation theory for diagonally dominant matrices.  SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS.  35:1303-1328. 2014
  • Spectral equivalence of matrix polynomials and the Index Sum Theorem.  LINEAR ALGEBRA AND ITS APPLICATIONS.  459:264-333. 2014
  • A New Perturbation Bound for the LDU Factorization of Diagonally Dominant Matrices.  SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS.  35:904-930. 2014
  • New bounds for roots of polynomials based on Fiedler companion matrices.  LINEAR ALGEBRA AND ITS APPLICATIONS.  451:197-230. 2014
  • Alan Turing and the origins of modern Gaussian elimination = Alan Turing y los orígenes de la eliminación gaussiana moderna.  Arbor.  189:1-21. 2013
  • Preface to the 17th ILAS Conference Pure and Applied Linear Algebra: The New Generation' Proceedings, Braunschweig, Germany, 2011.  LINEAR ALGEBRA AND ITS APPLICATIONS.  439:807-808. 2013
  • Accurate solution of structured least squares problems via rank-revealing decompositions.  SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS.  34:1112-1128. 2013
  • Stability of QR-based fast system solvers for a subclass of quasiseparable rank one matrices.  MATHEMATICS OF COMPUTATION.  82:2007-2034. 2013
  • The solution of the equation AX+X*B=0.  LINEAR ALGEBRA AND ITS APPLICATIONS.  438:2817-2860. 2013
  • Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix.  NUMERISCHE MATHEMATIK.  122:527-555. 2012
  • Fiedler companion linearizations for rectangular matrix polynomials.  LINEAR ALGEBRA AND ITS APPLICATIONS.  437:957-991. 2012
  • Accurate solution of structured linear systems via rank-revealing decompositions.  IMA JOURNAL OF NUMERICAL ANALYSIS.  32:1096-1116. 2012
  • Palindromic companion forms for matrix polynomials of odd degree.  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS.  236:1464-1480. 2011
  • Perturbation theory for the LDU factorization and accurate computations for diagonally dominant matrices.  NUMERISCHE MATHEMATIK.  119:337-371. 2011
  • Consistency and efficient solution of the Sylvester equation for ⋆-congruence.  Electronic Journal of Linear Algebra.  22:849-863. 2011
  • Recovery of eigenvectors and minimal bases of matrix polynomials from generalized Fiedler linearizations.  SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS.  32:463-483. 2011
  • The equation XA+AX*=0 and the dimension of *congruence orbits*.  Electronic Journal of Linear Algebra.  22:448-465. 2011
  • The solution of the equation XA + AX(T)=0 and its application to the theory of orbits.  LINEAR ALGEBRA AND ITS APPLICATIONS.  434:44-67. 2011
  • First Order Spectral Perturbation Theory of Square Singular Matrix Polynomials.  LINEAR ALGEBRA AND ITS APPLICATIONS.  432:892-910. 2010
  • Fiedler Companion Linearizations and the Recovery of Minimal Indices.  SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS.  31:2181-2204. 2010
  • Implicit Standard Jacobi Gives High Relative Accuracy.  NUMERISCHE MATHEMATIK.  113:519-553. 2009
  • Linearizations of Singular Matrix Polynomials and the Recovery of Minimal Indices.  Electronic Journal of Linear Algebra.  18:371-402. 2009
  • Parametrization of the Matrix Symplectic Group and Applications.  SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS.  31:650-673. 2009
  • Low Rank Perturbation of Regular Matrix Polynomials.  LINEAR ALGEBRA AND ITS APPLICATIONS.  430:579-586. 2009
  • Sharp Lower Bounds for the Dimension of Linearizations of Matrix Polynomials.  Electronic Journal of Linear Algebra.  17:518-531. 2008
  • First Order Spectral Perturbation Theory of Square Singular Matrix Pencils.  LINEAR ALGEBRA AND ITS APPLICATIONS.  429:548-576. 2008
  • A Note On Generic Kronecker Orbits Of Matrix Pencils With Fixed Rank.  SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS.  30:491-496. 2008
  • Bidiagonal Decompositions of Oscillating Systems of Vectors.  LINEAR ALGEBRA AND ITS APPLICATIONS.  428:2536-2548. 2008
  • Low Rank Perturbation Of Weierstrass Structure.  SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS.  30:538-547. 2008
  • Matrices with Orthogonal Groups Admitting only Determinant One.  LINEAR ALGEBRA AND ITS APPLICATIONS.  428:796-813. 2008

• conference contributions 

  • Local Linearizations of Rational Matrices and their Applications to Nonlinear Eigenvalue Problems.  133-133. 2019
  • Local linearizations of rational matrices with application to nonlinear eigenvalue problems.  1-145. 2019
  • Linearizations of polynomial and rational matrices 2018
  • Strong linearizations of rational matrices with polynomial part expressed in an orthogonal basis..  99-99. 2018
  • Constructing new classes of strong linearizations of rational matrices 2017
  • Dual minimal bases of polynomial matrices and applications 2017
  • Generic matrix polynomials with fixed rank and fixed degree. 2017
  • Global backward error analysis of polynomial eigenvalue problems 2017
  • Matrix polynomials with bounded rank and degree: generic eigenstructures and explicit descriptions. 2017
  • Paul Van Dooren's Index Sum Theorem and the solution of the inverse rational eigenvalue problem. 2017
  • Polynomial eigenvalue problems: linearizations and global backward error analysis. 2017
  • Product realizations for matrix polynomials. 2017
  • Robustness and perturbations of minimal bases 2017
  • Structured and unstructured backward error analyses of linearized polynomial eigenvalue problems. 2017
  • Structured backward error analyses of linearized polynomial eigenvalue problems 2017
  • The action of Möbius transformations on the eigenvalue condition numbers and the backward errors of polynomial eigenvalue problems. 2017
  • Backward stability of polynomial root-finding using Fiedler companion matrices.  133-173. 2016
  • Backward stability of polynomial root-finding via matrices and matrix pencils 2016
  • Block Kronecker linearizations of matrix polynomials and their backward errors 2016
  • Eigenvalue condition numbers and backward errors of polynomial eigenvalue problems under Möbius transformations 2016
  • Global backward error analyses for polynomial eigenvalue problems solved via linearizations 2016
  • Matrix equations and backward error bounds for polynomial eigenproblems solved via linearizations 2016
  • On the backward stability of polynomial root-finding methods using matrix pencils 2016
  • Parameterized condition numbers for the solution of quasiseparable linear systems 2016
  • Parameterized condition numbers for the solution of quasiseparable linear systems 2016
  • Paul Van Dooren's index sum theorem: to infinity and beyond 2016
  • Sign characteristic of Hermitian linearizations of Hermitian matrix polynomials 2016
  • Strong linearizations of rational matrices 2016
  • Strong linearizations of rational matrices: theory and explicit constructions 2016
  • Structure-Revealing condensed forms for matrix polynomials 2016
  • The effect of Möbius transformations on the eigenvalue condition numbers of polynomial eigenvalue problems 2016
  • Two-Level Orthogonal Arnoldi Method for Large Rational Eigenvalue Problems 2016
  • Two-level orthogonal Arnoldi method for large-scale rational eigenvalue problems 2016
  • Computing matrix symmetrizers, leading to open matrix optimization problems 2015
  • Constructing strong l-ifications 2015
  • Constructing strong l-ifications of arbitrary degree 2015
  • Eigenvalue condition numbers of polynomial eigenvalue problems under Möbius transformations 2015
  • Eigenvalue condition numbers of polynomial eigenvalue problems under Möbius transformations 2015
  • Hermitian linearizations of Hermitian matrix polynomials preserving the sign characteristic 2015
  • Inverse eigenstructure problems for matrix polynomials 2015
  • Linearizations of Hermitian matrix polynomials preserving the sign characteristic 2015
  • Linearizations of Hermitian matrix polynomials preserving the sign characteristic 2015
  • Linearizations of rational function matrices 2015
  • Low rank perturbation of canonical forms 2015
  • Low rank perturbation of canonical forms 2015
  • Low rank perturbations of canonical forms 2015
  • Matrix polynomials with completely prescribed eigenstructure.  302-328. 2015
  • Parameterized condition numbers for quasiseparable matrices 2015
  • Perturbation theory of the Moore-Penrose inverse and the least squares problema. 2015
  • Polynomial Zigzag matrices, dual minimal bases, and applications 2015
  • Projection methods for large T-Sylvester equations 2015
  • Quasi-Canonical forms for matrix polynomials 2015
  • Recent advances on inverse problems for matrix polynomials 2015
  • Relative perturbation theory for diagonally dominant matrices 2015
  • Structured condition numbers for the solution of parameterized quasiseparable linear systems 2015
  • Structured linearizations that preserve the sign characteristic of Hermitian matrix polynomials 2015
  • Two-Level orthogonal Arnoldi method for large rational eigenvalue problems 2015
  • Volker Mehrmann and modern factorizations of symplectic matrices 2015
  • Backward stability of polynomial root-finding using Fiedler companion matrices 2014
  • Backward stability of polynomial root-finding using Fiedler companion matrices 2014
  • Backward stability of polynomial root-finding using Fiedler companion matrices 2014
  • Dual minimal bases and inverse problems for polynomial matrices 2014
  • New Properties of Vector Spaces of (Quasi) Linearizations 2014
  • Quasi-Canonical Forms for Quadratic Matrix Polynomials 2014
  • Quasi-Canonical forms for quadratic matrix polynomials 2014
  • Sylvester equations and the matrix symmetrizer problem 2014
  • The general inverse matrix polynomial index structure problem 2014
  • The inverse complex eigenvector problem for real tridiagonal matrices 2014
  • Alan Turing and the origins of modern Gaussian elimination.  1-21. 2013
  • Condition numbers for inversion of Fiedler companion matrices.  944-981. 2013
  • Highly accurate numerical linear algebra 2013
  • Spectral equivalence of Matrix Polynomials, the Index Sum Theorem and consequences.  264-333. 2013
  • Spectral equivalence of Matrix Polynomials, the Index Sum Theorem and consequences 2013
  • Structured Backward Relative Error Bounds for Eigenvalues of Tridiagonal Matrices.  31. 2013
  • Structured eigenvalue condition numbers for parameterized quasiseparable matrices 2013
  • Structured eigenvalue condition numbers for parameterized quasiseparable matrices 2013
  • Computing accurance eigenvalues and eigenvectors of gradede symmetric indefinite matrices 2012
  • Condition numbers of Fiedler companion matrices 2012
  • Eigenvector recovery of linearizations and the condition number of eigenvalues of matrix polynomials.  64-64. 2012
  • Highly accurate numerical linear algebra via rank revealing decompositions.  42-42. 2012
  • Inverses and condition numbers of Fiedler companion matrices 2012
  • Parametrization of generalized LU factorizations of singular matrice 2012
  • Quadratic realizability for structured matrix polynomials.  64-64. 2012
  • Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix.  54-54. 2012
  • Sensitivity problems for Fiedler matrices 2012
  • Stability of numerical algorithms with quasiseparable matrices.  42-42. 2012
  • Structured eigenvalue condition numbers for parameterized quasiseparable matrices.  22-22. 2012
  • Structured perturbation theory for diagonally dominant matrices 2012
  • The Sylvester equation for congruence and some related equations 2012
  • Accurate Solution of Structured Linear System and Least Square Problems Through Rank Revealing Decompositions 2011
  • Accurate Solutions of Structured Linear Systems and Linear Square Problems 2011
  • Accurate solution of the least squares problems via rank-revealing decomposition.  100-100. 2011
  • Condition numbers of Fieldles Companion matrices.  123. 2011
  • Consistency and efficient solution of the Sylvester equation for ⋆-congruence: AX + X⋆B = C.  217-217. 2011
  • Consistency and efficient solution of the Sylvester equation for congruence: AX+X?B = C.  104-104. 2011
  • Fiedler linearizations of matrix polynomials.  35-35. 2011
  • Implicit Jacobi Algorithm for the SVD with High Relative Accuracy 2011
  • Palindromic pencils, orbits, and the solution of the equation XA+AXT = 0 2011
  • Recent Results on Fiedler Linearizations for Matrix Polynomials 2011
  • Recovery of eigenvectors of matrix polynomials from generalized Fiedler linearizations.  139-139. 2011
  • Recovery of eigenvectors of matrix polynomials from generalized Fielder linearizations.  121-121. 2011
  • Stability of QR-based system solvers for a subclass of Quasiseparable Order One matrices.  41. 2011
  • Structured Perturbation Theory for Diagonally Dominant Matrices and Numerical Applications 2011
  • Structured perturbation theory of diagonally dominant matrices and numerical applications 2011
  • The Elementary Divisor Structure of Quadratic Matrix Polynomials.  33-33. 2011
  • The Quadratic Realizability Problem for Matrix Polynomials 2011
  • The solution of the equation XA+AXT = 0 and its application to the theory of orbits.  56-56. 2011
  • An Orthogonal and Symmetric High Relative Accuracy Algorithm for the Symmetric Eigenproblem 2008
  • Doubly Structured Sets of Symplectic Matrices 2008
  • Implicit Jacobi Algorithms for the Symmetric Eigen Problem 2008
  • Implicit Standard Jacobi Gives High Relative Accuracy on Rank Revealing Decompositions 2008
  • Linearizations of Singular Matrix Polynomials and the Recovery of Minimal Indices 2008
  • Linearizations of Singular Matrix Polynomials and the Recovery of Minimal Indices.  104-105. 2008
  • Linearizations of Singular Matrix Polynomials and the Recovery of Minimal Indices 2008
  • The Compensation Game for the Real Nonnegative Inverse Eigenvalue Problem 2008