sample of publications

• articles 

  • Frequency isolation for gyroscopic systems via hyperbolic quadratic eigenvalue problems.  MECHANICAL SYSTEMS AND SIGNAL PROCESSING.  184. 2023
  • On bundles of matrix pencils under strict equivalence.  LINEAR ALGEBRA AND ITS APPLICATIONS.  658:1-31. 2023
  • On the consistency of the matrix equation XT AX=B when B is symmetric: the case where CFC(A) includes skew-symmetric blocks.  Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas.  117. 2023
  • The equation X^TAX=B with B skew-symmetric: how much of a bilinear form is skew-symmetric?.  LINEAR & MULTILINEAR ALGEBRA.  2022
  • Corrigendum to "A note on generalized companion pencils".  Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas.  115:1-5. 2021
  • On the Consistency of the Matrix Equation X¿ AX = B when B is Symmetric.  Mediterranean Journal of Mathematics.  18. 2021
  • Low rank perturbation of regular matrix pencils with symmetry structures.  FOUNDATIONS OF COMPUTATIONAL MATHEMATICS.  22:257-311. 2021
  • Structured strong l-ifications for structured matrix polynomials in the monomial basis.  Electronic Journal of Linear Algebra.  37:35-71. 2021
  • Generic symmetric matrix pencils with bounded rank.  Journal of Spectral Theory.  10:905-926. 2020
  • Generic symmetric matrix polynomials with bounded rank and fixed odd grade.  SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS.  41:1033-1058. 2020
  • Backward error and conditioning of Fiedler linearizations.  MATHEMATICS OF COMPUTATION.  89:1259-1300. 2020
  • A note on generalized companion pencils in the monomial basis.  Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas.  114:1-17. 2019
  • Nonsingular systems of generalized Sylvester equations: An algorithmic approach.  NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS.  26:1-35. 2019
  • Quadratic realizability of palindromic matrix polynomials.  LINEAR ALGEBRA AND ITS APPLICATIONS.  567:202-262. 2019
  • A Geometric Description of the Sets of Palindromic and Alternating Matrix Pencils with Bounded Rank.  SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS.  39:1116-1134. 2018
  • Corrigendum to "Solvability and uniqueness criteria for generalized Sylvester-type equations".  LINEAR ALGEBRA AND ITS APPLICATIONS.  542:522-526. 2018
  • Solvability and uniqueness criteria for generalized Sylvester-type equations.  LINEAR ALGEBRA AND ITS APPLICATIONS.  542:501-521. 2018
  • 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
  • Constructing strong l-ifications from dual minimal bases.  LINEAR ALGEBRA AND ITS APPLICATIONS.  495:344-372. 2016
  • Uniqueness of solution of a generalized star-Sylvester matrix equation.  LINEAR ALGEBRA AND ITS APPLICATIONS.  493:323-335. 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
  • Matrix Polynomials with Completely Prescribed Eigenstructure.  SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS.  36:302-328. 2015
  • Spectral equivalence of matrix polynomials and the Index Sum Theorem.  LINEAR ALGEBRA AND ITS APPLICATIONS.  459:264-333. 2014
  • New bounds for roots of polynomials based on Fiedler companion matrices.  LINEAR ALGEBRA AND ITS APPLICATIONS.  451:197-230. 2014
  • Flanders' theorem for many matrices under commutativity assumptions.  LINEAR ALGEBRA AND ITS APPLICATIONS.  443:120-138. 2014
  • Eigenvectors and minimal bases for some families of Fiedler-like linearizations.  LINEAR & MULTILINEAR ALGEBRA.  62:39-62. 2014
  • The solution of the equation AX+BX*=0.  LINEAR & MULTILINEAR ALGEBRA.  61:1605-1628. 2013
  • The solution of the equation AX+X*B=0.  LINEAR ALGEBRA AND ITS APPLICATIONS.  438:2817-2860. 2013
  • Fiedler companion linearizations for rectangular matrix polynomials.  LINEAR ALGEBRA AND ITS APPLICATIONS.  437:957-991. 2012
  • On the perturbation of singular analytic matrix functions: A generalization of Langer and Najman's results.  Operators and Matrices.  5:553-564. 2011
  • Palindromic companion forms for matrix polynomials of odd degree.  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS.  236:1464-1480. 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
  • Linearizations of Singular Matrix Polynomials and the Recovery of Minimal Indices.  Electronic Journal of Linear Algebra.  18:371-402. 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
  • Low Rank Perturbation Of Weierstrass Structure.  SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS.  30:538-547. 2008

• book chapters 

  • A class of quasi-sparse companion pencils. In: Structured matrices in numerical linear algebra: analysis, algorithms and applications.  Springer Nature Switzerland AG. 157-179. 2019

• conference contributions 

  • A survey on NLEVPs and multiparameter eigenvalue problems.  38-38. 2019
  • Structured companion quadratifications of matrix polynomials.  229-229. 2019
  • Uniqueness of solution of generalized Sylvester-like equations with rectangular coefficients 2019
  • Uniqueness of solution of generalized Sylvester-like equations with rectangular coefficients 2019
  • Dual minimal bases of polynomial matrices and applications 2017
  • Polynomial root-finding using companion matrices.  6-6. 2017
  • Polynomial root-finding using companion matrices.  163-163. 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
  • Solution of Sylvester-like equations and systems: consistency, uniqueness, and some applications 2016
  • Uniqueness of solution of a generalized *-Sylvester equation. 2016
  • Uniqueness of solution of systems of generalized Sylvester and *-Sylvester equations 2016
  • Constructing strong l-ifications 2015
  • Constructing strong l-ifications of arbitrary degree 2015
  • Inverse eigenstructure problems for matrix polynomials 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
  • Polynomial Zigzag matrices, dual minimal bases, and applications 2015
  • Quasi-Canonical forms for matrix polynomials 2015
  • Recent advances on inverse problems for matrix polynomials 2015
  • Backward error and conditioning of Fiedler companion linearizations 2014
  • Backward error and conditioning of Fiedler linearizations 2014
  • 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
  • Quasi-Canonical Forms for Quadratic Matrix Polynomials 2014
  • Quasi-Canonical forms for quadratic matrix polynomials 2014
  • The general inverse matrix polynomial index structure problem 2014
  • Condition numbers for inversion of Fiedler companion matrices.  944-981. 2013
  • Regular and singular matrix polynomials. Spectral information. Linearizations 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
  • Condition numbers of Fiedler companion matrices 2012
  • Eigenvector recovery of linearizations and the condition number of eigenvalues of matrix polynomials.  64-64. 2012
  • Inverses and condition numbers of Fiedler companion matrices 2012
  • Quadratic realizability for structured matrix polynomials.  64-64. 2012
  • Sensitivity problems for Fiedler matrices 2012
  • The Sylvester equation for congruence and some related equations 2012
  • Condition numbers of Fieldles Companion matrices.  123. 2011
  • Congruence orbits of matrices and palindromic pencils, and the solution of the equation XA+AX^T=0 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
  • 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
  • The Elementary Divisor Structure of Quadratic Matrix Polynomials.  33-33. 2011
  • The Quadratic Realizability Problem for Matrix Polynomials 2011
  • The Theory of Orbits in Numerical Linear Algebra and Control Theory.  54-54. 2011
  • The solution of the equation XA+AXT = 0 and its application to the theory of orbits.  56-56. 2011
  • 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