Parametrization of generalized LU factorizations of singular matrice - Martinez Dopico, Froilan Cesar; Molera Molera, Juan Manuel (ALAMA Meeting 2012, 2012)

Computing accurance eigenvalues and eigenvectors of gradede symmetric indefinite matrices - Ceballos Cañon, Johan Armando; Martinez Dopico, Froilan Cesar; Molera Molera, Juan Manuel (ALAMA Meeting 2012, 2012)

Accurate Solution of Structured Linear System and Least Square Problems Through Rank Revealing Decompositions - Castro Gonzalez, Nieves; Ceballos Cañon, Johan Armando; Martinez Dopico, Froilan Cesar; Molera Molera, Juan Manuel (Householder Symposium XVIII on Numerical Linear Algebra, 2011)

Perturbation theory of the Moore-Penrose inverse and the least squares problema. - Castro Gonzalez, Nieves; Martinez Dopico, Froilan Cesar; Molera Molera, Juan Manuel (Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory”, Conference in Honor of Volker Mehrmann on the occasion of his 60th birthday, 2015)

Implicit Standard Jacobi Gives High Relative Accuracy - Martinez Dopico, Froilan Cesar; Koev, Plamen; Molera Molera, Juan Manuel (NUMERISCHE MATHEMATIK, 2009)

Accurate Solutions of Structured Linear Systems and Linear Square Problems - Ceballos Cañon, Johan Armando; Martinez Dopico, Froilan Cesar; Molera Molera, Juan Manuel; Castro Gonzalez, Nieves (ICIAM 2011 7 th International Congress on Industrial and Applied Mathematics: Minisymposium structures Matrices: Applications, Theory and Algorithms, 2011)

An Orthogonal and Symmetric High Relative Accuracy Algorithm for the Symmetric Eigenproblem - Martinez Dopico, Froilan Cesar; Koev, P; Molera Molera, Juan Manuel (Householder Symposium XVII, 2008)

Implicit Jacobi Algorithm for the SVD with High Relative Accuracy - Ceballos Cañon, Johan Armando; Martinez Dopico, Froilan Cesar; Molera Molera, Juan Manuel (XVIII Congreso Colombiano de Matemáticas, 2011)

Accurate solution of structured linear systems via rank-revealing decompositions - Martinez Dopico, Froilan Cesar; Molera Molera, Juan Manuel (IMA JOURNAL OF NUMERICAL ANALYSIS, 2012)

Implicit Standard Jacobi Gives High Relative Accuracy on Rank Revealing Decompositions - Martinez Dopico, Froilan Cesar; Koev, P; Molera Molera, Juan Manuel (VII International Workshop on Accurate Solution of Eigenvalue Problems, 2008)

Álgebra lineal numérica: teoría, estructura y algoritmos - Martinez Dopico, Froilan Cesar; Molera Molera, Juan Manuel; Bueno Cachadiña, Maria Isabel; Teran Vergara, Fernando De; Oulad Yakhlef, Hossain; Ceballos Cañon, Johan Armando (2010)

Álgebra Lineal Numérica Estructurada: Polinomios matriciales, matrices especiales y condicionamiento - Martinez Dopico, Froilan Cesar; Molera Molera, Juan Manuel; Teran Vergara, Fernando De; Ceballos Cañon, Johan Armando; Gonzalez Pizarro, Javier Andres; Perez Alvaro, Javier; Pomes Portal, Kenet Jorge; Anguas Marquez, Luis Miguel (2013)

Algoritmos precisos y estables en Álgebra Lineal Numérica. - Martinez Dopico, Froilan Cesar; Molera Molera, Juan Manuel; Veiga Veiga, Maria Pilar; Alcantara Ortega, Javier; Bueno Cachadiña, Maria Isabel; Ceballos Cañon, Johan Armando (2006)

Álgebra Lineal Numérica Estructurada para Matrices Constantes, Polinomiales y Racionales - Martinez Dopico, Froilan Cesar; Molera Molera, Juan Manuel; Teran Vergara, Fernando De (2016)

Sharp Lower Bounds for the Dimension of Linearizations of Matrix Polynomials - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar (Electronic Journal of Linear Algebra, 2008)

Two-Level Orthogonal Arnoldi Method for Large Rational Eigenvalue Problems - Gonzalez Pizarro, Javier Andres; Martinez Dopico, Froilan Cesar (Encuentro de la red de Álgebra Lineal, Análisis Matricial y Aplicaciones (ALAMA), 2016)

Quasi-Canonical forms for matrix polynomials - Mackey, D.s; Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Perovic, V.; Tisseur, F.; Van Dooren, Paul (MAT TRIAD 2015 (Conference on Matrix Analysis and its Applications), 2015)

Paul Van Dooren's index sum theorem: to infinity and beyond - Martinez Dopico, Froilan Cesar (Colloquium in honor of Paul Van Dooren on becoming Emeritus Professor, 2016)

Eigenvalue condition numbers and pseudospectra of Fiedler matrices - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Perez Alvaro, Javier (CALCOLO, 2017)

Recovery of eigenvectors of matrix polynomials from generalized Fielder linearizations - Martinez Dopico, Froilan Cesar; Bueno Cachadiña, Maria Isabel; Teran Vergara, Fernando De; Mackey, Don Steven (17th Conference of the International Linear Algebra Society ILAS 2011, 2011)

Constructing strong l-ifications from dual minimal bases - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Van Dooren, Paul (LINEAR ALGEBRA AND ITS APPLICATIONS, 2016)

The Inverse Eigenvector Problem for Real Tridiagonal Matrices - Parlett, Beresford; Martinez Dopico, Froilan Cesar; Ferreira, Carla (SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2016)

Spectral equivalence of matrix polynomials and the Index Sum Theorem - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Mackey, Don Steven (LINEAR ALGEBRA AND ITS APPLICATIONS, 2014)

Normas, matrices reales, vectores complejos - Martinez Dopico, Froilan Cesar; Sanz Serna, Jesus Maria (La Gaceta de la Real Sociedad Matemática Española, 2019)

Matrix polynomials with bounded rank and degree: generic eigenstructures and explicit descriptions. - Dmytryshyn, A.; Martinez Dopico, Froilan Cesar; Van Dooren, Paul (INdAM (Istituto Nazionale di Alta Matematica) Meeting Structured Matrices in Numerical Linear Algebra: Analysis, Algorithms and Applications., 2017)

Relative perturbation theory for diagonally dominant matrices - Dailey, Megan; Martinez Dopico, Froilan Cesar; Ye, Qiang (8th International Congress on Industrial and Applied Mathematics (ICIAM2015), 2015)

The Compensation Game for the Real Nonnegative Inverse Eigenvalue Problem - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Moro Carreño, Julio (Workshop on Nonnegative Matrices and Related Topics, 2008)

Computing matrix symmetrizers, part 2: New methods using eigendata and linear means; a comparison - Martinez Dopico, Froilan Cesar; Uhlig, F. (LINEAR ALGEBRA AND ITS APPLICATIONS, 2016)

Linearizations of Hermitian matrix polynomials preserving the sign characteristic - Bueno Cachadiña, Maria Isabel; Martinez Dopico, Froilan Cesar; Furtado, S. (SIAM Conference on Applied Linear Algebra, 2015)

Low rank perturbation of canonical forms - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Moro Carreño, Julio (Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory”, Conference in Honor of Volker Mehrmann on the occasion of his 60th birthday, 2015)

Fiedler companion linearizations for rectangular matrix polynomials - Diaz De Teran Lopez, Cesar; Dopico Gomez-aller, Jacobo; Steven, Mackey D (LINEAR ALGEBRA AND ITS APPLICATIONS, 2012)

First Order Spectral Perturbation Theory of Square Singular Matrix Pencils - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Moro Carreño, Julio (LINEAR ALGEBRA AND ITS APPLICATIONS, 2008)

Eigenvector recovery of linearizations and the condition number of eigenvalues of matrix polynomials - Teran Vergara, Fernando De; Bueno Cachadiña, Maria Isabel; Martinez Dopico, Froilan Cesar; Mackey, Don Steven (SIAM 2012 Conference on Applied Linear Algebra, 2012)

Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems - Martinez Dopico, Froilan Cesar; Marcaida, Silvia; Quintana Ponce, Maria Del Carmen; Van Dooren, Paul (LINEAR ALGEBRA AND ITS APPLICATIONS, 2020)

Constructing new classes of strong linearizations of rational matrices - Martinez Dopico, Froilan Cesar; Quintana Ponce, Maria Del Carmen (11th Workshop of Young Researchers in Mathematics, 2017)

Block Kronecker linearizations of matrix polynomials and their backward errors - Martinez Dopico, Froilan Cesar; Lawrence, Piers W; Van Dooren, Paul; Perez, Javier (Conference Numerical Linear Algebra with Applications (NL2A), 2016)

Generic change of the partial multiplicities of regular matrix pencils under low-rank perturbations - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar (SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2016)

Structured eigenvalue condition numbers for parameterized quasiseparable matrices - Martinez Dopico, Froilan Cesar (18th Conference of the International Linear Algebra Society, 2013)

A Note On Generic Kronecker Orbits Of Matrix Pencils With Fixed Rank - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar (SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2008)

Robustness and perturbations of minimal bases - Van Dooren, Paul; Martinez Dopico, Froilan Cesar (Minisymposium M̈atrix Polynomialsën la 21st Conference of the International Linear Algebra Society (ILAS 2017: Connections), 2017)

The Sylvester equation for congruence and some related equations - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar (ALAMA Meeting 2012, 2012)

Linearizations of Singular Matrix Polynomials and the Recovery of Minimal Indices - Mackey, D.s; Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar (Electronic Journal of Linear Algebra, 2009)

Parameterized condition numbers for the solution of quasiseparable linear systems - Martinez Dopico, Froilan Cesar; Pomes Portal, Kenet Jorge (Encuentro de Álgebra Lineal, Análisis Matricial y Aplicaciones, ALAMA 2016, 2016)

Projection methods for large T-Sylvester equations - Martinez Dopico, Froilan Cesar; Gonzalez Pizarro, Javier Andres; Kressner, Daniel; Simoncini, Valeria (Workshop on Matrix Equations and Tensor Techniques, 2015)

Alan Turing and the origins of modern Gaussian elimination = Alan Turing y los orígenes de la eliminación gaussiana moderna - Martinez Dopico, Froilan Cesar (Arbor (Arbor), 2013)

Structured condition numbers for linear systems with parameterized quasiseparable coefficient matrices - Martinez Dopico, Froilan Cesar; Pomes Portal, Kenet Jorge (NUMERICAL ALGORITHMS, 2016)

Generic matrix polynomials with fixed rank and fixed degree. - Dmytryshyn, A.; Martinez Dopico, Froilan Cesar (Minisymposium Matrix Polynomials en la 21st Conference of the International Linear Algebra Society (ILAS 2017: Connections)”., 2017)

Polynomial Zigzag matrices, dual minimal bases, and applications - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Mackey, D.s; Van Dooren, P. (26th International Workshop on Operator Theory and its Applications, (IWOTA) 2015, 2015)

The solution of the equation XA + AX(T)=0 and its application to the theory of orbits - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar (LINEAR ALGEBRA AND ITS APPLICATIONS, 2011)

Recent Results on Fiedler Linearizations for Matrix Polynomials - Martinez Dopico, Froilan Cesar; Bueno Cachadiña, Maria Isabel; Teran Vergara, Fernando De; Mackey, Don Steven (7th International Congress on Industrial and Applied Mathematics (ICIAM2011): Thematic Minisymposia: Nonlinear Eigenvalue Problems, 2011)

Quasi-Canonical Forms for Quadratic Matrix Polynomials - Mackey, D.s; Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Perovic, V.; Tisseur, F. (Householder Symposium XIX on Numerical Linear Algebra, 2014)

Backward stability of polynomial root-finding using Fiedler companion matrices - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Perez Alvaro, Javier (The 19th International Linear Algebra Society Conference (ILAS2014), 2014)

Volker Mehrmann and modern factorizations of symplectic matrices - Martinez Dopico, Froilan Cesar (Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory”, Conference in Honor of Volker Mehrmann on the occasion of his 60th birthday, 2015)

Sign characteristic of Hermitian linearizations of Hermitian matrix polynomials - Furtado, S.; Breen, J.; Bueno Cachadiña, Maria Isabel; Martinez Dopico, Froilan Cesar; Ford, S. (20th Conference of the International Linear Algebra Society, 2016)

Highly accurate numerical linear algebra - Martinez Dopico, Froilan Cesar (XXIII Congreso de Ecuaciones Diferenciales y Aplicaciones-XIII Congreso de Matemática Aplicada (XXIII CEDYA / XIII CMA 2013), 2013)

Condition numbers of Fiedler companion matrices - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Perez Alvaro, Javier (Tercer Encuentro ALAMA 2012, 2012)

Strong linearizations of rational matrices: theory and explicit constructions - Amparan, A.; Martinez Dopico, Froilan Cesar; Marcaida, S.; Zaballa, I. (Conference Numerical Linear Algebra with Applications (NL2A), 2016)

An explicit description of the irreducible components of the set of matrix pencils with bounded normal rank - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Landsberg, J.m. (LINEAR ALGEBRA AND ITS APPLICATIONS, 2017)

Computing matrix symmetrizers, leading to open matrix optimization problems - Martinez Dopico, Froilan Cesar; Uhlig, F. (26th International Workshop on Operator Theory and its Applications, (IWOTA) 2015, 2015)

Conditioning and backward errors of eigenvalues of homogeneous matrix polynomials under Möbius transformations - Anguas Marquez, Luis Miguel; Bueno Cachadiña, Maria Isabel; Martinez Dopico, Froilan Cesar (MATHEMATICS OF COMPUTATION, 2019)

Structured perturbation theory of diagonally dominant matrices and numerical applications - Martinez Dopico, Froilan Cesar (Householder Symposium XVIII on Numerical Linear Algebra, 2011)

Robustness and perturbations of minimal bases II: The case with given row degrees - Martinez Dopico, Froilan Cesar; Van Dooren, Paul (LINEAR ALGEBRA AND ITS APPLICATIONS, 2019)

Paul Van Dooren's Index Sum Theorem and the solution of the inverse rational eigenvalue problem. - Martinez Dopico, Froilan Cesar; Anguas Marquez, Luis Miguel; Hollister, R.; Mackey, D.s (Minisymposium “Matrix Polynomials” en la “21st Conference of the International Linear Algebra Society (ILAS 2017: Connections)”., 2017)

Structure-Revealing condensed forms for matrix polynomials - Mackey, D.s; Martinez Dopico, Froilan Cesar; Van Dooren, Paul (20th Conference of the International Linear Algebra Society, 2016)

The Elementary Divisor Structure of Quadratic Matrix Polynomials - Mackey, Don Steven; Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Al-ammari, Maha; Tisseur, Francoise (17th Conference of the International Linear Algebra Society ILAS 2011: Minisymposium: Matrix Polynomials and Their Eigenproblems, 2011)

Highly accurate numerical linear algebra via rank revealing decompositions - Martinez Dopico, Froilan Cesar (2012 SIAM Conference on Applied Linear Algebra, 2012)

Global backward error analysis of polynomial eigenvalue problems - Martinez Dopico, Froilan Cesar; Lawrence, P.; Perez, J.; Van Dooren, Paul (High Performance Computing in Science and Engineering Conference, 2017)

New Properties of Vector Spaces of (Quasi) Linearizations - Martinez Dopico, Froilan Cesar; Nakatsukasa, Y.; Noferini, V. (The Householder Symposium XIX on Numerical Linear Algebra, 2014)

Parameterized condition numbers for quasiseparable matrices - Pomes Portal, Kenet Jorge; Martinez Dopico, Froilan Cesar (20th Conference of the International Linear Algebra Society, 2015)

Palindromic pencils, orbits, and the solution of the equation XA+AXT = 0 - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar (Mopnet 4, 2011)

Low Rank Perturbation of Regular Matrix Polynomials - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar (LINEAR ALGEBRA AND ITS APPLICATIONS, 2009)

Perturbation theory for the LDU factorization and accurate computations for diagonally dominant matrices - Martinez Dopico, Froilan Cesar; Koev, P (NUMERISCHE MATHEMATIK, 2011)

The action of Möbius transformations on the eigenvalue condition numbers and the backward errors of polynomial eigenvalue problems. - Anguas Marquez, Luis Miguel; Martinez Dopico, Froilan Cesar (XXV Congreso de Ecuaciones Diferenciales y Aplicaciones / XV Congreso de Matemática Aplicada (CEDYA + CMA 2017), 2017)

Generic symmetric matrix pencils with bounded rank - Teran Vergara, Fernando De; Dmytryshyn, Andrii; Martinez Dopico, Froilan Cesar (Journal of Spectral Theory, 2020)

Strong Linearizations of Rational Matrices - Marcaida, S.; Amparan, A.; Martinez Dopico, Froilan Cesar; Zaballa, I. (SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2018)

Structured linearizations that preserve the sign characteristic of Hermitian matrix polynomials - Bueno Cachadiña, Maria Isabel; Martinez Dopico, Froilan Cesar; Furtado, S. (8th International Congress on Industrial and Applied Mathematics (ICIAM 2015), 2015)

Matrix Polynomials with Completely Prescribed Eigenstructure - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Van Dooren, Paul (SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2015)

Inverses and condition numbers of Fiedler companion matrices - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Perez, J. (2012 Meeting on the occassion of Hans Schneider´s retirement as an Editor-in-Chief of LAA: Linear Algebra and its Apllications, 2012)

Alan Turing and the origins of modern Gaussian elimination - Martinez Dopico, Froilan Cesar (International Symposium: The Alan Turing legacy, 2013)

Stability of QR-based system solvers for a subclass of Quasiseparable Order One matrices - Zhlobich, P.; Martinez Dopico, Froilan Cesar; Olshevsky, Vadim (17th Conference of the International Linear Algebra Society ILAS 2011: Invited Minisymposium: Quasi- and Semiseparable matrices, 2011)

The equation XA+AX*=0 and the dimension of *congruence orbits* - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar (Electronic Journal of Linear Algebra, 2011)

Fiedler Companion Linearizations and the Recovery of Minimal Indices - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Mackey, D. Steven (SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2010)

Local linearizations of rational matrices with application to nonlinear eigenvalue problems - Martinez Dopico, Froilan Cesar (The International Conference Mathematical Modeling with Applications (M2A19), 2019)

The Quadratic Realizability Problem for Matrix Polynomials - Mackey, Don Steven; Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Al-ammari, M.; Tisseur, F. (Householder Symposium XVIII on Numerical Linear Algebra, 2011)

New bounds for roots of polynomials based on Fiedler companion matrices - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Perez Alvaro, Javier (LINEAR ALGEBRA AND ITS APPLICATIONS, 2014)

Eigenvalue condition numbers of polynomial eigenvalue problems under Möbius transformations - Anguas Marquez, Luis Miguel; Martinez Dopico, Froilan Cesar (SIAM Conference on Applied Linear Algebra, 2015)

A compact rational Krylov method for large-scale rational eigenvalue problems - Martinez Dopico, Froilan Cesar; Gonzalez Pizarro, Javier Andres (NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2019)

Sensitivity problems for Fiedler matrices - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Perez Alvaro, Javier (Workshop of Young Researchers in Mathematics 2012, 2012)

Structured backward error analysis of linearized structured polynomial eigenvalue problems - Martinez Dopico, Froilan Cesar; Perez, Javier; Van Dooren, Paul (MATHEMATICS OF COMPUTATION, 2019)

Large vector spaces of block-symmetric strong linearizations of matrix polynomials - Bueno, M. I.; Martinez Dopico, Froilan Cesar; Furtado, S.; Rychnovsky, M. (LINEAR ALGEBRA AND ITS APPLICATIONS, 2015)

Fiedler linearizations of matrix polynomials - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar (ILAS 2011 Conference Pure and Applied Linear Algebra: The new Generation, 2011)

Consistency and efficient solution of the Sylvester equation for ⋆-congruence - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar (Electronic Journal of Linear Algebra, 2011)

Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade - Dmytryshyn, Andrii; Martinez Dopico, Froilan Cesar (LINEAR ALGEBRA AND ITS APPLICATIONS, 2018)

Consistency and efficient solution of the Sylvester equation for ⋆-congruence: AX + X⋆B = C - Martinez Dopico, Froilan Cesar; Teran Vergara, Fernando De (XXII Congreso de Ecuaciones Diferenciales y Aplicaciones XII Congreso de Matemática Aplicada, 2011)

The effect of Möbius transformations on the eigenvalue condition numbers of polynomial eigenvalue problems - Anguas Marquez, Luis Miguel; Martinez Dopico, Froilan Cesar (Encuentro de Álgebra Lineal, Análisis Matricial y Aplicaciones, ALAMA 2016, 2016)

A simplified approach to Fiedler-like pencils via block minimal bases pencils - Bueno, M. I.; Martinez Dopico, Froilan Cesar; Perez, J.; Saavedra, R.; Zykoski, B. (LINEAR ALGEBRA AND ITS APPLICATIONS, 2018)

Matrix equations and backward error bounds for polynomial eigenproblems solved via linearizations - Martinez Dopico, Froilan Cesar; Lawrence, P.; Perez, J.; Van Dooren, Paul (Encuentro de Álgebra Lineal, Análisis Matricial y Aplicaciones, ALAMA 2016, 2016)

Generic complete eigenstructures for sets of matrix polynomials with bounded rank and degree - Dmytryshyn, Andrii; Martinez Dopico, Froilan Cesar (LINEAR ALGEBRA AND ITS APPLICATIONS, 2017)

On minimal bases and indices of rational matrices and their linearizations - Amparam, Agurtzane; Martinez Dopico, Froilan Cesar; Marcaida, Silvia; Zaballa, Ion (LINEAR ALGEBRA AND ITS APPLICATIONS, 2021)

Linearizations of rational function matrices - Zaballa, I.; Amparan, A.; Martinez Dopico, Froilan Cesar; Marcaida, S. (MAT TRIAD 2015 (Conference on Matrix Analysis and its Applications), 2015)

Bidiagonal Decompositions of Oscillating Systems of Vectors - Martinez Dopico, Froilan Cesar; Koev, Plamen (LINEAR ALGEBRA AND ITS APPLICATIONS, 2008)

Backward stability of polynomial root-finding via matrices and matrix pencils - Martinez Dopico, Froilan Cesar; Teran Vergara, Fernando De; Lawrence, P.; Perez, J.; Van Dooren, Paul (Workshop on Trends in Computational Mathematics, 2016)

Doubly Structured Sets of Symplectic Matrices - Martinez Dopico, Froilan Cesar (Conference on Structured Linear Algebra Problems: Analysis, Algorithms and Applications, 2008)

Polynomial zigzag matrices, dual minimal bases, and the realization of completely singular polynomials - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Mackey, Don Steven; Van Dooren, Paul (LINEAR ALGEBRA AND ITS APPLICATIONS, 2016)

Eigenvalue condition numbers and backward errors of polynomial eigenvalue problems under Möbius transformations - Anguas Marquez, Luis Miguel; Martinez Dopico, Froilan Cesar (20th Conference of the International Linear Algebra Society, 2016)

A block-symmetric linearization of odd degree matrix polynomials with optimal eigenvalue condition number and backward error - Bueno, M; Martinez Dopico, Froilan Cesar; Furtado, S.; Medina, L (CALCOLO, 2018)

Linearizations of polynomial and rational matrices - Van Dooren, Paul; Martinez Dopico, Froilan Cesar; Lawrence, P.; Perez, J.; Quintana Ponce, Maria Del Carmen (NASCA2018. Numerical Analysis and Scientific Computation with Applications, 2018)

Block minimal bases ¿-ifications of matrix polynomials - Martinez Dopico, Froilan Cesar; Perez Alvaro, Javier; Van Dooren, Paul M. (LINEAR ALGEBRA AND ITS APPLICATIONS, 2019)

The general inverse matrix polynomial index structure problem - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Van Dooren, Paul (Workshop on Nonlinear Eigenvalue Problems, 2014)

Condition numbers for inversion of Fiedler companion matrices - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Perez Alvaro, Javier (International Linear Algebra Society Conference (ILAS 2011), 2013)

Structured backward error analyses of linearized polynomial eigenvalue problems - Perez, J.; Martinez Dopico, Froilan Cesar; Van Dooren, Paul (Householder Symposium XX on Numerical Linear Algebra, 2017)

Product realizations for matrix polynomials. - Martinez Dopico, Froilan Cesar; Mackey, D.s; Van Dooren, Paul (Householder Symposium XX on Numerical Linear Algebra., 2017)

Structured and unstructured backward error analyses of linearized polynomial eigenvalue problems. - Perez, J.; Martinez Dopico, Froilan Cesar; Lawrence, P.; Van Dooren, Paul (XXV Congreso de Ecuaciones Diferenciales y Aplicaciones / XV Congreso de Matemática Aplicada (CEDYA + CMA 2017), 2017)

Constructing strong l-ifications - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Van Dooren, Paul (MAT TRIAD 2015 (Conference on Matrix Analysis and its Applications), 2015)

Dual minimal bases and inverse problems for polynomial matrices - Van Dooren, Paul; Martinez Dopico, Froilan Cesar; Teran Vergara, Fernando De (6th Conference on Structured Numerical Linear and Multilinear Algebra: Analysis, Algorithms and Applications (SLA 2014), 2014)

Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix - Ferreira, C.; Parlett, B.; Martinez Dopico, Froilan Cesar (2012 SIAM Conference on Applied Linear Algebra, 2012)

On the backward stability of polynomial root-finding methods using matrix pencils - Perez, J.; Lawrence, P.; Martinez Dopico, Froilan Cesar; Van Dooren, Paul (20th Conference of the International Linear Algebra Society, 2016)

Quadratic realizability of palindromic matrix polynomials - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Mackey, D. Steven; Perović, Vasilije (LINEAR ALGEBRA AND ITS APPLICATIONS, 2019)

Sylvester equations and the matrix symmetrizer problem - Martinez Dopico, Froilan Cesar; Uhlig, F. (The 2014 International Linear Algebra Society Conference - Satellite conference of ICM 2014, 2014)

A New Perturbation Bound for the LDU Factorization of Diagonally Dominant Matrices - Dailey, Megan; Martinez Dopico, Froilan Cesar; Ye, Qiang (SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2014)

Inverse eigenstructure problems for matrix polynomials - Martinez Dopico, Froilan Cesar; Teran Vergara, Fernando De; Mackey, D.s; Van Dooren, Paul (MAT TRIAD 2015 , Conference on Matrix Analysis and its Applications, 2015)

Parametrization of the Matrix Symplectic Group and Applications - Martinez Dopico, Froilan Cesar; Johnson ., Charles Royal (SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2009)

Preface to the 17th ILAS Conference Pure and Applied Linear Algebra: The New Generation' Proceedings, Braunschweig, Germany, 2011 - Bollhoefer, Matthias; Fassbender, Heike; Bapat, Ravi; Martinez Dopico, Froilan Cesar (LINEAR ALGEBRA AND ITS APPLICATIONS, 2013)

Low Rank Perturbation Of Weierstrass Structure - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Moro Carreño, Julio (SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2008)

A comparison of eigenvalue condition numbers for matrix polynomials - Anguas Marquez, Luis Miguel; Bueno Cachadiña, Maria Isabel; Martinez Dopico, Froilan Cesar (LINEAR ALGEBRA AND ITS APPLICATIONS, 2019)

Implicit Jacobi Algorithms for the Symmetric Eigen Problem - Martinez Dopico, Froilan Cesar (15th International Linear Algebra Society Conference, 2008)

Polynomial eigenvalue problems: linearizations and global backward error analysis. - Martinez Dopico, Froilan Cesar; Lawrence, P.; Perez, J.; Van Dooren, Paul (4th International Symposium on Riordan Arrays and Related Topics, 2017)

Dual minimal bases of polynomial matrices and applications - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Mackey, D.s; Van Dooren, Paul (Householder Symposium XX on Numerical Linear Algebra, 2017)

Special volume on mathematical modeling with applications - Martinez Dopico, Froilan Cesar; Jbilou, Khalide; Seaid, Mohammed (NUMERICAL ALGORITHMS, 2020)

Stability of numerical algorithms with quasiseparable matrices - Zhlobich, Pavel; Martinez Dopico, Froilan Cesar; Olshevsky, Vadim (2012 SIAM Conference on Applied Linear Algebra, 2012)

Quadratic realizability for structured matrix polynomials - Mackey, Don Steven; Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Tisseur, Françoise (2012 SIAM Conference on Applied Linear Algebra, 2012)

Recent advances on inverse problems for matrix polynomials - Martinez Dopico, Froilan Cesar; Teran Vergara, Fernando De; Mackey, D.s; Van Dooren, Paul (SIAM Conference on Applied Linear Algebra, 2015)

Van Dooren's Index Sum Theorem and Rational Matrices with Prescribed Structural Data - Anguas Marquez, Luis Miguel; Martinez Dopico, Froilan Cesar; Hollister, Richard; Mackey, Don Steven (SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2019)

Palindromic companion forms for matrix polynomials of odd degree - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Mackeyc, D. Steven (JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011)

Structured condition numbers for the solution of parameterized quasiseparable linear systems - Pomes Portal, Kenet Jorge; Martinez Dopico, Froilan Cesar (SIAM Conference on Applied Linear Algebra, 2015)

The solution of the equation AX+X*B=0 - Teran Vergara, Fernando De (LINEAR ALGEBRA AND ITS APPLICATIONS, 2013)

Constructing strong l-ifications of arbitrary degree - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Van Dooren, Paul (8th International Congress on Industrial and Applied Mathematics (ICIAM 2015), 2015)

Structured Backward Relative Error Bounds for Eigenvalues of Tridiagonal Matrices - Parlett, B. N.; Martinez Dopico, Froilan Cesar; Ferreira, C. (2013 SIAM Annual Meeting, 2013)

Spectral equivalence of Matrix Polynomials, the Index Sum Theorem and consequences - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar; Mackey, D. Steven (XXIII Congreso de Ecuaciones Diferenciales y Aplicaciones - XIII Congreso de Matemática Aplicada - Castellón (CEDYA 2013), 2013)

Global backward error analyses for polynomial eigenvalue problems solved via linearizations - Martinez Dopico, Froilan Cesar; Lawrence, P.; Perez, J.; Van Dooren, Paul (20th Conference of the International Linear Algebra Society, 2016)

Matrices with Orthogonal Groups Admitting only Determinant One - Coakley, Edward S.; Martinez Dopico, Froilan Cesar; Johnson ., Charles Royal (LINEAR ALGEBRA AND ITS APPLICATIONS, 2008)

Strong linearizations of rational matrices with polynomial part expressed in an orthogonal basis. - Martinez Dopico, Froilan Cesar; Marcaida, Silvia; Quintana Ponce, Maria Del Carmen (SIAM Conference on Applied Linear Algebra (SIAM-ALA18). Minisymposium MS25, Polynomial and Rational Matrices, 2018)

Root polynomials and their role in the theory of matrix polynomials - Martinez Dopico, Froilan Cesar; Noferini, Vanni (LINEAR ALGEBRA AND ITS APPLICATIONS, 2020)

Recovery of eigenvectors and minimal bases of matrix polynomials from generalized Fiedler linearizations - Bueno Cachadiña, Maria Isabel; Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar (SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2011)

Polynomial and rational spectral problems: conditioning, backward errors and inverse problems - Anguas Marquez, Luis Miguel; Martinez Dopico, Froilan Cesar

Krylov methods for large-scale modern problems in numerical linear algebra. - Gonzalez Pizarro, Javier Andres; Martinez Dopico, Froilan Cesar

Structured condition numbers for parameterized quasiseparable matrices - Martinez Dopico, Froilan Cesar; Pomes Portal, Kenet Jorge

LINEARIZATIONS OF RATIONAL MATRICES (LINEALIZACIONES DE MATRICES RACIONALES) - Martinez Dopico, Froilan Cesar; Quintana Ponce, Maria Del Carmen; Marcaida Bengoechea, Silvia

Nuevos problemas sobre matrices dependientes de parámetros y problemas sobre matrices constantes - Martinez Dopico, Froilan Cesar; Teran Vergara, Fernando De; Borobia Vizmanos ., Alberto; Canogar Mckenzie, Roberto; Anguas Marquez, Luis Miguel (2020)

Modelización matemática y simulación numérica en ciencia y tecnología - Ibort Latre, Luis Alberto; Sanchez Sanchez, Angel; Moro Egido, Esteban; Martinez Dopico, Froilan Cesar; Cuerno Rejado, Rodolfo; Moyano, Luis Gregorio (2006)

Accurate solution of the least squares problems via rank-revealing decomposition - Castro Gonzalez, Nieves; Ceballos Cañon, Johan Armando; Martinez Dopico, Froilan Cesar; Molera Molera, Juan Manuel (ILAS 2011 (International Linear Algebra Society), 2011)

CP06: Métodos numéricos, analíticos y geométricos en Teoría de control y Teoría de la señal. - Molera Molera, Juan Manuel; Garcia Garcia, Antonio; Martinez Dopico, Froilan Cesar; Moro Carreño, Julio; Ibort Latre, Luis Alberto; Veiga Veiga, Maria Pilar; Delgado Tellez-cepeda, Marina; Rodriguez De La Peña, Thalia; Alcantara Ortega, Javier; Bueno Cachadiña, Maria Isabel; Teran Vergara, Fernando De; Rodriguez Velazquez, Juan Alberto; et al. (2007)

Projection methods for large-scale T-Sylvester equations - Martinez Dopico, Froilan Cesar; Gonzalez Pizarro, Javier Andres; Kressner, Daniel; Simoncini, Valeria (MATHEMATICS OF COMPUTATION, 2016)

Condition numbers of Fieldles Companion matrices - Perez Alvaro, Javier; Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar (ILAS 2011 17th Conference of the International Linear Algebra Society, 2011)

Generic symmetric matrix polynomials with bounded rank and fixed odd grade - Teran Vergara, Fernando De; Dmytryshyn, Andrii; Martinez Dopico, Froilan Cesar (SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2020)

Stability of QR-based fast system solvers for a subclass of quasiseparable rank one matrices - Martinez Dopico, Froilan Cesar; Olshevsky, Vadim; Zhlobich, Pavel (MATHEMATICS OF COMPUTATION, 2013)

Consistency and efficient solution of the Sylvester equation for congruence: AX+X?B = C - Martinez Dopico, Froilan Cesar; Teran Vergara, Fernando De (17th Conference of the International Linear Algebra Society, 2011)

Local Linearizations of Rational Matrices and their Applications to Nonlinear Eigenvalue Problems - Martinez Dopico, Froilan Cesar; Marcaida, Silvia; Quintana Ponce, Maria Del Carmen; Van Dooren, Paul (International Congress on Industrial and Applied Mathematics (ICIAM2019), 2019)

Two-level orthogonal Arnoldi method for large-scale rational eigenvalue problems - Gonzalez Pizarro, Javier Andres; Martinez Dopico, Froilan Cesar (20th Conference of the International Linear Algebra Society, 2016)

First Order Spectral Perturbation Theory of Square Singular Matrix Polynomials - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar (LINEAR ALGEBRA AND ITS APPLICATIONS, 2010)

Structured perturbation theory for diagonally dominant matrices - Martinez Dopico, Froilan Cesar (ALAMA Meeting, 2012)

The inverse complex eigenvector problem for real tridiagonal matrices - Parlett, Beresford; Martinez Dopico, Froilan Cesar; Ferreira, Carla (Householder Symposium XIX on Numerical Linear Algebra, 2014)

Multiplicative perturbation theory of the Moore-Penrose inverse and the least squares problem - Castro-Gonzalez, Nieves; Dopico, Froilan M.; Molera, Juan M.; (Linear Algebra And Its Applications, 2016)

ACCURATE SOLUTION OF STRUCTURED LEAST SQUARES PROBLEMS VIA RANK-REVEALING DECOMPOSITIONS - Castro-Gonzalez, Nieves; Ceballos, Johan; Dopico, Froilan M.; Molera, Juan M.; (Siam Journal On Matrix Analysis And Applications, 2013)

CP05-Métodos numéricos, analíticos y geométricos en teoría de control y teoría de la señal - PORTAL RUIZ, ALBERTO (Miembro del equipo de investigación) (2006)

Structural backward stability in rational eigenvalue problems solved via block Kronecker linearizations - Martinez Dopico, Froilan Cesar; Quintana Ponce, Maria Del Carmen; Van Dooren, Paul (CALCOLO, 2023)

Quasi-triangularization of matrix polynomials over arbitrary fields - Anguas Marquez, Luis Miguel; Martinez Dopico, Froilan Cesar; Hollister, R.; Mackey, D.s (LINEAR ALGEBRA AND ITS APPLICATIONS, 2023)

On bundles of matrix pencils under strict equivalence - Teran Vergara, Fernando De; Martinez Dopico, Froilan Cesar (LINEAR ALGEBRA AND ITS APPLICATIONS, 2023)

Diagonal scalings for the eigenstructure of arbitrary pencils - Martinez Dopico, Froilan Cesar; Quintana Ponce, Maria Del Carmen; Van Dooren, Paul (SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2022)

Strongly minimal self-conjugate linearizations for polynomial and rational matrices - Martinez Dopico, Froilan Cesar; Quintana Ponce, Maria Del Carmen; Van Dooren, Paul (SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2022)