Edit Profile (opens in new tab) Garza, Luis E. Co-Author Distance Author ID: garza.luis-e Published as: Garza, Luis E.; Garza, Luis; Garza, L. E. more...less Documents Indexed: 43 Publications since 2000 Co-Authors: 22 Co-Authors with 43 Joint Publications 305 Co-Co-Authors all top 5 Co-Authors 0 single-authored 21 Marcellán Español, Francisco 10 Fuentes, Edinson 8 Castillo, Kenier 8 Dueñas, Herbert 3 Acevedo, Salvador 3 Cantú, Francisco J. 3 Pinzón-Cortés, Natalia Camila 2 García-Ardila, Juan Carlos 2 Garza, Lino G. 2 Hernández, Javier 2 Martínez, Noé 1 Aguirre-Hernández, Baltazar 1 Arceo, Alejandro 1 Choque Rivero, Abdon Eddy 1 Dimitrov, Dimitar K. 1 García, Juan C. 1 Huertas Cejudo, Edmundo José 1 Piñar, Miguel A. 1 Rafaeli, Fernando Rodrigo 1 Ramírez, Alejandro 1 Rodríguez-Hernández, Andrea 1 Romero, Gerardo all top 5 Serials 4 Linear Algebra and its Applications 3 Journal of Computational and Applied Mathematics 3 Numerical Algorithms 3 Integral Transforms and Special Functions 2 Journal of Mathematical Analysis and Applications 2 Linear and Multilinear Algebra 2 Applied Mathematics and Computation 2 Mediterranean Journal of Mathematics 2 Revista Integración 1 Computers & Mathematics with Applications 1 Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales 1 Journal of Approximation Theory 1 Mathematica Slovaca 1 Revista Colombiana de Matemáticas 1 Revista de la Unión Matemática Argentina 1 Expositiones Mathematicae 1 ETNA. Electronic Transactions on Numerical Analysis 1 Methods and Applications of Analysis 1 Abstract and Applied Analysis 1 Boletín de Matemáticas. Nueva Serie 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Computational Methods and Function Theory 1 Afrika Matematika all top 5 Fields 37 Harmonic analysis on Euclidean spaces (42-XX) 25 Special functions (33-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 3 Computer science (68-XX) 2 Measure and integration (28-XX) 1 Nonassociative rings and algebras (17-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 77 times in 46 Documents Cited by ▼ Year ▼ Perturbations on the subdiagonals of Toeplitz matrices. Zbl 1208.42010 Castillo, K.; Garza, L.; Marcellán, F. 14 2011 Orthogonal polynomials and measures on the unit circle. The geronimus transformations. Zbl 1179.42020 Garza, L.; Hernández, J.; Marcellán, F. 14 2010 Verblunsky parameters and linear spectral transformations. Zbl 1176.42021 Garza, L.; Marcellán, F. 11 2009 Spectral transformations of measures supported on the unit circle and the Szegő transformation. Zbl 1169.42009 Garza, Luis; Hernández, Javier; Marcellán, Francisco 7 2008 A matrix approach for the semiclassical and coherent orthogonal polynomials. Zbl 1338.42033 Garza, Lino G.; Garza, Luis E.; Marcellán, Francisco; Pinzón-Cortés, Natalia C. 7 2015 Linear spectral transformations, Hessenberg matrices, and orthogonal polynomials. Zbl 1470.42050 Castillo, Kenier; Garza, Luis; Marcellán, Francisco 7 2010 A canonical Geronimus transformation for matrix orthogonal polynomials. Zbl 1391.42031 García-Ardila, Juan Carlos; Garza, Luis E.; Marcellán, Francisco 5 2018 Szegő transformations and rational spectral transformations for associated polynomials. Zbl 1174.42029 Garza, L.; Marcellán, F. 5 2009 Moment perturbation of matrix polynomials. Zbl 1316.42030 Choque-Rivero, Abdon E.; Garza, Luis E. 5 2015 Zeros of Sobolev orthogonal polynomials on the unit circle. Zbl 1254.33012 Castillo, K.; Garza, L. E.; Marcellán, F. 5 2012 A new linear spectral transformation associated with derivatives of Dirac linear functionals. Zbl 1241.42021 Castillo, Kenier; Garza, Luis E.; Marcellán, Francisco 4 2011 Linear spectral transformation and Laurent polynomials. Zbl 1189.42011 Garza, Luis; Marcellán, Francisco 4 2009 An extension of the Geronimus transformation for orthogonal matrix polynomials on the real line. Zbl 1352.42036 García-Ardila, Juan Carlos; Garza, Luis E.; Marcellán, Francisco 4 2016 Asymptotic behaviour of Sobolev orthogonal polynomials on the unit circle. Zbl 1273.42025 Castillo, Kenier; Garza, Luis E.; Marcellán, Francisco 4 2013 Laurent polynomial perturbations of linear functionals. An inverse problem. Zbl 1191.42012 Castillo, Kenier; Garza, Luis; Marcellán, Francisco 3 2009 Perturbations on the antidiagonals of Hankel matrices. Zbl 1329.15057 Castillo, K.; Dimitrov, D. K.; Garza, L. E.; Rafaeli, F. R. 3 2013 \((1,1)\)-coherent pairs on the unit circle. Zbl 1298.42030 Garza, Luis; Marcellán, Francisco; Pinzón-Cortés, Natalia C. 2 2013 A matrix characterization for the \(D_\nu\)-semiclassical and \(D_\nu\)-coherent orthogonal polynomials. Zbl 1342.42025 Garza, Lino G.; Garza, Luis E.; Marcellán, Francisco; Pinzón-Cortés, Natalia C. 2 2015 Matrix moment perturbations and the inverse Szegő matrix transformation. Zbl 1428.42047 Fuentes, Edinson; Garza, Luis E. 2 2019 Perturbations of Laguerre-Hahn class linear functionals by Dirac delta derivatives. Zbl 07763040 Dueñas, Herbert; Garza, Luis E. 2 2012 Jacobi-Sobolev-type orthogonal polynomials: holonomic equation and electrostatic interpretation – a non-diagonal case. Zbl 1264.42005 Dueñas, Herbert; Garza, Luis E. 2 2013 On Freud-Sobolev type orthogonal polynomials. Zbl 1438.33015 Garza, Luis E.; Huertas, Edmundo J.; Marcellán, Francisco 2 2019 Szegő transformations and \(n\)th order associated polynomials on the unit circle. Zbl 1186.42015 Garza, L.; Marcellán, F. 1 2009 On a direct Uvarov-Chihara problem and some extensions. Zbl 1435.42018 Castillo, K.; Garza, L.; Marcellán, F. 1 2014 Analysis of perturbations of moments associated with orthogonality linear functionals through the Szegő transformation. Zbl 1329.42022 Fuentes, Edinson; Garza, Luis E. 1 2015 A higher order Sobolev-type inner product for orthogonal polynomials in several variables. Zbl 1432.42021 Dueñas, Herbert; Garza, Luis E.; Piñar, Miguel 1 2015 Orthogonal polynomials and perturbations on measures supported on the real line and on the unit circle. A matrix perspective. Zbl 1342.42026 Garza, Luis E.; Marcellán, Francisco 1 2016 Matrix Uvarov transformation on the unit circle: asymptotic properties. Zbl 1470.33008 Dueñas, Herbert; Fuentes, Edinson; Garza, Luis E. 1 2021 Block Hessenberg matrices and spectral transformations for matrix orthogonal polynomials on the unit circle. Zbl 1487.33009 Fuentes, Edinson; Garza, Luis E. 1 2021 CMV block matrices for symmetric matrix measures on the unit circle. Zbl 1437.33014 Fuentes, Edinson; Garza, Luis E. 1 2020 On a Christoffel transformation for matrix measures supported on the unit circle. Zbl 1471.42057 Dueñas, H.; Fuentes, E.; Garza, L. E. 1 2021 Matrix Uvarov transformation on the unit circle: asymptotic properties. Zbl 1470.33008 Dueñas, Herbert; Fuentes, Edinson; Garza, Luis E. 1 2021 Block Hessenberg matrices and spectral transformations for matrix orthogonal polynomials on the unit circle. Zbl 1487.33009 Fuentes, Edinson; Garza, Luis E. 1 2021 On a Christoffel transformation for matrix measures supported on the unit circle. Zbl 1471.42057 Dueñas, H.; Fuentes, E.; Garza, L. E. 1 2021 CMV block matrices for symmetric matrix measures on the unit circle. Zbl 1437.33014 Fuentes, Edinson; Garza, Luis E. 1 2020 Matrix moment perturbations and the inverse Szegő matrix transformation. Zbl 1428.42047 Fuentes, Edinson; Garza, Luis E. 2 2019 On Freud-Sobolev type orthogonal polynomials. Zbl 1438.33015 Garza, Luis E.; Huertas, Edmundo J.; Marcellán, Francisco 2 2019 A canonical Geronimus transformation for matrix orthogonal polynomials. Zbl 1391.42031 García-Ardila, Juan Carlos; Garza, Luis E.; Marcellán, Francisco 5 2018 An extension of the Geronimus transformation for orthogonal matrix polynomials on the real line. Zbl 1352.42036 García-Ardila, Juan Carlos; Garza, Luis E.; Marcellán, Francisco 4 2016 Orthogonal polynomials and perturbations on measures supported on the real line and on the unit circle. A matrix perspective. Zbl 1342.42026 Garza, Luis E.; Marcellán, Francisco 1 2016 A matrix approach for the semiclassical and coherent orthogonal polynomials. Zbl 1338.42033 Garza, Lino G.; Garza, Luis E.; Marcellán, Francisco; Pinzón-Cortés, Natalia C. 7 2015 Moment perturbation of matrix polynomials. Zbl 1316.42030 Choque-Rivero, Abdon E.; Garza, Luis E. 5 2015 A matrix characterization for the \(D_\nu\)-semiclassical and \(D_\nu\)-coherent orthogonal polynomials. Zbl 1342.42025 Garza, Lino G.; Garza, Luis E.; Marcellán, Francisco; Pinzón-Cortés, Natalia C. 2 2015 Analysis of perturbations of moments associated with orthogonality linear functionals through the Szegő transformation. Zbl 1329.42022 Fuentes, Edinson; Garza, Luis E. 1 2015 A higher order Sobolev-type inner product for orthogonal polynomials in several variables. Zbl 1432.42021 Dueñas, Herbert; Garza, Luis E.; Piñar, Miguel 1 2015 On a direct Uvarov-Chihara problem and some extensions. Zbl 1435.42018 Castillo, K.; Garza, L.; Marcellán, F. 1 2014 Asymptotic behaviour of Sobolev orthogonal polynomials on the unit circle. Zbl 1273.42025 Castillo, Kenier; Garza, Luis E.; Marcellán, Francisco 4 2013 Perturbations on the antidiagonals of Hankel matrices. Zbl 1329.15057 Castillo, K.; Dimitrov, D. K.; Garza, L. E.; Rafaeli, F. R. 3 2013 \((1,1)\)-coherent pairs on the unit circle. Zbl 1298.42030 Garza, Luis; Marcellán, Francisco; Pinzón-Cortés, Natalia C. 2 2013 Jacobi-Sobolev-type orthogonal polynomials: holonomic equation and electrostatic interpretation – a non-diagonal case. Zbl 1264.42005 Dueñas, Herbert; Garza, Luis E. 2 2013 Zeros of Sobolev orthogonal polynomials on the unit circle. Zbl 1254.33012 Castillo, K.; Garza, L. E.; Marcellán, F. 5 2012 Perturbations of Laguerre-Hahn class linear functionals by Dirac delta derivatives. Zbl 07763040 Dueñas, Herbert; Garza, Luis E. 2 2012 Perturbations on the subdiagonals of Toeplitz matrices. Zbl 1208.42010 Castillo, K.; Garza, L.; Marcellán, F. 14 2011 A new linear spectral transformation associated with derivatives of Dirac linear functionals. Zbl 1241.42021 Castillo, Kenier; Garza, Luis E.; Marcellán, Francisco 4 2011 Orthogonal polynomials and measures on the unit circle. The geronimus transformations. Zbl 1179.42020 Garza, L.; Hernández, J.; Marcellán, F. 14 2010 Linear spectral transformations, Hessenberg matrices, and orthogonal polynomials. Zbl 1470.42050 Castillo, Kenier; Garza, Luis; Marcellán, Francisco 7 2010 Verblunsky parameters and linear spectral transformations. Zbl 1176.42021 Garza, L.; Marcellán, F. 11 2009 Szegő transformations and rational spectral transformations for associated polynomials. Zbl 1174.42029 Garza, L.; Marcellán, F. 5 2009 Linear spectral transformation and Laurent polynomials. Zbl 1189.42011 Garza, Luis; Marcellán, Francisco 4 2009 Laurent polynomial perturbations of linear functionals. An inverse problem. Zbl 1191.42012 Castillo, Kenier; Garza, Luis; Marcellán, Francisco 3 2009 Szegő transformations and \(n\)th order associated polynomials on the unit circle. Zbl 1186.42015 Garza, L.; Marcellán, F. 1 2009 Spectral transformations of measures supported on the unit circle and the Szegő transformation. Zbl 1169.42009 Garza, Luis; Hernández, Javier; Marcellán, Francisco 7 2008 all cited Publications top 5 cited Publications all top 5 Cited by 50 Authors 19 Marcellán Español, Francisco 14 Garza, Luis E. 7 Castillo, Kenier 6 Fuentes, Edinson 6 Sri Ranga, Alagacone 4 García-Ardila, Juan Carlos 3 Choque Rivero, Abdon Eddy 3 Dueñas, Herbert 3 Garza, Lino G. 2 Cantero, María José 2 Dominici, Diego Ernesto 2 Jabee, Saima 2 Kheriji, Lotfi 2 Moral, Leandro 2 Piñar, Miguel A. 2 Pinzón-Cortés, Natalia Camila 2 Shadab, Mohd 2 Velázquez, Luis 1 Appadu, Appanah Rao 1 Arjika, Sama 1 Behera, Kiran Kumar 1 Bracciali, Cleonice Fátima 1 Branquinho, Amílcar José Pinto Lopes 1 Choi, Junesang 1 Costabile, Francesco Aldo 1 da Silva, Jéssica V. 1 Delgado, Antonia M. 1 Dueñas Ruiz, Herbert 1 Fernández, Lidia 1 Filipuk, Galina V. 1 Garza Gaona, L. E. 1 Gualtieri, Maria Italia 1 Humet, Matthias 1 Jbeli, S. 1 Kelil, Abey Sherif 1 Lubinsky, Doron S. 1 Mañas-Mañas, Juan F. 1 Mañas, Manuel 1 Marcato, Gustavo A. 1 Moreno-Balcázar, Juan José 1 Napoli, Anna 1 Omrani, Khaled 1 Pérez, Teresa E. 1 Putinar, Mihai 1 Salazar Morales, Omar 1 Shayanfar, Nikta 1 Suni, Mijael Hancco 1 Swaminathan, Anbhu 1 Van Barel, Marc 1 Verde-Star, Luis all top 5 Cited in 30 Serials 4 Journal of Mathematical Analysis and Applications 4 Linear Algebra and its Applications 4 Mediterranean Journal of Mathematics 3 Journal of Approximation Theory 2 Integral Transforms and Special Functions 1 Linear and Multilinear Algebra 1 Periodica Mathematica Hungarica 1 Mathematics of Computation 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Mathematica Slovaca 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Applied Mathematics Letters 1 Numerical Algorithms 1 Expositiones Mathematicae 1 Russian Mathematics 1 Journal of Difference Equations and Applications 1 Abstract and Applied Analysis 1 Communications of the Korean Mathematical Society 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Computational Methods and Function Theory 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Complex Analysis and Operator Theory 1 Operators and Matrices 1 Applicable Analysis and Discrete Mathematics 1 Random Matrices: Theory and Applications 1 Journal of Classical Analysis all top 5 Cited in 14 Fields 38 Harmonic analysis on Euclidean spaces (42-XX) 37 Special functions (33-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 4 Numerical analysis (65-XX) 2 Number theory (11-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Operator theory (47-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) Citations by Year