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Author ID: garza.luis-e Recent zbMATH articles by "Garza, Luis E."
Published as: Garza, Luis E.; Garza, Luis; Garza, L. E.
Documents Indexed: 43 Publications since 2000
Co-Authors: 22 Co-Authors with 43 Joint Publications
305 Co-Co-Authors

Publications by Year

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

Citations by Year