- E. Fuentes, Luis E. Garza, M. L. Saiz, "On Laguerre-Sobolev matrix orthogonal polynomials", Open Mathematics, 22(1), Article 20240029 (2024).
- N. Martínez, Luis E. Garza, G. Romero, "An application of Rouché's theorem to delimit the zeros of a certain class of robustly stable polynomials", Mathematics, 11(20), 4244 (2023).
- E. Fuentes, Luis E. Garza, "On the Hahn's property for matrix orthogonal polynomials on the unit circle", Linear Algebra Appl., 675, 118-141 (2023).
- N. Martínez, A. Arceo, A. Rodríguez-Hernández, Luis E. Garza, G. Romero, "Zero dynamics for a class of robustly stable polynomials", J. Comput. Appl. Math., 423, 114972 (2023).
- E. Fuentes, Luis E. Garza, "Coherent pairs and Sobolev-type orthogonal polynomials on the real line: an extension to the matrix case", J. Math. Anal. Appl., 518, 126674 (2023).
- A. Arceo, H. Flores, L. G. Garza, L. E. Garza, G. Romero, "On robust stability of Hurwitz polynomials via recurrence relations and linear combinations of orthogonal polynomials", Complexity, Article ID 9404316, 13 pages (2022).
- H. Dueñas, E. Fuentes, Luis E. Garza, "On a Christoffel transformation for matrix measures supported on the unit circle", Comput. Methods Funct. Theory, 21, 219--243 (2021).
- E. Fuentes, L. E. Garza, H. Dueñas, "On the Szego transformation for some spectral transformations of matrix measures", J. Math. Anal. Appl. 499, 125036 (2021).
- Edinson Fuentes, Luis E. Garza, "Block Hessenberg matrices and spectral transformations for matrix orthogonal polynomials on the unit circle", Math. Slovaca, 71(2), 341--358 (2021).
- Lino G. Garza, Luis E. Garza, Edmundo Huertas, "An analysis of the recurrence coefficients for symmetric Sobolev-type orthogonal polynomials", Symmetry, 13(4), 534 (2021).
- P. Zamora, A. Arceo, N. Martínez, G. Romero, L. Garza, "Robust stabilization of interval plants with uncertain time-delay using the value set concept", Mathematics, 9(4), 429 (2021).
- H. Dueñas, E. Fuentes, Luis E. Garza, "Matrix Uvarov transformation on the unit circle: asymptotic properties", Bull. Malays. Math. Sci. Soc., 44, 279-315 (2021).
- Luis E. Garza, "On Sobolev-type perturbations of classical orthogonal polynomials", Matemáticas y sus aplicaciones 15, BUAP, México (2020).
- Luis E. Garza, Noé Martínez, Gerardo Romero, "New stability criteria for discrete linear systems based on orthogonal polynomials", Mathematics, 8(8), 1322 (2020).
- Lino G. Garza, Luis E. Garza, Edmundo J. Huertas, "On differential equations associated with perturbations of orthogonal polynomials on the unit circle", Mathematics, 8(2), 246 (2020).
- Edinson Fuentes, Luis E. Garza, "CMV block matrices for symmetric matrix measures on the unit circle", Linear Algebra Appl., 587, 314-333 (2020).
- Edinson Fuentes, Luis E. Garza, "Matrix moment perturbations and the inverse Szego matrix transformation", Rev. Union Mat. Argent., 60(2), 573-593 (2019).
- Alejandro Arceo, Luis E. Garza, Gerardo Romero, "Robust stability of Hurwitz polynomials associated with modified classical weights", Mathematics, 7(9), 818 (2019).
- Luis E. Garza, Edmundo Huertas, Francisco Marcellán, "On Freud-Sobolev type orthogonal polynomials", Afrika Mat., 30(3-4), 505-529 (2019).
- Noé Martínez, Luis E. Garza, Baltazar Aguirre-Hernández, "On sequences of Hurwitz polynomials related to orthogonal polynomials", Linear and Multilinear Algebra, 67(11), 2191-2208 (2019).
- Herbert Dueñas, Luis E. Garza, Paul Villamil Hernández, "Polinomios ortogonales de Freud Sobolev. Un caso no diagonal", Jairo Charris. Iván Castro y Fernando Zalamea Eds. Serie Memorias Grandes Maestros 2, Universidad Nacional de Colombia, Bogotá, Colombia, 2018. 159-192.
- Juan Carlos García-Ardila, Luis E. Garza, Francisco Marcellán, "A canonical Geronimus transformation for matrix orthogonal polynomials", Linear and Multilinear Algebra, 66(2), 357-381 (2018).
- Abdon Choque-Rivero, Luis E. Garza, "Matrix orthogonal polynomials associated with perturbations of Toeplitz matrices", Russian Math., 61, 57-69, (2017).
- Juan Carlos García-Ardila, Luis E. Garza, Francisco Marcellán, "An extension of the Geronimus transformation for orthogonal matrix polynomials on the real line", Mediterr. J. Math., 13, 5009-5032 (2016).
- Luis E. Garza, Francisco Marcellán, "Orthogonal polynomials and perturbations of measures supported on the real line and on the unit circle. A matrix perspective", Expositiones Math., 34, 287-326 (2016).
- Edinson Fuentes, Luis E. Garza, "On a finite moment perturbation of linear functionals and the inverse Szego transformation", Revista Integración, 34 (1), 39-58 (2016).
- Lino G. Garza, Luis E. Garza, F. Marcellán, Natalia C. Pinzón-Cortés, "A matrix characterization for the Dv-Semiclassical and Dv-Coherent orthogonal polynomials", Linear Alg. Appl., 487, 242-259 (2015).
- Edinson Fuentes, Luis E. Garza, "Analysis of perturbations of moments associated with orthogonality linear functionals through the Szego transformation", Revista Integración, 33 (1), 61-82 (2015).
- Lino G. Garza, Luis E. Garza, F. Marcellán, Natalia Pinzón-Cortés, "A matrix characterization for the semiclassical and coherent orthogonal polynomials", App. Math. Comput., 256, 459-471 (2015).
- Herbert Dueñas, Luis E. Garza, Miguel Piñar, "A higher order Sobolev-type inner product for orthogonal polynomials in several variables", Numer. Algor., 68, 35-46 (2015).
- Abdón Choque-Rivero, Luis E. Garza, "Moment pertubation of matrix polynomials", Integral Transforms and Special Functions, 26, 3, 177-191 (2015).
- K. Castillo, L. Garza and F. Marcellán, "On a direct Uvarov-Chihara problem and some extensions", Analytic Number Theory, Approximation Theory, and Special Functions - In honor of Hari M. Srivastrava (K. Alladi, G. V. Milovanovic, M. Th. Rassias, eds). Series: Springer Optimization and its Applications, Vol XI, Springer Verlag, Berlin - Heidelberg - New York, 2014.
- Luis Garza, Francisco Marcellán, and Natalia C. Pinzón-Cortés, "(1,1)-Coherent pairs on the unit circle", Abstract and Applied Analysis, vol. 2013, Article ID 307974, 8 pages, (2013).
- K. Castillo, D.K. Dimitrov, L. E. Garza, F.R. Rafaeli, “Perturbations on the subdiagonal of Hankel matrices”, App. Math. And Comput., 221, 444—552 (2013).
- Herbert Dueñas, Luis Garza, Juan C. García, Guillermo A. Ramírez, “The diagonal general case for Laguerre-Sobolev orthogonal polinomials. Revista Colombiana de Matemáticas, 47, No.1, 39—66 (2013).
- Herbert Dueñas, Luis Garza, “Jacobi-Sobolev-type orthogonal polinomials: Holonomic equation and electrostatical interpretation - a non diagonal case”, Integral Trans. Spec. Functions, Vol. 24, No. 1, 70—83, 2013.
- Kenier Castillo, Luis Garza, Francisco Marcellán, “Asymptotic behavior of Sobolev orthogonal polynomials on the unit circle”, Integral Trans. Spec. Functions, Vol. 24, No. 1, 23—28, 2013.
- Herbert Dueñas, Luis Garza, “Perturbations of Laguerre-Hahn linear functionals by Dirac delta derivatives”, Boletín de Matemáticas, Univ. Nacional de Colombia, Vol. 19, No. 1, 65—90, 2012.
- Kenier Castillo, Luis E. Garza, Francisco Marcellán, "Sobolev orthogonal polynomials on the unit circle: Hessenberg matrices and zeros", Proceedings of the 12th ICCMMSE, Editor: J. Vigo-Aguiar, Vol. 1, 303-307 (2012).
- Kenier Castillo, Luis Garza, Francisco Marcellán, “Zeros of Sobolev orthogonal polynomials on the unit circle”, Numer. Algor, Vol. 60, N0. 4, 669-681, (2012).
- Kenier Castillo, Luis Garza, Francisco Marcellán, “A new linear spectral transformation associated with derivatives of Dirac linear functionals”, J. Approx. Theory, Vol. 163, No. 12, 1834-1853, 2011.
- Kenier Castillo, Luis Garza, Francisco Marcellán, “Perturbations on the subdiagonals of Toeplitz matrices”, Linear Algebra Appl., 434, (2011), 1563-1579.
- Herbert Dueñas, Luis Garza, “Asymptotic behaviour of the Jacobi-Sobolev orthogonal polinomials. A non diagonal case”, Revista de la Academia Colombiana de Ciencias, Vol. XXXIV, 133, (2010), 529-539.
- Kenier Castillo, Luis Garza, Francisco Marcellán, “Linear spectral transformations, Hessenberg matrices and orthogonal polynomials”, Rend. Circ. Mat. Palermo, (II), 82 (2010), 3-26.
- Luis Garza, Francisco Marcellán, “Quadrature rules on the unit circle. A survey”, Recent Trends in Orthogonal Polynomials and Approximation Theory. J.Arvesú, F. Marcellán, and A. Martínez Finkelshtein Editors. Contemporary Mathematics. Vol. 507. Amer. Math. Soc. Providence, RI. 2010. 113-140.
- Luis Garza, Javier Hernández, Francisco Marcellán, "Orthogonal Polynomials on the unit circle. The Geronimus transformation", Journal of Computational and Applied Mathematics, 233 (2010), 1220-1231.
- Kenier Castillo, Luis Garza, Francisco Marcellán, “Laurent polynomial perturbations of linear functionals. An inverse problem.”, Electronic Transactions on Numerical Analysis, Vol. 36 (2010), 83-98.
- Luis Garza, Francisco Marcellán, “Szego transformations and rational spectral transformations for associated polynomials”, Journal of Computational and Applied Mathematics, 233 (2009), 730-738.
- Luis Garza, Francisco Marcellán, “Linear spectral transformations and Laurent polynomials”, Mediterranean Journal of Mathematics, 6 (2009) 273-289.
- Luis Garza, Francisco Marcellán, “Verblunsky parameters and linear spectral transformations”, Methods and Applications of Analysis, 16 (2009), 069-086.
- Luis Garza, Francisco Marcellán, “Szego transformations and Nth order associated polynomials on the unit circle”, Computers and Mathematics with Applications, 57 (2009), 659-671.
- Luis Garza, Francisco Marcellán, “Orthogonal polynomials and rational spectral transformations”, Mathematical Physics and Field Theory, M Asorey, J. V. García Esteve, M. F. Rañada and J. Sesma Editors. Prensas Universitarias de Zaragoza, Spain, 2009. 239-248.
- Luis Garza, Javier Hernández, Francisco Marcellán, "Spectral transformations of measures on the unit circle and the Szego transformation”, Numerical Algorithms, 49 (2008) 169-185.