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       		   			Artículos 
       		   			 
Delgado, Jorge; Orera, Héctor; Peña, Juan Manuel. Accurate Computations with Generalized Pascal k-Eliminated Functional Matrices. MATHEMATICS. 2025. DOI: 10.3390/math13020303	
						   	
 
Delgado, Jorge; Peña, J. M. High-relative-accuracy computations with Kac-Murdock-Szegö matrices and their generalizations. COMPUTATIONAL & APPLIED MATHEMATICS. 2025. DOI: 10.1007/s40314-025-03137-7	
						   	
 
Delgado, Jorge; Orera, Héctor; Peña, Juan Manuel. High Relative Accuracy With Collocation Matrices of q$$ q $$-Jacobi Polynomials. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. 2025. DOI: 10.1002/nla.2602	
						   	
 
Ballarín, Jorge; Delgado, Jorge; Peña, Juan Manuel. High Relative Accuracy for Corner Cutting Algorithms. AXIOMS. 2025. DOI: 10.3390/axioms14040248	
						   	
 
Delgado, Jorge; Peña, Guillermo; Peña, Juan Manuel. Accurate Computations with Generalized Green Matrices. SYMMETRY. 2024. DOI: 10.3390/sym16081004	
						   	
 
Delgado, Jorge; Orera, Héctor; Peña, J.M. High relative accuracy for rational q-Bernstein–Vandermonde matrices. LINEAR AND MULTILINEAR ALGEBRA. 2024. DOI: 10.1080/03081087.2024.2304686	
						   	
 
Delgado, Jorge; Koev, Plamen; Marco, Ana; Martínez, José-Javier; Peña, Juan Manuel; Persson, Per-Olof; Spasov, Steven. Accurate bidiagonal decompositions of Cauchy–Vandermonde matrices of any rank. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. 2024. DOI: 10.1002/nla.2579	
						   	
 
Delgado, Jorge; Orera, Héctor; Peña, J. M. Accurate computations with block checkerboard pattern matrices. MATHEMATICS. 2024. DOI: 10.3390/math12060853	
						   	
 
Delgado, Jorge; Peña, Guillermo; Peña, Juan Manuel. Accurate and fast computations with Green matrices. APPLIED MATHEMATICS LETTERS. 2023. DOI: 10.1016/j.aml.2023.108778	
						   	
 
Delgado, J.; Orera, H.; Peña, J.M. An evaluation algorithm for q-Bézier triangular patches formed by convex combinations. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 2023. DOI: 10.1016/j.cam.2023.115184	
						   	
 
Delgado, Jorge; Peña, Juan Manuel. High relative accuracy with some special matrices related to G and ß functions. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. 2023. DOI: 10.1002/nla.2494	
						   	
 
Delgado, Jorge; Koev, Plamen; Marco, Ana; Martínez, José-Javier; Peña, Juan Manuel; Persson, Per-Olof; Spasov, Steven. Bidiagonal decompositions of Vandermonde-type matrices of arbitrary rank. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 2023. DOI: 10.1016/j.cam.2023.115064	
						   	
 
Delgado, J.; Mainar, E.; Peña, J.M. On the accuracy of de Casteljau-type algorithms and Bernstein representations. COMPUTER AIDED GEOMETRIC DESIGN. 2023. DOI: 10.1016/j.cagd.2023.102243	
						   	
 
Delgado, Jorge; Peña, Guillermo; Peña, Juan Manuel. Green Matrices, Minors and Hadamard Products. AXIOMS. 2023. DOI: 10.3390/axioms12080774	
						   	
 
Delgado, J.; Orera, H.; Peña, J.M. Characterizations and accurate computations for tridiagonal Toeplitz matrices. LINEAR AND MULTILINEAR ALGEBRA. 2022. DOI: 10.1080/03081087.2021.1884180	
						   	
 
Delgado, J.; Orera, H.; Peña, J.M. Accurate bidiagonal decomposition and computations with generalized Pascal matrices. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 2021. DOI: 10.1016/j.cam.2021.113443	
						   	
 
Delgado J.; Orera H.; Peña J.M. High relative accuracy with matrices of q-integers. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. 2021. DOI: 10.1002/nla.2383	
						   	
 
Delgado, Jorge; Peña, Juan Manuel. Evaluation of curves and surfaces by methods based on differential equations and CAGD. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING. 2021	
						   	
 
Delgado Gracia, J; Orera, H; Peña Ferrández, Jm. Optimal properties of tensor product of B-bases. APPLIED MATHEMATICS LETTERS. 2021. DOI: 10.1016/j.aml.2021.107473	
						   	
 
Delgado Gracia, J. Compensated evaluation of tensor product surfaces in CAGD. MATHEMATICS. 2020. DOI: 10.3390/math8122219	
						   	
 
Delgado, Jorge; Peña, J.M. Geometric properties and algorithms for rational q-Bézier curves and surfaces. MATHEMATICS. 2020. DOI: 10.3390/math8040541	
						   	
 
Delgado, J.; Peña, J.M. Extremal and optimal properties of B-bases collocation matrices. NUMERISCHE MATHEMATIK. 2020. DOI: 10.1007/s00211-020-01135-x	
						   	
 
Delgado, Jorge; Orera, Héctor; Peña, J.M. Accurate Algorithms for Bessel Matrices. JOURNAL OF SCIENTIFIC COMPUTING. 2019. DOI: 10.1007/s10915-019-00975-6	
						   	
 
García-Magariño, I.; Medrano, C.; Delgado, J. Estimation of missing prices in real-estate market agent-based simulations with machine learning and dimensionality reduction methods. NEURAL COMPUTING AND APPLICATIONS. 2019. DOI: 10.1007/s00521-018-3938-7	
						   	
 
Delgado, J.; Orera, H.; Peña, J.M. Accurate computations with Laguerre matrices. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. 2018. DOI: 10.1002/nla.2217	
						   	
 
Delgado, J.; Peña, J. M. Accurate computations with Lupas matrices. APPLIED MATHEMATICS AND COMPUTATION. 2017. DOI: 10.1016/j.amc.2017.01.031	
						   	
 
Delgado, J.; Peña, G.; Peña, J.M. Accurate and fast computations with positive extended Schoenmakers–Coffey matrices. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. 2016. DOI: 10.1002/nla.2066	
						   	
 
Delgado, J.; Peña, J. M. Algorithm 960: Polynomial: An object-oriented matlab library of fast and efficient algorithms for polynomials. ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. 2016. DOI: 10.1145/2814567	
						   	
 
Delgado Gracia, Jorge; Peña Ferrández, Juan Manuel. Monotonicity preserving representations of curves and surfaces. APPLIED MATHEMATICS AND NONLINEAR SCIENCES. 2016. DOI: 10.21042/AMNS.2016.2.00041	
						   	
 
Delgado, J.; Peña, J. M. Accurate computations with collocation matrices of q-bernstein polynomials. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. 2015. DOI: 10.1137/140993211	
						   	
 
Delgado, J.; Peña, J.M. Accurate evaluation of Bézier curves and surfaces and the Bernstein-Fourier algorithm. APPLIED MATHEMATICS AND COMPUTATION. 2015. DOI: 10.1016/j.amc.2015.08.086	
						   	
 
Delgado, J.; Peña, J. M. Fast and accurate algorithms for Jacobi-Stirling matrices. APPLIED MATHEMATICS AND COMPUTATION. 2014. DOI: 10.1016/j.amc.2014.03.047	
						   	
 
Alonso, Pedro; Delgado, Jorge; Gallego, Rafael; Peña, J.M. Conditioning and accurate computations with Pascal matrices. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 2013. DOI: 10.1016/j.cam.2011.12.007	
						   	
 
Delgado,J.;Pena,J. M. Accurate computations with collocation matrices of rational bases. APPLIED MATHEMATICS AND COMPUTATION. 2013. DOI: 10.1016/j.amc.2012.10.019	
						   	
 
Delgado,J.;Peña,J. M. On the evaluation of rational triangular Bézier surfaces and the optimal stability of the basis. ADVANCES IN COMPUTATIONAL MATHEMATICS. 2013. DOI: 10.1007/s10444-011-9256-6	
						   	
 
Carnicer, J. M.;Delgado, J.;Peña, J. M. Richardson's iterative method for surface interpolation. BIT NUMERICAL MATHEMATICS. 2013. DOI: 10.1007/s10543-012-0411-3	
						   	
 
Delgado,J.;Peña,J. M. Optimality of Bernstein representations for computational purposes. RELIABLE COMPUTING. 2012	
						   	
 
Alonso, P.;Delgado, J.;Gallego, R.;Peña, J. M. A note on matrices with maximal growth factor for Neville elimination. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 2012. DOI: 10.1016/j.cam.2011.07.007	
						   	
 
Carnicer, J.M.; Delgado, J.; Peña, J.M. Progressive iteration approximation and the geometric algorithm. COMPUTER AIDED DESIGN. 2012. DOI: 10.1016/j.cad.2011.01.018	
						   	
 
Delgado, J.;Peña, J. M. Running error for the evaluation of rational Bézier surfaces through a robust algorithm. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 2011. DOI: 10.1016/j.cam.2010.04.031	
						   	
 
Carnicer,J. M.;Delgado,J.;Peña,J. M. On the progressive iteration approximation property and alternative iterations. COMPUTER AIDED GEOMETRIC DESIGN. 2011. DOI: 10.1016/j.cagd.2011.09.005	
						   	
 
Alonso, P.;Delgado, J.;Gallego, R. ;Peña, J. M. Growth factors of pivoting strategies associated with Neville elimination. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 2011. DOI: 10.1016/j.cam.2009.11.012	
						   	
 
Alonso, P.;Delgado, J.;Gallego, R. ;Peña, J. M. A collection of examples where Neville elimination outperforms Gaussian elimination. APPLIED MATHEMATICS AND COMPUTATION. 2010	
						   	
 
Alonso, P.;Delgado, J.;Gallego, R. ;Peña, J. M. Neville elimination: An efficient algorithm with application to chemistry. JOURNAL OF MATHEMATICAL CHEMISTRY. 2010	
						   	
 
Carnicer, J. M.;Delgado, J. ;Peña, J. M. Richardson method and totally nonnegative linear systems. LINEAR ALGEBRA AND ITS APPLICATIONS. 2010	
						   	
 
Delgado, J.;Peña, J. M. Running error for the evaluation of rational Bézier surfaces. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 2010	
						   	
 
Delgado, Jorge; Peña, Juan Manuel. A comparison of different progressive iteration approximation methods. LECTURE NOTES IN COMPUTER SCIENCE. 2010. DOI: 10.1007/978-3-642-11620-9_10	
						   	
 
Carnicer, Jesús; Delgado, Jorge. Mean distance from a curve to its control polygon. LECTURE NOTES IN COMPUTER SCIENCE. 2010. DOI: 10.1007/978-3-642-11620-9_7	
						   	
 
Delgado, J.;Peña,J. M. Optimal Conditioning of Bernstein Collocation Matrices. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. 2009	
						   	
 
Delgado, J.;Peña,J. M. Running Relative Error for the Evaluation of Polynomials. SIAM JOURNAL ON SCIENTIFIC COMPUTING. 2009	
						   	
 
Delgado, J.;Peña,J. M. Computation of the Eigenvalues of Convexity Preserving Matrices. APPLIED MATHEMATICS LETTERS. 2009. DOI: 10.1016/j.aml.2008.03.031	
						   	
 
Alonso, P.;Delgado,J.;Gallego,R.;Peña,J. M. Iterative Refinement for Neville Elimination. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. 2009. DOI: 10.1080/00207160802044134	
						   	
 
Delgado, J.;Peña,J. M. Error Analysis of Efficient Evaluation Algorithms for Tensor Product Surfaces. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 2008. DOI: 10.1016/j.cam.2007.07.020	
						   	
 
Delgado, J.;Peña,J. M. A Corner Cutting Algorithm for Evaluating Rational Bezier Surfaces and the Optimal Stability of the Basis. SIAM JOURNAL ON SCIENTIFIC COMPUTING. 2007. DOI: 10.1137/060649148	
						   	
 
Delgado, J.;Peña,J. M. Are Rational Bezier Surfaces Monotonicity Preserving?. COMPUTER AIDED GEOMETRIC DESIGN. 2007. DOI: 10.1016/j.cagd.2007.03.006	
						   	
 
Delgado, J.;Peña,J. M. Progressive Iterative Approximation and Bases with the Fastest Convergence Rates. COMPUTER AIDED GEOMETRIC DESIGN. 2007. DOI: 10.1016/j.cagd.2006.10.001	
						   	
 
Delgado,J.;Pena,J. On the generalized Ball bases. ADVANCES IN COMPUTATIONAL MATHEMATICS. 2006	
						   	
 
Delgado, J.;Peña, J.M. Corner cutting systems. COMPUTER AIDED GEOMETRIC DESIGN. 2005	
						   	
 
Barrio, Roberto;Delgado, Jorge. Trayectorias de los ceros de los polinomios ortogonales de Sobolev-Gegenbauer. REVISTA DE LA ACADEMIA DE CIENCIAS EXACTAS, FÍSICO-QUÍMICAS Y NATURALES DE ZARAGOZA. 2004	
						   	
 
Delgado, J.;Peña, J. M. A Shape Preserving Representation With an Evaluation Algorithm of Linear Complexity. COMPUTER AIDED GEOMETRIC DESIGN. 2003	
						   	
 
 Libros 
       		   			 
[Coordinación y textos, equipo directivo de la EUPT]. Fragmentos de historia: Escuela Universitaria Politécnica de Teruel : XXV años de enseñanza de ingeniería. 2015	
						   	
 
 Capítulos 
       		   			 
Jorge Delgado, Héctor Orera and Juan Manuel Peña. Corner cutting algorithms for Q-Bézier curves and surfaces. SIXTEENTH INTERNATIONAL CONFERENCE ZARAGOZA-PAU ON MATHEMATICS AND ITS APPLICATIONS: JACA (SPAIN), SEPTEMBER 7-9, 2022. 2024	
						   	
 
Blended learning in electronics and automation engineering: a study of software and hardware needs for practical teaching. Aragüés, R; Gil, E; Igual, R; Medrano, C; Delgado, J; Albiol, S; Romero, F; García, JC; Perez R;. EDULEARN17 PROCEEDINGS. 2017	
						   	
 
Using big data for improving students' skills in the development of scalable decision support systems. García-Magariño García, Iván; Plaza, Inmaculada; Delgado Gracia, Jorge; Lacuesta, Raquel; Igual, Raúl; Bielsa-Hernández, Javier; Álvarez-Arguedas, Diego. EDULEARN17 PROCEEDINGS. 2017	
						   	
 
Axially Monotonicity Preserving Curves and Surfaces. Delgado Gracia, Jorge; Peña Ferrández, J. M. PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL, COMPUTATIONAL AND STATISTICAL SCIENCES (MCSS'15),  MATHEMATICS AND COMPUTERS IN SCIENCE AND ENGINEERING SERIES. 2015	
						   	
 
Growth Factors of Pivoting Strategies Associated to Neville Elimination. Alonso, Pedro; Delgado, Jorge; Gallego, Rafa; Peña, Juan Manuel. PROCEEDINGS OF THE 2009 INTERNATIONAL CONFERENCE ON COMPUTATIONAL AND MATHEMATICAL METHODS IN SCIENCE AND ENGINEERING (CMMSE 2009). 2009	
						   	
 
Interpolation of a Data Point Set Using the Progressive Iteration Approximation Property. Delgado, Jorge; Peña, Juan Manuel. COMPUTER-AIDED DESIGN AND OTHER COMPUTING RESEARCH DEVELOPMENTS. 2009	
						   	
 
On Efficient Algorithms for the Evaluation of Rational Tensor Product Surfaces. Delgado, Jorge; Peña, Juan Manuel. MATHEMATICAL METHODS FOR CURVES AND SURFACES: TROMSO 2004. 2005	
						   	
 
On efficient algorithms for polynomial evaluation in CAGD. Delgado, Jorge; Peña, Juan Manuel. VIII JOURNÉES ZARAGOZA–PAU DE MATHÉMATIQUES APPLIQU ÉEES ET DE STATISTIQUES. 2004	
						   	
 
 A linear complexity algorithm for the Bernstein basis. Delgado, Jorge; Peña, Juan Manuel. GEOMETRIC MODELING AND GRAPHICS, 2003. PROCEEDINGS. 2003 INTERNATIONAL CONFERENCE ON. 2003	
						   	
 
A shape preserving representation for rational curves with efficient evaluation algorithm. Delgado, Jorge; Peña, Juan Manuel. ADVANCES IN GEOMETRIC MODELING. 2003	
						   	
 
Monotonicity preservation of some polynomial and rational representations. Delgado, Jorge; Peña, Juan Manuel. INFORMATION VISUALISATION, 2002. PROCEEDINGS. SIXTH INTERNATIONAL CONFERENCE ON. 2002	
						   	
 
 
       		   			Proyectos 
       		   			 
PID2022-138569NB-I00: Métodos Numéricos en la Aproximación de Curvas y Superficies, Cálculos Precisos con Matrices Estructuradas y Aplicaciones. 01/09/23 - 31/08/26	
						   	
 
E41_23R: Análisis Numérico, Optimización y Aplicaciones. 01/01/23 - 31/12/25	
						   	
 
E41_20R: Análisis Numérico, Optimización Y Aplicaciones. 01/01/20 - 31/12/22	
						   	
 
PGC2018-096321-B-I00: ANÁLISIS DE LA REPRESENTACIÓN DE CURVAS Y SUPERFICIES, CÁLCULOS PRECISOS CON MATRICES ESTRUCTURADAS Y APLICACIONES. 01/01/19 - 31/12/22	
						   	
 
GRUPO DE REFERENCIA ANÁLISIS NUMÉRICO, OPTIMIZACIÓN Y APLICACIONES. 01/01/17 - 31/12/19	
						   	
 
GRUPO CONSOLIDADO E65 ANÁLISIS NUMÉRICO Y APLICACIONES. 01/01/16 - 31/12/16	
						   	
 
MTM2015-65433-P: MÉTODOS NUMÉRICOS EN LA APROXIMACIÓN DE CURVAS Y SUPERFICIES, MATRICES POSITIVAS Y APLICACIONES. 01/01/16 - 30/09/19	
						   	
 
GRUPO CONSOLIDADO E65 ANÁLISIS NUMÉRICO Y APLICACIONES. 01/01/15 - 31/12/15	
						   	
 
GRUPO CONSOLIDADO E65 ANÁLISIS NUMÉRICO Y APLICACIONES. 01/01/14 - 31/12/14	
						   	
 
GRUPO CONSOLIDADO E65 ANÁLISIS NUMÉRICO Y APLICACIONES. 01/01/13 - 31/12/13	
						   	
 
MTM2012-31544. ANÁLISIS DE LA REPRESENTACIÓN DE CURVAS Y SUPERFICIES, MATRICES ESTRUCTURADAS Y APLICACIONES. 01/01/13 - 31/12/15	
						   	
 
CTPR04/10. PROBLEMAS MATEMATICOS EN LA EXPLOTACION DE RECURSOS NATURALES Y ANALISIS DEL IMPACTO ECOLÓGICO. 01/01/11 - 31/12/12	
						   	
 
GRUPO CONSOLIDADO E65 ANALISIS NUMERICO Y APLICACIONES. 01/01/11 - 31/12/12	
						   	
 
MTM2009-07315.    METODOS   NUMERICOS   EN  LA   REPRESENTACION   DE  CURVAS  Y  SUPERFICIES,   MATRICES   ESTRUCTURADAS   Y   APLICACIONES. 01/01/10 - 30/06/13	
						   	
 
GRUPO EXCELENTE E65 ANÁLISIS NUMÉRICO Y APLICACIONES. 01/01/08 - 31/12/10	
						   	
 
MTM2006-03388.      ANÁLISIS   DE   LA   REPRESENTACIÓN   DE   CURVAS   Y  SUPERFICIES, MATRICES   ESTRUCTURADAS   Y   ERROR   NUMÉRICO. 01/10/06 - 30/03/10	
						   	
 
GRUPO EXCELENTE E65 ANALISIS NUMERICO Y APLICACIONES. 01/01/05 - 31/12/07	
						   	
 
APLICACION DE LAS MATEMATICAS AL ESTUDIO DEL SUELO Y SUBSUELO (C.T. PIRINEOS). 01/01/04 - 31/12/05	
						   	
 
BFM2003-03510. ANALISIS DE LA REPRESENTACION DE CURVAS Y SUPERFICIES Y SU  ERROR NUMERICO. 01/12/03 - 30/11/06	
						   	
 
GRUPO CONSOLIDADO E42 APROXIMACION DE CURVAS Y SUPERFICIES. 01/01/03 - 31/12/04	
						   	
 
BFM2000-1253.    METODOS    NUMERICOS   EN   LA   REPRESENTACION   DE   CURVAS   Y  SUPERFICIES. 18/12/00 - 19/12/03	
						   	
 
 
       		   			Dirección de tesis 
       		   			 
NUMERICAL METHODS AND ACCURATE COMPUTATIONS WITH STRUCTURED MATRICES. Universidad de Zaragoza. Sobresaliente cum laude. 21/10/22	
						   	
 
 Dirección de proyectos fin de carrera 
       		   			 
Comparación de técnicas matemáticas para la reducción de ruido en señales. Universidad de Zaragoza. Sobresaliente. 28/09/12	
						   	
 
 Dirección de proyectos fin de grado 
       		   			 
Desarrollo de una herramienta para la creación de Workflows. Workflow Designer. Universidad de Zaragoza. Notable. 11/12/18	
						   	
 
Diseño e implementación de un sistema de medida de gases con Arduino. Universidad de Zaragoza. Notable. 13/07/16	
						   	
 
 Dirección de proyectos fin de master 
       		   			 
Aprendizaje Automático y Análisis Estadístico sobre datos de asistencia del Servicio de Actividades Deportivas de la Universidad de Zaragoza. Universidad de Zaragoza. Notable. 26/09/25	
						   	
 
Estudio de métodos basados en redes neuronales para la aproximación de curvas. Universidad de Zaragoza. Sobresaliente. 14/12/23	
						   	
 
 
       		   			UNIZAR teaching of the last six courses 
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