Perfil (CV) del personal docente investigador

Delgado Gracia, Jorge
Departamento: Departamento de Matemática Aplicada
Área: Matemática Aplicada
Centro: Escuela de Ingeniería y Arquitectura

Instituto: INSTITUTO UNIVERSITARIO DE MATEMÁTICAS Y APLICACIONES (IUMA)

Tramos de investigación
  • Sexenio CNEAI. 01/01/20
  • Sexenio CNEAI. 01/01/14
  • Sexenio CNEAI. 01/01/10
Categoría profesional: Prof. Titular Univ.

Cargos
  • Coordinador de Máster Universitario en Modelización e investigación matemática, estadística y computación
Correo electrónico: jorgedel@unizar.es


 
         

Artículos

  • Ballarín, Jorge; Delgado, Jorge; Liu, Yanxin; Orera, Héctor; Peña, Juan Manuel. An accurate method for the LU decomposition of amazing matrices. LINEAR ALGEBRA AND ITS APPLICATIONS. 2026. DOI: 10.1016/j.laa.2026.03.014

  • Ballarín, Jorge; Delgado, Jorge; Peña, J. M. Bidiagonal Decompositions and Accurate Computations for the Ballot Table and the Fibonacci Matrix. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. 2026. DOI: 10.1002/nla.70060

  • Delgado, Jorge; Orera, Héctor; Peña, Juan Manuel. High Relative Accuracy With Collocation Matrices of q-Jacobi Polynomials. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. 2025. DOI: 10.1002/nla.2602

  • 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

  • Ballarín, Jorge; Delgado, Jorge; Peña, Juan Manuel. High Relative Accuracy for Corner Cutting Algorithms. AXIOMS. 2025. DOI: 10.3390/axioms14040248

  • Delgado, Jorge; Orera, Héctor; Peña, Juan Manuel. Accurate Computations with Generalized Pascal k-Eliminated Functional Matrices. MATHEMATICS. 2025. DOI: 10.3390/math13020303

  • 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; Peña, Guillermo; Peña, Juan Manuel. Accurate Computations with Generalized Green Matrices. SYMMETRY. 2024. DOI: 10.3390/sym16081004

  • Delgado, Jorge; Orera, Héctor; Peña, J. M. Accurate computations with block checkerboard pattern matrices. MATHEMATICS. 2024. DOI: 10.3390/math12060853

  • 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; 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, 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, 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, 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. Accurate and fast computations with Green matrices. APPLIED MATHEMATICS LETTERS. 2023. DOI: 10.1016/j.aml.2023.108778

  • 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. High relative accuracy with matrices of q-integers. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. 2021. DOI: 10.1002/nla.2383

  • 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, 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, 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; Peña, J.M. Geometric properties and algorithms for rational q-Bézier curves and surfaces. MATHEMATICS. 2020. DOI: 10.3390/math8040541

  • 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

  • Aragüés, R; Gil, E; Igual, R; Medrano, C; Delgado, J; Albiol, S; Romero, F; García, JC; Perez R;. Blended learning in electronics and automation engineering: a study of software and hardware needs for practical teaching. EDULEARN17 PROCEEDINGS. 2017

  • García-Magariño García, Iván; Plaza, Inmaculada; Delgado Gracia, Jorge; Lacuesta, Raquel; Igual, Raúl; Bielsa-Hernández, Javier; Álvarez-Arguedas, Diego. Using big data for improving students' skills in the development of scalable decision support systems. EDULEARN17 PROCEEDINGS. 2017

  • Delgado Gracia, Jorge; Peña Ferrández, J. M. Axially Monotonicity Preserving Curves and Surfaces. PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL, COMPUTATIONAL AND STATISTICAL SCIENCES (MCSS'15), MATHEMATICS AND COMPUTERS IN SCIENCE AND ENGINEERING SERIES. 2015

  • Alonso, Pedro; Delgado, Jorge; Gallego, Rafa; Peña, Juan Manuel. Growth Factors of Pivoting Strategies Associated to Neville Elimination. PROCEEDINGS OF THE 2009 INTERNATIONAL CONFERENCE ON COMPUTATIONAL AND MATHEMATICAL METHODS IN SCIENCE AND ENGINEERING (CMMSE 2009). 2009

  • Delgado, Jorge; Peña, Juan Manuel. Interpolation of a Data Point Set Using the Progressive Iteration Approximation Property. COMPUTER-AIDED DESIGN AND OTHER COMPUTING RESEARCH DEVELOPMENTS. 2009

  • Delgado, Jorge; Peña, Juan Manuel. On Efficient Algorithms for the Evaluation of Rational Tensor Product Surfaces. MATHEMATICAL METHODS FOR CURVES AND SURFACES: TROMSO 2004. 2005

  • Delgado, Jorge; Peña, Juan Manuel. On efficient algorithms for polynomial evaluation in CAGD. VIII JOURNÉES ZARAGOZA–PAU DE MATHÉMATIQUES APPLIQU ÉEES ET DE STATISTIQUES. 2004

  • Delgado, Jorge; Peña, Juan Manuel. A linear complexity algorithm for the Bernstein basis. GEOMETRIC MODELING AND GRAPHICS, 2003. PROCEEDINGS. 2003 INTERNATIONAL CONFERENCE ON. 2003

  • Delgado, Jorge; Peña, Juan Manuel. A shape preserving representation for rational curves with efficient evaluation algorithm. ADVANCES IN GEOMETRIC MODELING. 2003

  • Delgado, Jorge; Peña, Juan Manuel. Monotonicity preservation of some polynomial and rational representations. INFORMATION VISUALISATION, 2002. PROCEEDINGS. SIXTH INTERNATIONAL CONFERENCE ON. 2002



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