Edit Profile Defez, Emilio Compute Distance To: Compute Author ID: defez.emilio Published as: Defez, E.; Defez, Emilio Documents Indexed: 60 Publications since 1995 all top 5 Co-Authors 1 single-authored 22 Sastre, Jorge 21 Ibáñez González, Jacinto Javier 19 Jódar Sanchez, Lucas Antonio 10 Tung, Michael M. 9 Hervás, Antonio 8 Ruiz, Pedro A. 6 Law, Alan G. 6 Peinado, Jesús 5 Ponsoda, Enrique 5 Soler, Luna 4 Villanueva, Rafael-Jacinto 3 Alonso, Pedro 3 Soler, Vicente 3 Villanueva-Oller, Javier 2 Alonso-Jordá, Pedro 2 Camacho, Javier 2 Company, Rafael 2 Romero, José Vicente 2 Verdoy, José Antonio 1 Capilla, Roberto 1 Duran, Antonio J. 1 Ferrer, Maria Vicenta 1 Garcia-Honrubia, M. 1 Lucas, Jódar 1 Marcilla, Pedro 1 Mora, José Gerardo 1 Navarro, Enrique A. 1 Roselló, María Dolores 1 Santamaría, Cristina 1 Solís, Francisco Javier all top 5 Serials 9 Mathematical and Computer Modelling 7 Computers & Mathematics with Applications 6 Journal of Computational and Applied Mathematics 5 Approximation Theory and its Applications 4 Applied Mathematics and Computation 4 Applied Mathematics Letters 3 Abstract and Applied Analysis 3 Far East Journal of Applied Mathematics 2 Utilitas Mathematica 2 Linear Algebra and its Applications 1 Linear and Multilinear Algebra 1 Mathematical Methods in the Applied Sciences 1 Quaestiones Mathematicae 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Journal of Mathematical Imaging and Vision 1 SIAM Journal on Scientific Computing 1 Congressus Numerantium 1 Mediterranean Journal of Mathematics all top 5 Fields 38 Numerical analysis (65-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 17 Ordinary differential equations (34-XX) 15 Special functions (33-XX) 8 Approximations and expansions (41-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 5 Partial differential equations (35-XX) 5 Computer science (68-XX) 2 Combinatorics (05-XX) 2 Information and communication theory, circuits (94-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 43 Publications have been cited 297 times in 106 Documents Cited by ▼ Year ▼ Some applications of the Hermite matrix polynomials series expansions. Zbl 0929.33006Defez, Emilio; Jódar, Lucas 33 1998 Chebyshev matrix polynomials and second order matrix differential equations. Zbl 0998.15034Defez, Emilio; Jódar, Lucas 19 2002 On Hermite matrix polynomials and Hermite matrix functions. Zbl 0911.15015Jódar, Lucas; Defez, Emilio 19 1998 Jacobi matrix differential equation, polynomial solutions, and their properties. Zbl 1069.33007Defez, E.; Jódar, L.; Law, A. 16 2004 Three-term recurrences and matrix orthogonal polynomials. Zbl 0962.05064Defez, E.; Jódar, L.; Law, A.; Ponsoda, E. 15 2000 A connection between Laguerre’s and Hermite’s matrix polynomials. Zbl 1074.33011Jódar, L.; Defez, E. 12 1998 Accurate matrix exponential computation to solve coupled differential models in engineering. Zbl 1235.65042Sastre, J.; Ibáñez, J.; Defez, E.; Ruiz, P. 11 2011 Efficient orthogonal matrix polynomial based method for computing matrix exponential. Zbl 1211.65052Sastre, J.; Ibáñez, J.; Defez, E.; Ruiz, P. 11 2011 Orthogonal matrix polynomials with respect to linear matrix moment functionals: Theory and applications. Zbl 0853.42022Jódar, L.; Defez, E.; Ponsoda, E. 11 1996 High performance computing of the matrix exponential. Zbl 1329.65092Ruiz, P.; Sastre, J.; Ibáñez, J.; Defez, E. 9 2016 Matrix cubic splines for progressive 3D imaging. Zbl 1020.68099Defez, E.; Villanueva-Oller, J.; Villanueva, R. J.; Law, A. 9 2002 Efficient and accurate algorithms for computing matrix trigonometric functions. Zbl 1416.65126Alonso, Pedro; Ibáñez, Javier; Sastre, Jorge; Peinado, Jesús; Defez, Emilio 8 2017 New scaling-squaring Taylor algorithms for computing the matrix exponential. Zbl 1315.65046Sastre, J.; Ibáñez, J.; Defez, E.; Ruiz, P. 8 2015 Matrix quadrature integration and orthogonal matrix polynomials. Zbl 0836.33004Jódar, Lucas; Defez, Emilio; Ponsoda, Enrique 8 1995 Efficient computation of the matrix cosine. Zbl 1288.65059Sastre, Jorge; Ibáñez, Javier; Ruiz, Pedro; Defez, Emilio 7 2013 Laguerre matrix polynomial series expansion: theory and computer applications. Zbl 1137.15014Sastre, J.; Defez, E.; Jódar, L. 7 2006 Progressive transmission of images: PC-based computations, using orthogonal matrix polynomials. Zbl 0965.68117Defez, E.; Hervás, A.; Law, A.; Villanueva-Oller, J.; Villanueva, R. J. 7 2000 Computing matrix functions arising in engineering models with orthogonal matrix polynomials. Zbl 1305.65137Defez, Emilio; Sastre, Jorge; Ibáñez, Javier; Ruiz, Pedro 6 2013 Application of Laguerre matrix polynomials to the numerical inversion of Laplace transforms of matrix functions. Zbl 1219.65157Sastre, J.; Defez, E.; Jódar, L. 6 2011 On the asymptotics of Laguerre matrix polynomials for large \(x\) and \(n\). Zbl 1114.41023Sastre, J.; Defez, E. 6 2006 Numerical solution of matrix differential models using cubic matrix splines. Zbl 1085.65058Defez, E.; Soler, L.; Hervás, A.; Santamaría, C. 6 2005 Bounding Hermite matrix polynomials. Zbl 1061.33007Defez, E.; Hervás, A.; Jódar, L.; Law, A. 6 2004 A procedure for computing the exponential of a matrix using Hermite matrix polynomials. Zbl 1006.65073Defez, E.; Garcia-Honrubia, M.; Villanueva, R. J. 6 2002 Accurate and efficient matrix exponential computation. Zbl 1291.65139Sastre, J.; Ibáñez, J.; Ruiz, P.; Defez, E. 5 2014 Numerical solutions of matrix differential models using cubic matrix splines. II. Zbl 1131.65058Defez, E.; Hervás, A.; Soler, L.; Tung, M. M. 5 2007 On exact series solution of strongly coupled mixed parabolic problems. Zbl 1291.35027Soler, Vicente; Defez, Emilio; Ferrer, M. V.; Camacho, J. 4 2013 Computing matrix functions solving coupled differential models. Zbl 1185.65078Defez, Emilio; Sastre, Jorge; Ibáñez, Javier; Ruiz, Pedro A. 4 2009 Orthogonal matrix polynomials and quadrature formulas. Zbl 0990.42009Durán, Antonio J.; Defez, Emilio 4 2002 Some new matrix formulas related to Hermite matrix polynomials theory. Zbl 0929.15022Jódar, Lucas; Defez, Emilio 4 1997 Two algorithms for computing the matrix cosine function. Zbl 1426.65059Sastre, Jorge; Ibáñez, Javier; Alonso, Pedro; Peinado, Jesús; Defez, Emilio 3 2017 Approximating and computing nonlinear matrix differential models. Zbl 1255.65148Defez, Emilio; Tung, Michael M.; Ibáñez, Jacinto-Javier; Sastre, Jorge 3 2012 Numerical solutions of second-order matrix models using cubic-matrix splines. Zbl 1165.65367Tung, M. M.; Defez, E.; Sastre, J. 3 2008 Orthogonal matrix polynomials with respect to a conjugate bilinear matrix moment functional: Basic theory. Zbl 0911.15014Jödar, Lucas; Defez, Emilio 3 1997 Boosting the computation of the matrix exponential. Zbl 1429.65093Sastre, J.; Ibáñez, J.; Defez, E. 2 2019 A new efficient and accurate spline algorithm for the matrix exponential computation. Zbl 1398.65091Defez, Emilio; Ibáñez, Javier; Sastre, Jorge; Peinado, Jesús; Alonso, Pedro 2 2018 Matrix Newton interpolation and progressive 3D imaging: PC-based computation. Zbl 1004.65013Defez, E.; Law, A.; Villanueva-Oller, J.; Villanueva, R. J. 2 2002 Fast Taylor polynomial evaluation for the computation of the matrix cosine. Zbl 1434.65059Sastre, Jorge; Ibáñez, Javier; Alonso-Jordá, Pedro; Peinado, Jesús; Defez, Emilio 1 2019 A new type of Hermite matrix polynomial series. Zbl 1388.33005Defez, Emilio; Tung, Michael M. 1 2018 On exact series solution for strongly coupled mixed parabolic boundary value problems. Zbl 07023029Soler, Vicente; Defez, Emilio; Verdoy, José Antonio 1 2014 Improvement on the bound of Hermite matrix polynomials. Zbl 1219.65045Defez, Emilio; Tung, Michael M.; Sastre, Jorge 1 2011 A stable CE-SE numerical method for time-dependent advection-diffusion equation. Zbl 1308.65141Company, R.; Defez, E.; Jódar, L.; Ponsoda, E. 1 2008 A stable numerical method for solving variable coefficient advection-diffusion models. Zbl 1155.65373Ponsoda, Enrique; Defez, Emilio; Roselló, María Dolores; Romero, José Vicente 1 2008 Analytic-numerical solutions with a priori error bounds for time-dependent mixed partial differential problems. Zbl 0907.65089Jódar, L.; Defez, E. 1 1997 Boosting the computation of the matrix exponential. Zbl 1429.65093Sastre, J.; Ibáñez, J.; Defez, E. 2 2019 Fast Taylor polynomial evaluation for the computation of the matrix cosine. Zbl 1434.65059Sastre, Jorge; Ibáñez, Javier; Alonso-Jordá, Pedro; Peinado, Jesús; Defez, Emilio 1 2019 A new efficient and accurate spline algorithm for the matrix exponential computation. Zbl 1398.65091Defez, Emilio; Ibáñez, Javier; Sastre, Jorge; Peinado, Jesús; Alonso, Pedro 2 2018 A new type of Hermite matrix polynomial series. Zbl 1388.33005Defez, Emilio; Tung, Michael M. 1 2018 Efficient and accurate algorithms for computing matrix trigonometric functions. Zbl 1416.65126Alonso, Pedro; Ibáñez, Javier; Sastre, Jorge; Peinado, Jesús; Defez, Emilio 8 2017 Two algorithms for computing the matrix cosine function. Zbl 1426.65059Sastre, Jorge; Ibáñez, Javier; Alonso, Pedro; Peinado, Jesús; Defez, Emilio 3 2017 High performance computing of the matrix exponential. Zbl 1329.65092Ruiz, P.; Sastre, J.; Ibáñez, J.; Defez, E. 9 2016 New scaling-squaring Taylor algorithms for computing the matrix exponential. Zbl 1315.65046Sastre, J.; Ibáñez, J.; Defez, E.; Ruiz, P. 8 2015 Accurate and efficient matrix exponential computation. Zbl 1291.65139Sastre, J.; Ibáñez, J.; Ruiz, P.; Defez, E. 5 2014 On exact series solution for strongly coupled mixed parabolic boundary value problems. Zbl 07023029Soler, Vicente; Defez, Emilio; Verdoy, José Antonio 1 2014 Efficient computation of the matrix cosine. Zbl 1288.65059Sastre, Jorge; Ibáñez, Javier; Ruiz, Pedro; Defez, Emilio 7 2013 Computing matrix functions arising in engineering models with orthogonal matrix polynomials. Zbl 1305.65137Defez, Emilio; Sastre, Jorge; Ibáñez, Javier; Ruiz, Pedro 6 2013 On exact series solution of strongly coupled mixed parabolic problems. Zbl 1291.35027Soler, Vicente; Defez, Emilio; Ferrer, M. V.; Camacho, J. 4 2013 Approximating and computing nonlinear matrix differential models. Zbl 1255.65148Defez, Emilio; Tung, Michael M.; Ibáñez, Jacinto-Javier; Sastre, Jorge 3 2012 Accurate matrix exponential computation to solve coupled differential models in engineering. Zbl 1235.65042Sastre, J.; Ibáñez, J.; Defez, E.; Ruiz, P. 11 2011 Efficient orthogonal matrix polynomial based method for computing matrix exponential. Zbl 1211.65052Sastre, J.; Ibáñez, J.; Defez, E.; Ruiz, P. 11 2011 Application of Laguerre matrix polynomials to the numerical inversion of Laplace transforms of matrix functions. Zbl 1219.65157Sastre, J.; Defez, E.; Jódar, L. 6 2011 Improvement on the bound of Hermite matrix polynomials. Zbl 1219.65045Defez, Emilio; Tung, Michael M.; Sastre, Jorge 1 2011 Computing matrix functions solving coupled differential models. Zbl 1185.65078Defez, Emilio; Sastre, Jorge; Ibáñez, Javier; Ruiz, Pedro A. 4 2009 Numerical solutions of second-order matrix models using cubic-matrix splines. Zbl 1165.65367Tung, M. M.; Defez, E.; Sastre, J. 3 2008 A stable CE-SE numerical method for time-dependent advection-diffusion equation. Zbl 1308.65141Company, R.; Defez, E.; Jódar, L.; Ponsoda, E. 1 2008 A stable numerical method for solving variable coefficient advection-diffusion models. Zbl 1155.65373Ponsoda, Enrique; Defez, Emilio; Roselló, María Dolores; Romero, José Vicente 1 2008 Numerical solutions of matrix differential models using cubic matrix splines. II. Zbl 1131.65058Defez, E.; Hervás, A.; Soler, L.; Tung, M. M. 5 2007 Laguerre matrix polynomial series expansion: theory and computer applications. Zbl 1137.15014Sastre, J.; Defez, E.; Jódar, L. 7 2006 On the asymptotics of Laguerre matrix polynomials for large \(x\) and \(n\). Zbl 1114.41023Sastre, J.; Defez, E. 6 2006 Numerical solution of matrix differential models using cubic matrix splines. Zbl 1085.65058Defez, E.; Soler, L.; Hervás, A.; Santamaría, C. 6 2005 Jacobi matrix differential equation, polynomial solutions, and their properties. Zbl 1069.33007Defez, E.; Jódar, L.; Law, A. 16 2004 Bounding Hermite matrix polynomials. Zbl 1061.33007Defez, E.; Hervás, A.; Jódar, L.; Law, A. 6 2004 Chebyshev matrix polynomials and second order matrix differential equations. Zbl 0998.15034Defez, Emilio; Jódar, Lucas 19 2002 Matrix cubic splines for progressive 3D imaging. Zbl 1020.68099Defez, E.; Villanueva-Oller, J.; Villanueva, R. J.; Law, A. 9 2002 A procedure for computing the exponential of a matrix using Hermite matrix polynomials. Zbl 1006.65073Defez, E.; Garcia-Honrubia, M.; Villanueva, R. J. 6 2002 Orthogonal matrix polynomials and quadrature formulas. Zbl 0990.42009Durán, Antonio J.; Defez, Emilio 4 2002 Matrix Newton interpolation and progressive 3D imaging: PC-based computation. Zbl 1004.65013Defez, E.; Law, A.; Villanueva-Oller, J.; Villanueva, R. J. 2 2002 Three-term recurrences and matrix orthogonal polynomials. Zbl 0962.05064Defez, E.; Jódar, L.; Law, A.; Ponsoda, E. 15 2000 Progressive transmission of images: PC-based computations, using orthogonal matrix polynomials. Zbl 0965.68117Defez, E.; Hervás, A.; Law, A.; Villanueva-Oller, J.; Villanueva, R. J. 7 2000 Some applications of the Hermite matrix polynomials series expansions. Zbl 0929.33006Defez, Emilio; Jódar, Lucas 33 1998 On Hermite matrix polynomials and Hermite matrix functions. Zbl 0911.15015Jódar, Lucas; Defez, Emilio 19 1998 A connection between Laguerre’s and Hermite’s matrix polynomials. Zbl 1074.33011Jódar, L.; Defez, E. 12 1998 Some new matrix formulas related to Hermite matrix polynomials theory. Zbl 0929.15022Jódar, Lucas; Defez, Emilio 4 1997 Orthogonal matrix polynomials with respect to a conjugate bilinear matrix moment functional: Basic theory. Zbl 0911.15014Jödar, Lucas; Defez, Emilio 3 1997 Analytic-numerical solutions with a priori error bounds for time-dependent mixed partial differential problems. Zbl 0907.65089Jódar, L.; Defez, E. 1 1997 Orthogonal matrix polynomials with respect to linear matrix moment functionals: Theory and applications. Zbl 0853.42022Jódar, L.; Defez, E.; Ponsoda, E. 11 1996 Matrix quadrature integration and orthogonal matrix polynomials. Zbl 0836.33004Jódar, Lucas; Defez, Emilio; Ponsoda, Enrique 8 1995 all cited Publications top 5 cited Publications all top 5 Cited by 121 Authors 35 Defez, Emilio 22 Sastre, Jorge 17 Ibáñez González, Jacinto Javier 10 Jódar Sanchez, Lucas Antonio 7 Ruiz, Pedro A. 7 Shehata, Ayman 6 Peinado, Jesús 6 Tung, Michael M. 5 Hervás, Antonio 5 Law, Alan G. 4 Blanes, Sergio 4 Duran, Antonio J. 3 Abdalla, Mohamed 3 Al-Gonah, Ahmed Ali 3 Alonso, Pedro 3 Bader, Philipp 3 Bakhet, Ahmed 3 Batahan, Raed S. 3 Çekım, Bayram 3 Cortés López, Juan Carlos 3 Dette, Holger 3 Dwivedi, Ravi 3 Ponsoda, Enrique 3 Sahai, Vivek 3 Villanueva-Oller, Javier 3 Villanueva, Rafael-Jacinto 3 Yasmin, Ghazala 2 Alonso-Jordá, Pedro 2 Bathanya, A. A. 2 Binsaad, Maged G. 2 Casas, Fernando 2 Criado, Regino 2 He, Fuli 2 Khan, Subuhi 2 Metwally, M. S. 2 Mishra, Vinod Kumar 2 Mohamed, M. T. 2 Rani, Dimple 2 Romero, José Vicente 2 Roselló, María Dolores 2 Seydaoğlu, Muaz 2 Soler, Luna 2 Soler, Vicente 2 Solís, Francisco Javier 2 Studden, William J. 2 Taşdelen, Fatma 2 Torregrosa Sanchez, Juan Ramón 2 Verdoy, José Antonio 1 Abdalla, Michael D. 1 Abul-Dahab, Mohamed 1 Abul-ez, M. A. 1 Ahmad, Bashir 1 Ahn, Sun Shin 1 Aktaş, Rabia 1 Al-Mohy, Awad H. 1 Al-Samadi, Fatima Mohammed 1 Altin, Abdullah 1 Baeza, I. 1 Beik, Samaneh Panjeh Ali 1 Bellour, Azzeddine 1 Caliari, Marco 1 Capilla, Roberto 1 Cardoso, João R. 1 Cattani, Carlo 1 Company, Rafael 1 Constales, Denis 1 Costin, Rodica D. 1 Damanik, David 1 Daneri-Vias, Enrique 1 Dave, B. I. 1 Ehrhardt, Matthias Joachim 1 Fasi, Massimiliano 1 Frommer, Andreas 1 Golbabai, Ahmad 1 Grünbaum, Francisco Alberto 1 Haroon, Hiba 1 Hashemi, Behnam 1 Hausenblas, Erika 1 Hidan, M. M. 1 Higham, Nicholas J. 1 Islahi, Hibah 1 Javidi, Mohammad 1 Jiao, Yong 1 Jun, Young Bae 1 Kan, Osman 1 Khan, Abdul Hakim 1 Khan, Mumtaz Ahmad 1 Khan, Waseem Ahmad 1 Khana, Subuhi 1 Killip, Rowan 1 Kishka, Z. M. G. 1 Kopylov, Nikita 1 Ku-Carrillo, Roberto Alejandro 1 Li, Zhongkai 1 Mackey, D. Steven 1 Micó, Rafael Jacinto Villanueva 1 Mohsen, Fadhle B. F. 1 Nathwani, B. V. 1 Pathan, Mahmood Ahmad 1 Perović, Vasilije ...and 21 more Authors all top 5 Cited in 47 Serials 12 Journal of Computational and Applied Mathematics 10 Mathematical and Computer Modelling 10 Linear Algebra and its Applications 6 Computers & Mathematics with Applications 6 Applied Mathematics and Computation 4 Linear and Multilinear Algebra 4 Abstract and Applied Analysis 3 Applied Mathematics Letters 3 Afrika Matematika 2 Journal of Approximation Theory 2 SIAM Journal on Matrix Analysis and Applications 2 International Journal of Computer Mathematics 2 SIAM Journal on Scientific Computing 2 Honam Mathematical Journal 2 Acta et Commentationes Universitatis Tartuensis de Mathematica 2 Asian-European Journal of Mathematics 2 Tbilisi Mathematical Journal 2 Acta Universitatis Sapientiae. Mathematica 2 Symmetry 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Reports on Mathematical Physics 1 The Journal of the Indian Mathematical Society. New Series 1 Quaestiones Mathematicae 1 Advances in Applied Mathematics 1 Applied Numerical Mathematics 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Computational and Applied Mathematics 1 Journal of the Egyptian Mathematical Society 1 Integral Transforms and Special Functions 1 The Ramanujan Journal 1 Annals of Mathematics. Second Series 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 Analysis in Theory and Applications 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Applications and Applied Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Classical Analysis 1 Algebra 1 International Journal of Applied and Computational Mathematics all top 5 Cited in 21 Fields 52 Linear and multilinear algebra; matrix theory (15-XX) 48 Numerical analysis (65-XX) 47 Special functions (33-XX) 21 Ordinary differential equations (34-XX) 9 Approximations and expansions (41-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 5 Partial differential equations (35-XX) 4 Integral transforms, operational calculus (44-XX) 4 Operator theory (47-XX) 3 General and overarching topics; collections (00-XX) 3 Computer science (68-XX) 3 Information and communication theory, circuits (94-XX) 2 Nonassociative rings and algebras (17-XX) 2 Biology and other natural sciences (92-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) Citations by Year