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Marcos Raydan completed the Doctor of Philosophy in Computational and Applied Mathematics in April 1991, Rice University (Houston, Tx), Magister in Mathematics in June 1984, Universidad Central de Venezuela and Bachelor in Scientific Computing in December 1978, Universidad Simón Bolivar (Caracas). He is a Principal Investigator in Universidade Nova de Lisboa, Centro de Matemática e Aplicações (CMA), Portugal. He has published over 85 articles in journals and 3 books in scientific computing. His research interests include Continuous Optimization, Numerical Analysis, and Nonlinear Matrix Problems, with a special focus on the  development of algorithms for large-scale computations. The motivation for his algorithmic and theoretical research stems from applications in  computational chemistry, control problems, image restoration, and seismic inversion.
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Identification

Personal identification

Full name
Marcos Raydan

Citation names

  • Raydan, Marcos

Author identifiers

Ciência ID
4A10-1121-AAC4
ORCID iD
0000-0003-0417-7981
Google Scholar ID
Marcos Raydan

Addresses

  • Building VII, Campus FCT, UNL, 2829-516, Caparica , Almada , Portugal (Professional)

Websites

Knowledge fields

  • Exact Sciences - Mathematics - Applied Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
English Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2)
Spanish; Castilian (Mother tongue)
French Upper intermediate (B2) Advanced (C1) Elementary (A2) Advanced (C1) Advanced (C1)
Portuguese Elementary (A2) Proficiency (C2) Elementary (A2) Proficiency (C2) Elementary (A2)
Education
Degree Classification
1986/09/01 - 1991/04/01
Concluded
 Computational and Applied Mathematics (Doctor of Philosophy)
Major in Scientific Computing
Rice University, United States
1982/03/05 - 1984/06/03
Concluded
 Matematicas (Magister)
Universidad Central de Venezuela, Venezuela
1973/09/10 - 1978/12/05
Concluded
 Scientific Computing (Bachelor)
Major in Numerical Analysis
Universidad Simón Bolivar, Venezuela
Affiliation

Science

Category
Host institution 		Employer
2019/05/01 - Current Principal Investigator (Research) Universidade Nova Centro de Matemática e Aplicações, Portugal

Others

Category
Host institution 		Employer
2008/01/07 - 2017/03/14 Professor Investigador Universidad Simón Bolivar, Venezuela
Universidad Simón Bolivar, Venezuela
1992/09/15 - 2006/11/04 Professor Investigador Universidad Central de Venezuela, Venezuela
Universidad Central de Venezuela, Venezuela
1991/08/18 - 1992/07/15 Invited Professor University of Kentucky, United States
University of Kentucky, United States
Projects

Grant

Designation Funders
2021/04/01 - 2024/04/01 MONET
PTDC/CCI-Bio/4180/2020
Integration into Research Grant Fellow
Universidade Nova de Lisboa, Portugal
 Fundação para a Ciência e a Tecnologia
Ongoing
2011/09 - 2013/09 Modeling and Scientific Computing for solving oil industry problems
Project No-201200140
 CNRS-FONACIT
2006/03 - 2011/03 Image restoration using nonlinear models
Project 2006000266
 Comisión Nacional de Investigación Científica y Tecnológica Fondo Nacional de Desarrollo Científico y Tecnológico
2000/10 - 2006/10 Numerical Optimization Techniques for Inverse Seismic Problems
Project UCV-97003769
 PDVSA-CONICIT
1994/04 - 1997/04 Numerical Techniques for large-Scale Unconstrained Optimization
Project 03-13.0034.93
 Consejo de Desarrollo Científico y Humanístico, Universidad Central de Venezuela
1991/09 - 1996/07 Molecular Conformations from Distance Geometry
NSF Grant CHE-9301120
 National Science Foundation

Contract

Designation Funders
2021/03/01 - 2024/02/29 Redes multi-ómicas em gliomas
PTDC/CCI-BIO/4180/2020
Universidade do Minho, Portugal

Universidade Nova de Lisboa NOVAMath, Portugal

Instituto de Telecomunicações Lisboa, Portugal

Instituto de Engenharia de Sistemas e Computadores Investigação e Desenvolvimento em Lisboa, Portugal

Universidade Nova de Lisboa Associação para a Inovação e Desenvolvimento da FCT, Portugal
Fundação para a Ciência e a Tecnologia
Ongoing
2019/04/01 - 2021/07/01 Separable Cubic Modeling in Optimization: Extensions and Applications
Project FCT-CEECIND/02211/2017
Principal investigator
Ongoing
2013/11 - 2016/11 Cubic modeling in optimization
No-313814/2013-9
 Conselho Nacional de Desenvolvimento Científico e Tecnológico
Outputs

Publications

Book
  1. Raydan, Marcos. Análisis Numérico: Teoría y Práctica. Bahia Blanca, Argentina: Editorial EDIUNS, Universidad Nacional del Sur. 2017.
    Published
  2. Raydan, Marcos. Alternating Projection Methods. Philadelphia, United States: SIAM. 2011.
    Published
  3. Raydan, Marcos. Métodos Iterativos tipo Krylov para Sistemas Lineales. Caracas, Venezuela: Centro de Estudios Avanzados, Instituto de Investigaciones Científicas (IVIC), Caracas. 2004.
    Published
Book chapter
  1. Raydan, Marcos. "Nonlinear equations and Newton's method". In The Princeton Companion in Applied Mathematics. London, United Kingdom: Princeton University Press, 2015.
    Published
  2. Monsalve, M.; Raydan, M.. "A secant method for nonlinear matrix problems". In Special Volume in Numerical Linear Algebra in Signals, Systems and Control, Springer, Series: Lecture Notes in Electrical Engineering. Amsterdam, Netherlands: Springer, 2011.
    10.1007/978-94-007-0602-6_18
Conference paper
  1. Salazar, A.; Raydan, M.; Campo, A.. "Theoretical analysis of exponential transversal method of lines for the diffusion equation". 1996.
Journal article
  1. N. Krejic; E.H.M. Krulikovski; M. Raydan. "An augmented Lagrangian approach for cardinality constrained minimization applied to variable selection problems". Applied Numerical Mathematics (2023): https://doi.org/10.1016/j.apnum.2023.12.006.
    10.1016/j.apnum.2023.12.006
  2. Jorge Orestes Cerdeira; Maria Joao Martins; Marcos Raydan. "The max-out min-in problem: A tool for data analysis". Computers & Operations Research 154 (2023): 106218-106218. http://dx.doi.org/10.1016/j.cor.2023.106218.
    10.1016/j.cor.2023.106218
  3. A. L. Custódio; R. Garmanjani; M. Raydan. "Derivative-free separable quadratic modeling and cubic regularization for unconstrained optimization". 4OR (2023): https://doi.org/10.1007/s10288-023-00541-9.
    10.1007/s10288-023-00541-9
  4. R. Andreani; H. Oviedo; M. Raydan; L.D. Secchin. "An extended delayed weighted gradient algorithm for solving strongly convex optimization problems". Journal of Computational and Applied Mathematics (2022): https://doi.org/10.1016/j.cam.2022.114525.
    10.1016/j.cam.2022.114525
  5. Harry Oviedo; Roberto Andreani; Marcos Raydan. "A family of optimal weighted conjugate-gradient-type methods for strictly convex quadratic minimization". Numerical Algorithms (2022): https://doi.org/10.1007/s11075-021-01228-0.
    10.1007/s11075-021-01228-0
  6. Raydan, Marcos. "Relationship between quality of basis for surface approximation and the effect of applying preconditioning strategies to their resulting linear systems". Computational and Applied Mathematics (COAM) 40 2 (2021):
    In press
  7. Raydan, Marcos. "Properties of the delayed weighted gradient method". Computational Optimization and Applications (2020): http://dx.doi.org/10.1007/s10589-020-00232-9.
    10.1007/s10589-020-00232-9
  8. Raydan, Marcos. "A metaheuristic penalty approach for the starting point in nonlinear programming". RAIRO - Operations Research (2020): http://dx.doi.org/10.1051/ro/2019096.
    10.1051/ro/2019096
  9. Raydan, Marcos. "Large-scale unconstrained optimization using separable cubic modeling and matrix-free subspace minimization". Computational Optimization and Applications (2020): http://dx.doi.org/10.1007/s10589-019-00138-1.
    10.1007/s10589-019-00138-1
  10. Chehab, Jean-Paul; Raydan, Marcos. "Geometrical inverse matrix approximation for least-squares problems and acceleration strategies". Numerical Algorithms (2020): http://dx.doi.org/10.1007/s11075-019-00862-z.
    10.1007/s11075-019-00862-z
  11. Raydan, Marcos. "Nonlinear Least-Squares Approach for Large-Scale Algebraic Riccati Equations". SIAM Journal on Scientific Computing (2019): http://dx.doi.org/10.1137/18m1198922.
    10.1137/18m1198922
  12. Jbilou, K.; Raydan, M.. "Nonlinear least-squares approach for large-scale algebraic Riccati equations". SIAM Journal on Scientific Computing 41 4 (2019): A2193-A2211. http://www.scopus.com/inward/record.url?eid=2-s2.0-85071918742&partnerID=MN8TOARS.
    10.1137/18M1198922
  13. Bouhamidi, A.; Bellalij, M.; Enkhbat, R.; Jbilou, K.; Raydan, M.. "Conditional Gradient Method for Double-Convex Fractional Programming Matrix Problems". Journal of Optimization Theory and Applications 176 1 (2018): 163-177. http://www.scopus.com/inward/record.url?eid=2-s2.0-85037649027&partnerID=MN8TOARS.
    10.1007/s10957-017-1203-3
  14. Martínez, J.M.; Raydan, M.. "Cubic-regularization counterpart of a variable-norm trust-region method for unconstrained minimization". Journal of Global Optimization 68 2 (2017): 367-385. http://www.scopus.com/inward/record.url?eid=2-s2.0-84991328710&partnerID=MN8TOARS.
    10.1007/s10898-016-0475-8
  15. Loreto, M.; Aponte, H.; Cores, D.; Raydan, M.. "Nonsmooth spectral gradient methods for unconstrained optimization". EURO Journal on Computational Optimization 5 4 (2017): 529-553. http://www.scopus.com/inward/record.url?eid=2-s2.0-85036456762&partnerID=MN8TOARS.
    10.1007/s13675-017-0080-8
  16. Chehab, J.-P.; Raydan, M.. "Inexact Newton’s method with inner implicit preconditioning for algebraic Riccati equations". Computational and Applied Mathematics 36 2 (2017): 955-969. http://www.scopus.com/inward/record.url?eid=2-s2.0-85018313802&partnerID=MN8TOARS.
    10.1007/s40314-015-0274-8
  17. Gomes, F.M.; Martínez, J.M.; Raydan, M.. "On the computation of large-scale self-consistent-field iterations". Journal of Mathematical Chemistry 55 5 (2017): 1158-1172. http://www.scopus.com/inward/record.url?eid=2-s2.0-85010789878&partnerID=MN8TOARS.
    10.1007/s10910-017-0731-2
  18. Chehab, J.-P.; Raydan, M.. "Geometrical inverse preconditioning for symmetric positive definite matrices". Mathematics 4 3 (2016): http://www.scopus.com/inward/record.url?eid=2-s2.0-85054218904&partnerID=MN8TOARS.
    10.3390/math4030046
  19. Andretta, M.; Birgin, E.G.; Raydan, M.. "An inner-outer nonlinear programming approach for constrained quadratic matrix model updating". Mechanical Systems and Signal Processing 66-67 (2016): 78-88. http://www.scopus.com/inward/record.url?eid=2-s2.0-84955708039&partnerID=MN8TOARS.
    10.1016/j.ymssp.2015.05.002
  20. Fortes, M.A.; Raydan, M.; Sajo-Castelli, A.M.. "Inverse-free recursive multiresolution algorithms for a data approximation problem". Computers and Mathematics with Applications 72 4 (2016): 1177-1187. http://www.scopus.com/inward/record.url?eid=2-s2.0-84992482199&partnerID=MN8TOARS.
    10.1016/j.camwa.2016.06.042
  21. López, W.; Raydan, M.. "An acceleration scheme for Dykstra’s algorithm". Computational Optimization and Applications 63 1 (2016): 29-44. http://www.scopus.com/inward/record.url?eid=2-s2.0-84953639835&partnerID=MN8TOARS.
    10.1007/s10589-015-9768-y
  22. Martínez, J.M.; Raydan, M.. "Separable cubic modeling and a trust-region strategy for unconstrained minimization with impact in global optimization". Journal of Global Optimization 63 2 (2015): 319-342. http://www.scopus.com/inward/record.url?eid=2-s2.0-84941995313&partnerID=MN8TOARS.
    10.1007/s10898-015-0278-3
  23. Birgin, E.G.; Krejic, N.; Martínez, J.M.; Raydan, M.. "Special issue dedicated to selected surveys in nonlinear programming". Pesquisa Operacional 34 3 (2014): 371-372. http://www.scopus.com/inward/record.url?eid=2-s2.0-84911417615&partnerID=MN8TOARS.
    10.1590/0101-7438.2014.034.03.0371
  24. Sajo-Castelli, A.M.; Fortes, M.A.; Raydan, M.. "Preconditioned conjugate gradient method for finding minimal energy surfaces on Powell-Sabin triangulations". Journal of Computational and Applied Mathematics 268 (2014): 34-55. http://www.scopus.com/inward/record.url?eid=2-s2.0-84896444950&partnerID=MN8TOARS.
    10.1016/j.cam.2014.02.030
  25. Campo, A.; Salazar, A.J.; Celentano, D.J.; Raydan, M.. "Accurate analytical/numerical solution of the heat conduction equation". International Journal of Numerical Methods for Heat and Fluid Flow 24 7 (2014): 1519-1536. http://www.scopus.com/inward/record.url?eid=2-s2.0-84912111255&partnerID=MN8TOARS.
    10.1108/HFF-01-2013-0030
  26. Birgin, E.G.; Martínez, J.M.; Raydan, M.. "Spectral projected gradient methods: Review and perspectives". Journal of Statistical Software 60 3 (2014): 1-21. http://www.scopus.com/inward/record.url?eid=2-s2.0-84907533558&partnerID=MN8TOARS.
    10.18637/jss.v060.i03
  27. Monsalve, M.; Raydan, M.. "Erratum: "a new inversion-free method for a rational matrix equation" [Linear Algebra and Its Applications (2010) 433:1 (64-71))". Linear Algebra and Its Applications 448 (2014): 343-344. http://www.scopus.com/inward/record.url?eid=2-s2.0-84897491545&partnerID=MN8TOARS.
    10.1016/j.laa.2014.02.021
  28. Raydan, Marcos. "Pseudoinverse preconditioners and iterative methods for large dense linear least-squares problems". Bulletin of Computational Applied Mathematics 1 (2013): 69-91.
    Published
  29. Guerrero, J.; Raydan, M.; Rojas, M.. "A hybrid-optimization method for large-scale non-negative full regularization in image restoration". Inverse Problems in Science and Engineering 21 5 (2013): 741-766. http://www.scopus.com/inward/record.url?eid=2-s2.0-84880025514&partnerID=MN8TOARS.
    10.1080/17415977.2012.720684
  30. Andreani, R.; Raydan, M.; Tarazaga, P.. "On the geometrical structure of symmetric matrices". Linear Algebra and Its Applications 438 3 (2013): 1201-1214. http://www.scopus.com/inward/record.url?eid=2-s2.0-84870386307&partnerID=MN8TOARS.
    10.1016/j.laa.2012.07.048
  31. Hernández-Ramos, L.M.; Escalante, R.; Raydan, M.. "Unconstrained optimization techniques for the acceleration of alternating projection methods". Numerical Functional Analysis and Optimization 32 10 (2011): 1041-1066. http://www.scopus.com/inward/record.url?eid=2-s2.0-80051768836&partnerID=MN8TOARS.
    10.1080/01630563.2011.591954
  32. Bouhamidi, A.; Jbilou, K.; Raydan, M.. "Convex constrained optimization for large-scale generalized Sylvester equations". Computational Optimization and Applications 48 2 (2011): 233-253. http://www.scopus.com/inward/record.url?eid=2-s2.0-79956151026&partnerID=MN8TOARS.
    10.1007/s10589-009-9253-6
  33. Monsalve, M.; Raydan, M.. "Newton's method and secant methods: A longstanding relationship from vectors to matrices". Portugaliae Mathematica 68 4 (2011): 431-475. http://www.scopus.com/inward/record.url?eid=2-s2.0-84877356125&partnerID=MN8TOARS.
    10.4171/PM/1901
  34. Chehab, J.-P.; Raydan, M.. "An implicit preconditioning strategy for large-scale generalized Sylvester equations". Applied Mathematics and Computation 217 21 (2011): 8793-8803. http://www.scopus.com/inward/record.url?eid=2-s2.0-79956082262&partnerID=MN8TOARS.
    10.1016/j.amc.2011.03.148
  35. Raydan, Marcos. "Computing a nearest correlation matrix with factor structure". SIAM J. Matrix Analysis and Applications 31 (2010): 2603-2622.
    Published
  36. De Abreu, B.; Raydan, M.. "Residual methods for the large-scale matrix pth root and some related problems". Applied Mathematics and Computation 217 2 (2010): 650-660. http://www.scopus.com/inward/record.url?eid=2-s2.0-77955660823&partnerID=MN8TOARS.
    10.1016/j.amc.2010.06.002
  37. Bello, L.; La Cruz, W.; Raydan, M.. "Residual algorithm for large-scale positive definite generalized eigenvalue problems". Computational Optimization and Applications 46 2 (2010): 217-227. http://www.scopus.com/inward/record.url?eid=2-s2.0-77954758420&partnerID=MN8TOARS.
    10.1007/s10589-009-9250-9
  38. Monsalve, M.; Raydan, M.. "A new inversion-free method for a rational matrix equation". Linear Algebra and Its Applications 433 1 (2010): 64-71. http://www.scopus.com/inward/record.url?eid=2-s2.0-77950865355&partnerID=MN8TOARS.
    10.1016/j.laa.2010.02.006
  39. Moreno, J.; Datta, B.; Raydan, M.. "A symmetry preserving alternating projection method for matrix model updating". Mechanical Systems and Signal Processing 23 6 (2009): 1784-1791. http://www.scopus.com/inward/record.url?eid=2-s2.0-67349116530&partnerID=MN8TOARS.
    10.1016/j.ymssp.2008.06.011
  40. Raydan, Marcos. "Specialized hybrid Newton schemes for matrix p-th roots". Applied Mathematical Sciences 2 49 (2008): 2401-2424.
    Published
  41. Júdice, J.J.; Raydan, M.; Rosa, S.S.; Santos, S.A.. "On the solution of the symmetric eigenvalue complementarity problem by the spectral projected gradient algorithm". Numerical Algorithms 47 4 (2008): 391-407. http://www.scopus.com/inward/record.url?eid=2-s2.0-42149123694&partnerID=MN8TOARS.
    10.1007/s11075-008-9194-7
  42. Chehab, J.-P.; Raydan, M.. "Geometrical properties of the Frobenius condition number for positive definite matrices". Linear Algebra and Its Applications 429 8-9 (2008): 2089-2097. http://www.scopus.com/inward/record.url?eid=2-s2.0-49249108717&partnerID=MN8TOARS.
    10.1016/j.laa.2008.06.006
  43. Diniz-Ehrhardt, M.A.; Martínez, J.M.; Raydan, M.. "A derivative-free nonmonotone line-search technique for unconstrained optimization". Journal of Computational and Applied Mathematics 219 2 (2008): 383-397. http://www.scopus.com/inward/record.url?eid=2-s2.0-46749084262&partnerID=MN8TOARS.
    10.1016/j.cam.2007.07.017
  44. Chehab, J.-P.; Raydan, M.. "Implicitly preconditioned and globalized residual method for solving steady fluid flows". Electronic Transactions on Numerical Analysis 34 (2008): 136-151. http://www.scopus.com/inward/record.url?eid=2-s2.0-74949089385&partnerID=MN8TOARS.
  45. La Cruz, W.; Raydan, M.. "Residual iterative schemes for large-scale nonsymmetric positive definite linear systems". Computational and Applied Mathematics 27 2 (2008): 151-173. http://www.scopus.com/inward/record.url?eid=2-s2.0-52949143417&partnerID=MN8TOARS.
    10.1590/S0101-82052008000200003
  46. Brezinski, C.; Raydan, M.. "Cauchy-Schwarz and Kantorovich type inequalities for scalar and matrix moment sequences". Advances in Computational Mathematics 26 1-3 (2007): 71-80. http://www.scopus.com/inward/record.url?eid=2-s2.0-33847686026&partnerID=MN8TOARS.
    10.1007/s10444-004-7646-8
  47. Crema, A.; Loreto, M.; Raydan, M.. "Spectral projected subgradient with a momentum term for the Lagrangean dual approach". Computers and Operations Research 34 10 (2007): 3174-3186. http://www.scopus.com/inward/record.url?eid=2-s2.0-33847613475&partnerID=MN8TOARS.
    10.1016/j.cor.2005.11.024
  48. Bello, L.; Raydan, M.. "Convex constrained optimization for the seismic reflection tomography problem". Journal of Applied Geophysics 62 2 (2007): 158-166. http://www.scopus.com/inward/record.url?eid=2-s2.0-34248195414&partnerID=MN8TOARS.
    10.1016/j.jappgeo.2006.10.004
  49. La Cruz, W.; Martínez, J.M.; Raydan, M.. "Spectral residual method without gradient information for solving large-scale nonlinear systems of equations". Mathematics of Computation 75 255 (2006): 1429-1448. http://www.scopus.com/inward/record.url?eid=2-s2.0-33746442469&partnerID=MN8TOARS.
    10.1090/S0025-5718-06-01840-0
  50. Bello, L.; Raydan, M.. "Preconditioned spectral projected gradient method on convex sets". Journal of Computational Mathematics 23 3 (2005): 225-232. http://www.scopus.com/inward/record.url?eid=2-s2.0-18344374225&partnerID=MN8TOARS.
  51. Martínez, J.M.; Pilotta, E.A.; Raydan, M.. "Spectral gradient methods for linearly constrained optimization". Journal of Optimization Theory and Applications 125 3 (2005): 629-651. http://www.scopus.com/inward/record.url?eid=2-s2.0-21444456162&partnerID=MN8TOARS.
    10.1007/s10957-005-2093-3
  52. Chehab, J.-P.; Raydan, M.. "Implicit and adaptive inverse preconditioned gradient methods for nonlinear problems". Applied Numerical Mathematics 55 1 (2005): 32-47. http://www.scopus.com/inward/record.url?eid=2-s2.0-21844466478&partnerID=MN8TOARS.
    10.1016/j.apnum.2004.10.004
  53. Birgin, E.G.; Raydan, M.. "Robust stopping criteria for Dykstra's algorithm". SIAM Journal on Scientific Computing 26 4 (2005): 1405-1414. http://www.scopus.com/inward/record.url?eid=2-s2.0-23944458167&partnerID=MN8TOARS.
    10.1137/03060062X
  54. La Cruz, W.; Raydan, M.. "Nonmonotone spectral methods for large-scale nonlinear systems". Optimization Methods and Software 18 5 (2003): 583-599. http://www.scopus.com/inward/record.url?eid=2-s2.0-0242551553&partnerID=MN8TOARS.
    10.1080/10556780310001610493
  55. Birgin, E.G.; Martínez, J.M.; Raydan, M.. "Inexact spectral projected gradient methods on convex sets". IMA Journal of Numerical Analysis 23 4 (2003): 539-559. http://www.scopus.com/inward/record.url?eid=2-s2.0-0142199775&partnerID=MN8TOARS.
    10.1093/imanum/23.4.539
  56. Luengo, F.; Raydan, M.. "Gradient method with dynamical retards for large-scale optimization problems". Electronic Transactions on Numerical Analysis 16 (2003): 186-193. http://www.scopus.com/inward/record.url?eid=2-s2.0-3042668373&partnerID=MN8TOARS.
  57. Monsalve, M.; Moreno, J.; Escalante, R.; Raydan, M.. "Selective alternating projections to find the nearest SDD+ matrix". Applied Mathematics and Computation 145 2-3 (2003): 205-220. http://www.scopus.com/inward/record.url?eid=2-s2.0-0042522643&partnerID=MN8TOARS.
    10.1016/S0096-3003(02)00478-2
  58. Molina, B.; Raydan, M.. "Spectral variants of Krylov subspace methods". Numerical Algorithms 29 1-3 (2002): 197-208. http://www.scopus.com/inward/record.url?eid=2-s2.0-0036254099&partnerID=MN8TOARS.
    10.1023/A:1014828526857
  59. Raydan, M.; Svaiter, B.F.. "Relaxed steepest descent and Cauchy-Barzilai-Borwein method". Computational Optimization and Applications 21 2 (2002): 155-167. http://www.scopus.com/inward/record.url?eid=2-s2.0-0036471006&partnerID=MN8TOARS.
    10.1023/A:1013708715892
  60. Luengo, F.; Raydan, M.; Glunt, W.; Hayden, T.L.. "Preconditioned spectral gradient method". Numerical Algorithms 30 3-4 (2002): 241-258. http://www.scopus.com/inward/record.url?eid=2-s2.0-0036377266&partnerID=MN8TOARS.
    10.1023/A:1020181927999
  61. Raydan, M.; Tarazaga, P.. "Primal and polar approach for computing the symmetric diagonally dominant projection". Numerical Linear Algebra with Applications 9 5 (2002): 333-345. http://www.scopus.com/inward/record.url?eid=2-s2.0-0043184621&partnerID=MN8TOARS.
    10.1002/nla.277
  62. Lamotte, J.-L.; Molina, B.; Raydan, M.. "Smooth and adaptive gradient method with retards". Mathematical and Computer Modelling 36 9-10 (2002): 1161-1168. http://www.scopus.com/inward/record.url?eid=2-s2.0-0037195830&partnerID=MN8TOARS.
    10.1016/S0895-7177(02)00266-2
  63. Birgin, E.G.; Martínez, J.M.; Raydan, M.. "Algorithm 813: SPG - Software for Convex-Constrained Optimization". ACM Transactions on Mathematical Software 27 3 (2001): 340-349. http://www.scopus.com/inward/record.url?eid=2-s2.0-18044400238&partnerID=MN8TOARS.
    10.1145/502800.502803
  64. Tarazaga, P.; Raydan, M.; Hurman, A.. "Perron-Frobenius theorem for matrices with some negative entries". Linear Algebra and Its Applications 328 1-3 (2001): 57-68. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035342290&partnerID=MN8TOARS.
    10.1016/S0024-3795(00)00327-X
  65. Raydan, Marcos. "An Assessment of the Preconditioned Gradient Method with Retards for Parallel Computers". Computational and Applied Mathematics 19 (2000): 323-337.
    Published
  66. Birgin, E.G.; Martínez, J.M.; Raydan, M.. "Nonmonotone spectral projected gradient methods on convex sets". SIAM Journal on Optimization 10 4 (2000): 1196-1211. http://www.scopus.com/inward/record.url?eid=2-s2.0-0034345420&partnerID=MN8TOARS.
    10.1137/S1052623497330963
  67. Salazar, A.J.; Raydan, M.; Campo, A.. "Theoretical analysis of the exponential transversal method of lines for the diffusion equation". Numerical Methods for Partial Differential Equations 16 1 (2000): 30-41. http://www.scopus.com/inward/record.url?eid=2-s2.0-0043190900&partnerID=MN8TOARS.
    10.1002/(SICI)1098-2426(200001)16:1<30::AID-NUM3>3.0.CO;2-V
  68. Friedlander, A.; Martínez, J.M.; Molina, B.; Raydan, M.. "Gradient method with retards and generalizations". SIAM Journal on Numerical Analysis 36 1 (1999): 275-289. http://www.scopus.com/inward/record.url?eid=2-s2.0-0000213421&partnerID=MN8TOARS.
  69. Escalante, R.; Raydan, M.. "Dykstra's algorithm for constrained least-squares rectangular matrix problems". Computers and Mathematics with Applications 35 6 (1998): 73-79. http://www.scopus.com/inward/record.url?eid=2-s2.0-0032020828&partnerID=MN8TOARS.
    10.1016/S0898-1221(98)00020-0
  70. Mendoza, M.; Raydan, M.; Tarazaga, P.. "Computing the Nearest Diagonally Dominant Matrix". Numerical Linear Algebra with Applications 5 6 (1998): 461-474. http://www.scopus.com/inward/record.url?eid=2-s2.0-0032244218&partnerID=MN8TOARS.
    10.1002/(SICI)1099-1506(199811/12)5:6<461::AID-NLA141>3.0.CO;2-V
  71. Raydan, Marcos. "An Adaptive Algorithm for Bound Constrained Quadratic Minimization". Investigación Operativa 7 1-2 (1997): 67-102.
    Published
  72. Raydan, M.. "The Barzilaiai and Borwein gradient method for the large scale unconstrained minimization problem". SIAM Journal on Optimization 7 1 (1997): 26-33. http://www.scopus.com/inward/record.url?eid=2-s2.0-0031542191&partnerID=MN8TOARS.
    10.1137/S1052623494266365
  73. Escalante, R.; Raydan, M.. "Dykstra's algorithm for a constrained least-squares matrix problem". Numerical Linear Algebra with Applications 3 6 (1996): 459-471. http://www.scopus.com/inward/record.url?eid=2-s2.0-21444443737&partnerID=MN8TOARS.
    10.1002/(SICI)1099-1506(199611/12)3:6<459::AID-NLA82>3.0.CO;2-S
  74. Molina, B.; Raydan, M.. "Preconditioned Barzilai-Borwein method for the numerical solution of partial differential equations". Numerical Algorithms 13 1-2 (1996): 45-60. http://www.scopus.com/inward/record.url?eid=2-s2.0-21444432174&partnerID=MN8TOARS.
    10.1007/BF02143126
  75. Friedlander, A.; Martinez, J.M.; Raydan, M.. "A new method for large-scale box constrained convex quadratic minimization problems". Optimization Methods and Software 5 1 (1995): 57-74. http://www.scopus.com/inward/record.url?eid=2-s2.0-0029424630&partnerID=MN8TOARS.
    10.1080/10556789508805602
  76. Glunt, W.; Hayden, T.L.; Raydan, M.. "Preconditioners for distance matrix algorithms". Journal of Computational Chemistry 15 2 (1994): 227-232. http://www.scopus.com/inward/record.url?eid=2-s2.0-84986533367&partnerID=MN8TOARS.
    10.1002/jcc.540150212
  77. Raydan, M.. "On the Barzilai and Borwein choice of steplength for the gradient method". IMA Journal of Numerical Analysis 13 3 (1993): 321-326. http://www.scopus.com/inward/record.url?eid=2-s2.0-0011739235&partnerID=MN8TOARS.
    10.1093/imanum/13.3.321
  78. Glunt, W.; Hayden, T.L.; Raydan, M.. "Molecular conformations from distance matrices". Journal of Computational Chemistry 14 1 (1993): 114-120. http://www.scopus.com/inward/record.url?eid=2-s2.0-0000922470&partnerID=MN8TOARS.
    10.1002/jcc.540140115
  79. Raydan, M.. "Exact order of convergence of the secant method". Journal of Optimization Theory and Applications 78 3 (1993): 541-551. http://www.scopus.com/inward/record.url?eid=2-s2.0-0027664356&partnerID=MN8TOARS.
    10.1007/BF00939881
Thesis / Dissertation
  1. Marcucci, Marcos Raydan. "Convergence properties of the Barzilai and Borwein gradient method". PhD, 1991. http://hdl.handle.net/10362/48567.

Other

Other output
  1. A HYBRID DIRECT SEARCH AND PROJECTED SIMPLEX GRADIENT METHOD FOR CONVEX CONSTRAINED MINIMIZATION. 2023. Custódio, A. L.; Krulikovski, E.H.M.; Raydan, Marcos.
Activities

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2012/09/04 - 2016/09/22 Preconditioning strategies for the augmented Lagrangean method
Co-supervisor
 Mathematics (PhD)
Universidad Simón Bolivar, Venezuela
2011/09/02 - 2015/06/02 Acceleration schemes for Dykstra's algorithm
Supervisor
 Mathematics (PhD)
Universidad Simón Bolivar, Venezuela
2009/09/14 - 2014/02/06 Nonlinear models for image restoration
Supervisor
 Scientific Computing (PhD)
Universidad Central de Venezuela, Venezuela
2009/09/05 - 2011/11/02 Preconditioned conjugate gradient method for finding minimal energy surfaces
Supervisor
 Mathematics (Master)
Universidad Simón Bolivar, Venezuela
2007/09/06 - 2011/10/04 Unconstrained optimization techniques for the acceleration of alternating projection methods
Co-supervisor
 Scientific Computing (PhD)
Universidad Central de Venezuela, Venezuela
2008/09/09 - 2011/07/03 Image restoration using geometrical properties on the space of matrices
Co-supervisor
 Scientific Computing (Master)
Universidad Simón Bolivar, Venezuela
2007/09/06 - 2011/02/06 Alternating projection methods for matrix model updating in control theory
Co-supervisor
 Scientific Computing (PhD)
Universidad Central de Venezuela, Venezuela
2006/09/18 - 2010/11/03 Low-cost optimization techniques for large-scale nonlinear matrix problems
Supervisor
 Scientific Computing (PhD)
Universidad Central de Venezuela, Venezuela
2005/03/01 - 2008/10/05 Quasi-Newton schemes for nonlinear matrix problems
Supervisor
 Scientific Computing (PhD)
Universidad Central de Venezuela, Venezuela
2003/09/01 - 2007/02/15 Preconditioned spectral projected gradient on convex sets
Supervisor
 Scientific Computing (PhD)
Universidad Central de Venezuela, Venezuela
2004/03/03 - 2006/07/05 Derivative-free methods for large-scale nonlinear matrix problems
Supervisor
 Mathematics (Master)
Universidad Central de Venezuela, Venezuela
2002/09/08 - 2006/03/04 Subgradient spectral projected gradient method
Co-supervisor
 Scientific Computing (PhD)
Universidad Simón Bolivar, Venezuela
2000/09/06 - 2004/05/05 Nonmonotone spectral methods for large-scale nonlinear systems of equations
Supervisor
 Mathematics (PhD)
Universidad Central de Venezuela, Venezuela
2002/09/06 - 2004/05/04 Block iterative methods for large-scale Sylvester equations
Supervisor
 Scientific Computing (Master)
Universidad Central de Venezuela, Venezuela
2000/09/01 - 2002/06/05 Convex constrained optimization for the seismic reflection tomography problem
Supervisor
 Scientific Computing (Master)
Universidad Central de Venezuela, Venezuela
1996/05/06 - 1999/05/02 Block preconditioned gradient method with retards
Co-supervisor
 Scientific Computing (Master)
Universidad Central de Venezuela, Venezuela
1994/09/04 - 1997/07/15 Low-cost optimization techniques for solving the nonlinear seismic reflection tomography problem
Supervisor
 Scientific Computing (Master)
Universidad Central de Venezuela, Venezuela
1992/09/01 - 1996/05/20 Preconditioned Gradient Method with Retards
Supervisor
 Scientific Computing (PhD)
Universidad Central de Venezuela, Venezuela
1994/09/05 - 1996/05/12 Projecting on the cone of symmetric diagonally dominant matrices
Supervisor
 Scientific Computing (Master)
Universidad Central de Venezuela, Venezuela
1994/09/05 - 1996/05/05 Low-cost optimization techniques for multidimensional scaling
Supervisor
 Scientific Computing (Master)
Universidad Central de Venezuela, Venezuela
1992/09/01 - 1996/04/10 Dykstra's algorithm for least-squares matrix problems
Supervisor
 Mathematics (PhD)
Universidad Central de Venezuela, Venezuela

Journal scientific committee

Journal title (ISSN) Publisher
2011/03/01 - Current Bulletin of Computational Applied Mathematics ( 2244-8659 (ONLINE))
2012/01/05 - 2015/04/02 SIAM Fundamentals of Algorithms (Book series) SIAM
2005/01/04 - 2013/05/04 Computational & Applied Mathematics Springer
Distinctions

Award

2017 Premio Ernesto Maiz Vallenilla
Universidad Simón Bolivar, Venezuela
2000 Premio Francisco de Venanzi
Consejo de Desarrollo Científico y Humanístico, Universidad Central de Venezuela, Venezuela