Publications

BOOKS

• F.J. Aragón-Artacho, M.A. Goberna: Mathematics in Politics and Governance. Springer (2024). [Link]

• F.J. Aragón, M.A. Goberna, M.A. López, M.M.L. Rodríguez: Nonlinear Optimization. Springer Undergraduate Texts in Mathematics and Technology (2019). [Link]

PAPERS ACCEPTED OR PUBLISHED

1. F.J. Aragón-Artacho,  R.I. Bot, D. Torregrosa-Belén: A primal-dual splitting algorithm for composite monotone inclusions with minimal lifting. Numer. Algor.  93 (2023), 103–130. [PDF Open Access]

2. F.J. Aragón-Artacho,  Y. Malitsky, M.K. Tam, D. Torregrosa-Belén: Distributed forward-backward methods for ring networks. Comput. Optim. Appl. 86 (2023), 845–870. [PDF Open Access]

3. F.J. Aragón Artacho, Y. Censor, A. Gibali, D. Torregrosa-Belén: The superiorization method with restarted perturbations for split minimization problems with an application to radiotherapy treatment planning. Appl. Math. Comput. 440 (2023), 127627. [PDF Open Access]

4. F.J. Aragón Artacho, R. Campoy, P.T. Vuong: The Boosted DC Algorithm for linearly constrained DC programming. Set-Valued Var. Anal. 30 (2022), 1265–1289. [PDF Open Access]

5. F.J. Aragón-Artacho, D. Torregrosa-Belén: A direct proof of convergence of Davis–Yin splitting algorithm allowing larger stepsizes. Set-Valued Var. Anal. 30 (2022), 1011–1029. [PDF Open Access]

6. F.J. Aragón Artacho, R. Campoy, M.K. Tam: Strengthened splitting methods for computing resolvents. Comput. Optim. Appl. 80  (2021), 549-585. [Link] [arXiv]

7. F.J. Aragón Artacho, R. Campoy, P.T. Vuong: Using positive spanning sets to achieve stationarity with the Boosted DC Algorithm. Vietnam J. Math. 48 (2020), 363–376. [PDF Open Access]

8. F.J. Aragón Artacho, R. Campoy, M.K. Tam: The Douglas-Rachford algorithm for convex and nonconvex feasibility problems. Math. Methods Oper. Res. 91 (2020), 201–240. [Link] [arXiv]

9. F.J. Aragón Artacho, P.T. Vuong: The Boosted Difference of Convex functions Algorithm for nonsmooth functions. SIAM J. Optim. 30 (2020), No. 1, 980-1006. [Link] [arXiv]

10. F.J. Aragón Artacho, R. Campoy, V. Elser: An enhanced formulation for solving graph coloring problems with the Douglas–Rachford algorithm. J. Glob. Optim. 77 (2020), 383–403. [Link] [arXiv]

11. M. Ahookhosh, F.J. Aragón Artacho, R.M.T. Fleming, P.T. Vuong: Local convergence of the Levenberg–Marquardt method under Hölder metric subregularity. Adv. Comput. Math. 45 (2019), 2771–2806. [Link] [arXiv]

12. F.J. Aragón Artacho, P. Segura Martínez: Finding magic squares with the Douglas-Rachford algorithm. BEIO 35 (2019), No. 2, 106-128. [Link] [arXiv]

13. F.J. Aragón Artacho, R. Campoy: Optimal rates of linear convergence of the averaged alternating modified reflections method for two subspaces. Numer. Algor. 82 (2019), Issue 2, 397–421. [Link] [arXiv]

14. F.J. Aragón Artacho, Y. Censor, A. Gibali: The cyclic Douglas–Rachford algorithm with r-sets-Douglas–Rachford operators. Optim. Methods Softw. 34 (2019), Issue 4, 875–889. [Link] [arXiv]

15. F.J. Aragón Artacho, R. Campoy: Computing the resolvent of the sum of maximally monotone operators with the averaged alternating modified reflections algorithm. J. Optim. Th. Appl. 181 (2019), Issue 3, 709–726. [Link] [arXiv]

16. L. Heirendt, S. Arreckx, […] R.M.T. Fleming: Creation and analysis of biochemical constraint-based models using the COBRA Toolbox v. 3.0. Nature Protocols 14 (2019), 639–702. [Link] [arXiv]

17. F.J. Aragón Artacho, R. Campoy: Solving graph coloring problems with the Douglas-Rachford algorithm. Set-Valued Var. Anal. 26 (2018), 277–304. [Link] [arXiv]

18. F.J. Aragón Artacho, R. Campoy: A new projection method for finding the closest point in the intersection of convex sets. Comput. Optim. Appl. 69 (2018), No. 1, 99–132. [Link] [arXiv]

19. F.J. Aragón Artacho, R.M.T. Fleming, P.T. Vuong: Accelerating the DC algorithm for smooth functions. Math. Program. 169B (2018), 95–118. [PDF Open Access]

20. F.J. Aragón Artacho, R. Campoy, I. Kotsireas, M.K. Tam: A feasibility approach for constructing combinatorial designs of circulant type. J. Comb. Optim. 35 (2018), No. 4, 1061-1085. [Link] [arXiv] 

21. F.J. Aragón Artacho, J.M. Borwein, M.K. Tam: Global behavior of the Douglas-Rachford method for a nonconvex feasibility problem. J. Glob. Optim. 65 (2016), No. 2, 309–327. [Link] [arXiv]

22. F.J. Aragón Artacho, R.M.T. Fleming: Globally convergent algorithms for finding zeros of duplomonotone mappings. Optim. Lett. 9 (2015), No. 3, 569–584. [PDF Open Access]

23. F.J. Aragón Artacho, J.M. Borwein, M.K. Tam: Recent results on Douglas–Rachford methods for combinatorial optimization problems. J. Optim. Th. Appl. 163 (2014), 1–30. [Link] [arXiv]

24. F.J. Aragón Artacho, J.M. Borwein, V. Martín-Márquez, L. Yao: Applications of convex analysis within mathematics. Math. Program. 148B (2014), Issue 1-2, 49–88. [Link] [arXiv]

25. F.J. Aragón Artacho, J.M. Borwein, M.K. Tam: Douglas–Rachford Feasibility Methods for Matrix Completion Problems. ANZIAM J. 55 (2014), No. 4, 299-326. [Link] [arXiv]

26. F.J. Aragón Artacho, A. Belyakov, A.L. Dontchev, M. López: Local convergence of quasi-Newton methods under metric regularity. Comput. Optim. Appl. 58 (2014), No. 1, 225–247. [Link] [Preprint: free PDF]

27. F.J. Aragón Artacho, M.H. Geoffroy: Metric subregularity of the convex subdifferential in Banach spaces. J. Nonlinear Convex A. 15 (2014), No. 1, 35–47. [Link] [Preprint: free PDF]

28. F.J. Aragón Artacho, J.M. Borwein, M.K. Tam: Recent results on Douglas–Rachford methods. Serdica Math. J. 39 (2013), 313--330. [PDF Open Access]

29. F.J. Aragón Artacho, D.H. Bailey, J.M. Borwein, P.B. Borwein: Walking on real numbers. Math. Intelligencer 35 (2013), No. 1, 42–60. [Link] [Preprint: free PDF]

30. F.J. Aragón Artacho, J.M. Borwein: Global convergence of a non-convex Douglas-Rachford iteration. J. Glob. Optim. 57 (2013), Issue 3, 753–769. [Link] [Preprint: free PDF]

31. F.J. Aragón Artacho, M. Gaydu: A Lyusternik-Graves theorem for the proximal point method. Comput. Optim. Appl. 52 (2012), No. 3, 785–803. [Link] [Preprint: free PDF]

32. F.J. Aragón Artacho, A.L. Dontchev, M. Gaydu, M.H. Geoffroy, V.M. Veliov: Metric regularity of Newton’s iteration. SIAM J. Control Optim. 49 (2011), No. 2, 339–362. [Link] [Preprint: free PDF]

33. F.J. Aragón Artacho, B.S. Mordukhovich: Enhanced metric regularity and Lipschitzian properties of variational systems. J. Glob. Optim. 50 (2011), No. 1, 145–167. [Link] [Preprint: free PDF]

34. F.J. Aragón Artacho, B.S. Mordukhovich: Metric regularity and Lipschitzian stability of parametric variational systems. Nonlinear Anal. 72 (2010), No. 3-4, 1149–1170. [Link] [Preprint: free PDF]

35. F.J. Aragón Artacho, M.H. Geoffroy: Characterization of metric regularity of subdifferentials. J. Convex Anal. 15 (2008), No. 2, 365–380. [Link] [Preprint: free PDF]

36. F.J. Aragón Artacho, M.H. Geoffroy: Uniformity and inexact version of a proximal method for metrically regular mappings. J. Math. Anal. Appl. 335 (2007), No. 1, 168–183. [Link] [Preprint: free PDF]

37. F.J. Aragón Artacho: A new and self-contained proof of Borwein’s norm duality theorem. Set-Valued Anal. 15 (2007), No. 3, 307–315. [Link] [Preprint: free PDF]

38. F.J. Aragón Artacho, A.L. Dontchev: On the inner and outer norms of sublinear mappings. Set-Valued Anal. 15 (2007), No. 1, 61–65. [Link] [Preprint: free PDF]

39. F.J. Aragón Artacho, A.L. Dontchev, M.H. Geoffroy: Convergence of the proximal point method for metrically regular mappings. ESAIM Proc. 17 (2007), 1–8. [PDF Open Access]

PAPERS SUBMITTED

1. F.J. Aragón-Artacho, B.S. Mordukhovich, P. Pérez-Aros: Coderivative-based semi-Newton method in nonsmooth difference programming. Submitted in January 2023, 38 pages. [arXiv: 2301.03491]

2. F.J. Aragón-Artacho, P. Pérez-Aros, D. Torregrosa-Belén: The Boosted Double-proximal Subgradient Algorithm for nonconvex optimization. Submitted in July 2023, 32 pages. [arXiv: 2306.17144]

PH.D. THESIS

• “On Metric Regularity of Mappings in Optimization”, University of Murcia (Spain), 2007. [PDF]