List of Publications

Pre-prints

1.- F. Roldán, C. Vega. Relaxed and Inertial Nonlinear Forward-Backward with Momentum. preprint MATLAB code

Journal Papers

9.- F. Roldán. Forward Primal-Dual Half-Forward Algorithm for Splitting Four Operators. J. Optim. Theory Appl., 2025. https://doi.org/10.1007/s10957-024-02560-w. preprint MATLAB code

8.- F. Roldán. Forward-Reflected-Backward and Shadow-Douglas–Rachford with Partial Inverse for Solving Monotone Inclusions. Math Meth Oper Res., vol. 100, pp. 723–752, 2024. https://doi.org/10.1007/s00186-024-00878-9. preprint

7.- E. Chouzenoux, J.-C. Pesquet, F. Roldán. Solution of Mismatched Monotone+Lipschitz Inclusion Problems. SIAM J. Optim., Vol.34, pp. 3564-3591, 2024. https://doi.org/10.1137/23M1609166. preprint MATLAB code

6.- L. M. Briceño-Arias and F. Roldán: Primal-dual splittings as fixed point iterations in the range of linear operators, J. global Optim., vol. 85, pp. 847–866, 2023. https://doi.org/10.1007/s10898-022-01237-w. preprint

5.- L. M. Briceño-Arias and F. Roldán: Resolvent of the parallel composition and the proximity operator of the infimal postcomposition. Optim Lett Vol. 17, 399–412 2023. https://doi.org/10.1007/s11590-022-01906-5. preprint

4.- L. M. Briceño-Arias, J. Chen, F. Roldán, and Y. Tang: Forward-partial inverse-half-forward splitting algorithm for solving monotone inclusions, Set Valued Var. Anal., vol.30, pp. 1485–1502 2022. https://doi.org/10.1007/s11228-022-00649-w. preprint

3.- L. M. Briceño-Arias and F. Roldán: Four Operator Splitting via Forward-Backward-Half-Forward Algorithm with line search, J. Optim. Theory Appl., vol. 195, pp. 205–225, 2022. https://doi.org/10.1007/s10957-022-02074-3. preprint

2.- L. M. Briceño-Arias and F. Roldán: Split-Douglas–Rachford algorithm for composite monotone inclusions and Split-ADMM, SIAM J. Optim., Vol.31, pp. 2987-3013, 2021 https://doi.org/10.1137/21M1395144. preprint

1.- C. Molinari, J. Peypouquet, and F. Roldan: Alternating forward-backward splitting for linearly constrained optimization problems, Optim. Lett., Vol.14 , pp. 1071-1088, 2020. https://doi.org/10.1007/s11590-019-01388-y. preprint

Thesis

-Ph. D. in Applied Mathematics: Composite Monotone Inclusions in Vector Subspaces: Theory, Splitting, and Apliccations. Thesis

-Civil Engineering Mathematics: Compresión y corrección de imágenes mediante algoritmos de ondículas y optimización Thesis in spanish