Fernando Roldán - Research

Pre-prints

1. J.J. Maulén, F. Roldán, C. Vega. Relaxed and inertial nonlinear Forward-Backward algorithm. preprint

2. L. Briceño-Arias, F. Roldán. Optimal Leveraging of Smoothness and Strong Convexity for Peaceman--Rachford Splitting. preprint

3. R. T. Marcavillaca, F. Roldán. Inexact Warped Resolvent Iterations. preprint

4. F. Muñoz-García, F. Roldán. Forward-Reflected-Backward Algorithm with Linesearch. preprint

5. J.-C. Pesquet, F. Roldán. Nonlinear Forward-Backward Algorithm for Solving Non-monotone+Lipschitz Inclusions with Applications to Adjoint Mismatch Problems. preprint

Journal Papers

10. F. Roldán, C. Vega. Relaxed and Inertial Nonlinear Forward-Backward with Momentum. J. Optim. Theory Appl., vol. 206, 23, 2025. https://doi.org/10.1007/s10957-025-02694-5. preprint MATLAB code

9. F. Roldán. Forward Primal-Dual Half-Forward Algorithm for Splitting Four Operators. J. Optim. Theory Appl., vol. 204, 11, 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

Projects

(2025-2027) FONDECYT Iniciación 11250164: Splitting Algorithms for Solving Composite Monotone Inclusions with Applications to Adjoint Mismatch Problems

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