Biography
I completed my PhD on Optimisation at Federal University of Goias, Brazil in 2015. In 2011 I commenced my Master degree at IMPA, Rio de Janeiro, Brazil. In 2005, I complete my Bachelor in Mathematics, at University of Havana, Cuba.
Read more on Reinier's profileResearch interests
Optimisation, Convex Analysis, Generalised convexity, Geometry of convex sets in general vector spaces.
Teaching interests
Discrete math, Complex analysis, Real Analysis, Optimisation
Knowledge areas
Optimisation, Convex Analysis
Publications
Approximate Douglas-Rachford algorithm for two-sets convex feasibility problems
R Díaz Millán, O Ferreira, J Ugon
(2023), Vol. 86, pp. 621-636, Journal of Global Optimization, C1
The Intrinsic Core and Minimal Faces of Convex Sets in General Vector Spaces
Reinier Diaz Millan, V Roshchina
(2023), Vol. 31, pp. 1-27, Set-Valued and Variational Analysis, Berlin, Germany, C1
Applications and issues in abstract convexity
R Diaz Millan, N Sukhorukova, J Ugon
(2023), Vol. 2023, pp. 1-16, Communications in Optimization Theory, London, Eng., C1
An Algorithm for Best Generalised Rational Approximation of Continuous Functions
R Millán, N Sukhorukova, J Ugon
(2022), Set-Valued and Variational Analysis, Berlin, Germany, C1
Multivariate approximation by polynomial and generalized rational functions
R Díaz Millán, V Peiris, N Sukhorukova, J Ugon
(2022), Vol. 71, pp. 1171-1187, Optimization, London, Eng., C1
Alternating conditional gradient method for convex feasibility problems
R Díaz Millán, O Ferreira, L Prudente
(2021), Vol. 80, pp. 245-269, Computational Optimization and Applications, C1
A Projection Algorithm for Non-Monotone Variational Inequalities
R Burachik, R Millán
(2020), Vol. 28, pp. 149-166, Set-Valued and Variational Analysis, C1-1
Comparing Averaged Relaxed Cutters and Projection Methods: Theory and Examples
Reinier Diaz Millan, S Lindstrom, V Roshchina
(2020), Vol. 313, pp. 75-98, JBCC 2017 : From Analysis to Visualization A Celebration of the Life and Legacy of Jonathan M. Borwein, Callaghan, Australia, September 2017, Newcastle, N.S.W., E1-1
Inexact proximal ϵ -subgradient methods for composite convex optimization problems
R Millán, M Machado
(2019), Vol. 75, pp. 1029-1060, Journal of Global Optimization, C1-1
CONDITIONAL EXTRAGRADIENT ALGORITHMS FOR SOLVING VARIATIONAL INEQUALITIES
J Bello-Cruz, R Millan, Hung Phan
(2019), Vol. 15, pp. 331-357, PACIFIC JOURNAL OF OPTIMIZATION, C1-1
Two algorithms for solving systems of inclusion problems
R Diaz Millan
(2018), Vol. 78, pp. 1111-1127, Numerical algorithms, New York, N.Y., C1-1
Characterization of orthogonal polynomials- a new proof of Bochner's theorem
Reinier Diaz Millan, Aviv Gibali
(2017), Vol. 699, pp. 87-101, Complex Analysis and Dynamical Systems VII : Proceedings of the Seventh International Conference on Complex Analysis and Dynamical Systems 2015, Nahariya, Israel, E1-1
A relaxed-projection splitting algorithm for variational inequalities in Hilbert spaces
J Bello Cruz, R Diaz Millan
(2016), Vol. 65, pp. 597-614, Journal of global optimization, New York, N.Y., C1-1
J Bello Cruz, R Diaz Millan
(2015), Vol. 64, pp. 1471-1486, Optimization, Abingdon, Eng., C1-1
A direct splitting method for nonsmooth variational inequalities
J Bello Cruz, R Diaz Millan
(2014), Vol. 161, pp. 728-737, Journal of optimization theory and applications, New York, N.Y., C1-1
Funded Projects at Deakin
No Funded Projects at Deakin found
Supervisions
No completed student supervisions to report