5 papers
Two Adaptive Accelerated Golden Ratio Primal--Dual Algorithms With an Application to Poisson Imaging Problem
Santanu Soe, V. Vetrivel
This paper revisits the adaptive extended golden-ratio primal--dual algorithm (aEGRPDA) proposed by Soe et al. (2026) for structured convex optimisation problems involving a differ…
The Golden Ratio Proximal ADMM with Norm Independent Step-Sizes for Separable Convex Optimization
Santanu Soe, V. Vetrivel
In this work, we propose two step-size strategies for the Golden ratio proximal ADMM (GrpADMM) to solve linearly constrained separable convex optimization problems. Both strategies…
On Generalized Forward-Reflected-Backward Method for Monotone Inclusion Problems
Santanu Soe, V. Vetrivel, Jen-Chih Yao
We study the generalized forward-reflected-backward (GFRB) method, an extension of the forward-reflected-backward (FRB) scheme due to Malitsky and Tam, for solving monotone inclusi…
The Golden Ratio Primal-Dual Algorithm with Two New Stepsize Rules for Convex-Concave Saddle Point Problems
Santanu Soe, Matthew K. Tam, V. Vetrivel
In this paper, we present two stepsize strategies for the extended Golden Ratio primal-dual algorithm (E-GRPDA) designed to address structured convex optimization problems in finit…
Weak convergence of projection algorithm with momentum terms and new step size rule for quasimonotone variational inequalities
Gourav Kumar, Santanu Soe, V. Vetrivel
This article analyses the simple projection method proposed by Izuchukwu et al. [8, Algorithm 3.2] for solving variational inequality problems by incorporating momentum terms. A ne…