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math.OC2022
Augmented Newton Method for Optimization: Global Linear Rate and Momentum Interpretation
Md Sarowar Morshed
We propose two variants of Newton method for solving unconstrained minimization problem. Our method leverages optimization techniques such as penalty and augmented Lagrangian metho…
math.OC2020
Heavy Ball Momentum Induced Sampling Kaczmarz Motzkin Methods for Linear Feasibility Problems
Md Sarowar Morshed, Md. Noor-E-Alam
The recently proposed Sampling Kaczmarz Motzkin (SKM) algorithm performs well in comparison with the state-of-the-art methods in solving large-scale Linear Feasibility (LF) problem…
math.OC2018
Generalized Affine Scaling Algorithms for Linear Programming Problems
Md Sarowar Morshed, Md. Noor-E-Alam
Interior Point Methods are widely used to solve Linear Programming problems. In this work, we present two primal affine scaling algorithms to achieve faster convergence in solving…