Insight into Primal Augmented Lagrangian Multilplier Method

TL;DR

This paper simplifies the Primal Augmented Lagrangian Multiplier algorithm, clarifies its mathematical derivation, and demonstrates its effectiveness through reconstruction experiments.

Contribution

It provides a clearer, more accessible formulation of the algorithm and insights into its mathematical structure and application.

Findings

Successful reconstruction using the simplified algorithm

Enhanced understanding of the algorithm's steps

Potential for improved implementation efficiency

Abstract

We provide a simplified form of Primal Augmented Lagrange Multiplier algorithm. We intend to fill the gap in the steps involved in the mathematical derivations of the algorithm so that an insight into the algorithm is made. The experiment is focused to show the reconstruction done using this algorithm.