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Alternating Direction Augmented Lagrangian Methods for Semidefinite Programming
We present an alternating direction method based on an augmented Lagrangian framework for solving semidefinite programming (SDP) problems in standard form. At each iteration, the algorithm, also known as a two-splitting ...
A Curvilinear Search Method for p-Harmonic Flows on Spheres
The problem of finding p-harmonic flows arises in a wide range of applications including micromagnetics, liquid crystal theory, directional diffusion, and chromaticity denoising. In this paper, we propose an innovative ...