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Convergence analysis of the transformed gradient projection algorithms on compact matrix manifolds

Convergence analysis of the transformed gradient projection algorithms on compact matrix manifolds

In this paper, to address the optimization problem on a compact matrix manifold, we introduce a novel algorithmic framework called the Transformed Gradient Projection (TGP) algorithm, using the projection onto this compact matrix manifold. Compared with the existing algorithms, the key innovation in our approach lies in the utilization of …