GenRTR: the Generic Riemannian Trust-region package. GenRTR is the Generic Riemannian Trust-Region package. GenRTR is a MATLAB package for the optimization of functions defined on Riemannian manifolds. GenRTR currently provides two Riemannian trust-region methods: the Riemannian Trust-Region (RTR) method; the Implicit Riemannian Trust-Region (IRTR) method. While the current emphasis concerns trust-region methods, the framework is suitable for the implementation of any retraction-based optimization method. Future plans involve the expansion of the framework to other optimization methods.

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  1. Mishra, Bamdev; Meyer, Gilles; Bonnabel, Silvère; Sepulchre, Rodolphe: Fixed-rank matrix factorizations and Riemannian low-rank optimization (2014)