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The Julia package OTSM.jl implements a few algorithms for the orthogonal trace sum maximization (OTSM) discussed in the following paper.
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Joong-Ho Won, Hua Zhou, and Kenneth Lange. (2021) Orthogonal trace-sum maximization: applications, local algorithms, and global optimality, SIAM Journal on Matrix Analysis and Applications, 42(2):859-882. BibTex
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Joong-Ho Won, Teng Zhang, and Hua Zhou. (2022) Orthogonal trace-sum maximization: tightness of the semidefinite relaxation and guarantee of locally optimal solutions. SIAM Journal of Optimization. arXiv
OTSM.jl supports Julia v1.0 or later. See documentation for usage. It is not yet registered and can be installed, in the Julia Pkg mode, by
(@v1.4) Pkg> add https://github.com/Hua-Zhou/OTSM.jl