readme.md

ARNT beta 1.0

A MATLAB software for solving optimization problems on manifold.

Problems and solvers

• The package contains codes for optimization problems on manifold:
  ​ min f(x) s.t. x in M, where M is Riemannian manifold.

• The manifold structure of ARNT is taken from the Manopt package. Further information can be found on the website www.manopt.org. We thank the authors for kindly sharing their codes. Their specific licenses should be considered before modifying and/or redistributing them.

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References

• Jiang Hu, Andre Milzarek, Zaiwen Wen, Yaxiang Yuan. Adaptive Regularized Newton Method for Riemannian Optimization. arXiv:1708.02016

• Zaiwen Wen and Wotao Yin. A feasible method for optimization with orthogonality constraints. Mathematical Programming (2013): 397-434.

• Zaiwen Wen, Andre Milzarek, Michael Ulbrich and Hongchao Zhang, Adaptive regularized self-consistent field iteration with exact Hessian for electronic structure calculation. SIAM Journal on Scientific Computing (2013), A1299-A1324.

• Xinming Wu, Zaiwen Wen, and Weizhu Bao. A regularized Newton method for computing ground states of Bose–Einstein condensates. Journal of Scientific Computing (2017): 303-329.

• Nicolas Boumal , Bamdev Mishra, P.-A. Absil and Rodolphe Sepulchre. Manopt, a Matlab Toolbox for Optimization on Manifolds. Journal of Machine Learning Research (2014) 1455-1459

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The Authors

We hope that the package is useful for your application. If you have any bug reports or comments, please feel free to email one of the toolbox authors:

• Jiang Hu, jianghu at pku.edu.cn
• Zaiwen Wen, wenzw at pku.edu.cn

Installation

>> startup

>> cd example

>> test_ncm

Copyright

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Copyright (C) 2017, Jiang Hu, Zaiwen Wen

This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with this program. If not, see http://www.gnu.org/licenses/