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Semi-Riemannian Manifold Optimization

This repository contains MATLAB code accompanying the preprint Semi-Riemannian Manifold Optimization (arXiv:1812.07643) by Tingran Gao, Lek-Heng Lim, and Ke Ye.

To run these scripts, please ensure the ManOpt toolbox is in your path (e.g. by running command run manopt/importmanopt.m in the MATLAB console).

• sRiem_minkowski_SD_CG.m: Numerical experiments on Minkowski spaces
• sRiem_sphere_SD_CG.m: Numerical experiments on the unit Euclidean sphere viewed as a semi-Riemannian submanifold of an aambient Minkowski space
• sRiem_pseudosphere_SD_CG.m: Numerical experiments on the unit pseudo-sphere with canonical semi-Riemannian metric induced from the ambient Minkowski space

Please direct all inquiries to Tingran Gao (tingrangao@galton.uchicago.edu).