论文信息 - Toolbox for Grassmann Manifold Computations

Toolbox for Grassmann Manifold Computations

This a description and user guide for an object oriented toolbox written in matlab for computations defined on Grassmann manifolds and products of Grassmann manifolds. It implements basic operations as geodesic movement and parallel transport of tangent vectors. 1

Berkant Savas

[1] Alan Edelman,et al. The Geometry of Algorithms with Orthogonality Constraints , 1998, SIAM J. Matrix Anal. Appl..

[2] Robert E. Mahony,et al. Optimization Algorithms on Matrix Manifolds , 2007 .

[3] Berkant Savas,et al. Best multilinear rank approximation of tensors with quasi-Newton methods on Grassmannians , 2008 .

[4] Berkant Savas,et al. A Newton-Grassmann Method for Computing the Best Multilinear Rank-(r1, r2, r3) Approximation of a Tensor , 2009, SIAM J. Matrix Anal. Appl..