Riemannian Optimization:

• Trust region methods for optimization on Riemannian manifolds


• The ROPTLIB library of line search methods, methods for large-scale Line search methods and methods for large-scale optimization problems on Riemannian manifolds with applications.


• The MANOPT library for optimization on Riemannian manifolds with applications

Selected Riemannian Optimization Dissertations:

• Christopher Baker, Ph.D. (Florida State University, Computational Science)-- Riemannian Manifold Trust-Region Methods with Applications to Eigenproblems


• W. Huang, Ph.D. (Florida State University, Department of Mathematics)-- Optimization Algorithms on Riemannian Manifolds with Applications


• Melissa Marchand, Ph.D. (Florida State University, Department of Mathematics)-- Low-rank Riemannian Optimization Approach to the Role Extraction Problem


• Chunhong Qi, Ph.D. (Florida State University, Department of Mathematics)-- Numerical Optimization Algorithms on Riemannian Manifolds


• Y. You, Ph.D. (Florida State University, Department of Mathematics)-- A Riemannian Approach for Computing Geodesics in Elastic Shape Space and Its Applications


• X. Yuan, Ph.D. (Florida State University, Department of Mathematics)-- Riemannian Optimization Methods for Averaging Symmetric Positive Definite Matrices


• Guifang Zhou, Ph.D. (Florida State University, Department of Mathematics)-- Rank-constrained Optimization: A Riemannian Manifold Approach