Cholesky QR-based retraction on the generalized Stiefel manifold

The Geometry of Algorithms with Orthogonality Constraints

Alan Edelman, T. A. Arias, Steven T. Smith · SIAM Journal on Matrix Analysis and Applications · 1998 · 2.7K citations

Natural Sciences, Computer Science, Mathematics +16

Manopt, a Matlab toolbox for optimization on manifolds

Nicolas Boumal, Bamdev Mishra, Pierre-Antoine Absil et al. · arXiv (Cornell University) · 2013 · 803 citations · Full text

Computing, Computer Science, Algorithms +16

Optimization algorithms exploiting unitary constraints

Jonathan H. Manton · IEEE Transactions on Signal Processing · 2002 · 474 citations

Natural Sciences, Computer Science, Mathematics +13

Optimization Methods on Riemannian Manifolds and Their Application to Shape Space

Wolfgang Ring, Benedikt Wirth · SIAM Journal on Optimization · 2012 · 314 citations

Natural Sciences, Computer Science, Computational Geometry +12

Projection-like Retractions on Matrix Manifolds

P.-A. Absil, Jérôme Malick · SIAM Journal on Optimization · 2012 · 302 citations

Computing, Computer Science, Mathematics +6