activity
20162023
most citedClosed-form geodesics and trust-region method to calculate Riemannian logarithms on Stiefel and its quotient manifolds

8 citations · 12 across the 10 of their papers we have counts for

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Showing 2020Show all

2 papers · 1 filter

math.OC2020

Riemannian gradient and Levi-Civita connection for fixed-rank matrices

Du Nguyen

We provide formulas for Riemannian gradient and Levi-Civita connection for a family of metrics on fixed-rank matrix manifolds, based on nonconstant metrics on Stiefel manifolds.

math.OC2020★ 1 cited

Operator-valued formulas for Riemannian Gradient and Hessian and families of tractable metrics

Du Nguyen

We provide an explicit formula for the Levi-Civita connection and Riemannian Hessian for a Riemannian manifold that is a quotient of a manifold embedded in an inner product space w…