Hermite interpolation with retractions on manifolds

Programming in abstract spaces (90C48) Numerical interpolation (65D05) Numerical linear algebra (65F99) Numerical methods for low-rank matrix approximation; matrix compression (65F55) Applications of differential geometry to engineering (53Z30)

Cites Work

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Low-rank retractions: a survey and new results
A modified Casteljau algorithm to solve interpolation problems on Stiefel manifolds
The De Casteljau algorithm on Lie groups and spheres
The cubic de Casteljau construction and Riemannian cubics
An unconventional robust integrator for dynamical low-rank approximation
Low-rank multi-parametric covariance identification
Two Newton methods on the manifold of fixed-rank matrices endowed with Riemannian quotient geometries
A Riemannian symmetric rank-one trust-region method
De Casteljau's algorithm on manifolds
Bézier curves and \(C^{2}\) interpolation in Riemannian manifolds
Low-rank matrix completion by Riemannian optimization
Projection-like Retractions on Matrix Manifolds
Optimization Methods on Riemannian Manifolds and Their Application to Shape Space
Manopt, a Matlab toolbox for optimization on manifolds
Geometric Methods on Low-Rank Matrix and Tensor Manifolds
A New Geometric Algorithm to Generate Smooth Interpolating Curves on Riemannian Manifolds
The Geometry of Algorithms with Orthogonality Constraints
On Smooth Decompositions of Matrices
Introduction to Riemannian Manifolds
Empirical Arithmetic Averaging Over the Compact Stiefel Manifold
Splines of class C^k on non-euclidean spaces
Dynamic interpolation for obstacle avoidance on Riemannian manifolds
An Introduction to Optimization on Smooth Manifolds
Continuation Methods for Riemannian Optimization
Smoothing Splines on Riemannian Manifolds, with Applications to 3D Shape Space
Hermite Interpolation and Data Processing Errors on Riemannian Matrix Manifolds
A Matrix-Algebraic Algorithm for the Riemannian Logarithm on the Stiefel Manifold under the Canonical Metric
Dynamical Low‐Rank Approximation
On the Stability of Robust Dynamical Low-Rank Approximations for Hyperbolic Problems
Riemannian geometry

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