High-Order Retractions on Matrix Manifolds Using Projected Polynomials

DOI10.1137/17M1130459zbMath1391.65105arXiv1705.05554OpenAlexW2963661576MaRDI QIDQ4643331

Melvin Leok, Evan S. Gawlik

Publication date: 24 May 2018

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.05554

zbMATH Keywords

Stiefel manifoldretractionunitary groupgeometric meangeodesicGrassmannianpolar decompositionmatrix exponentialKarcher meanRiemannian exponentialmatrix manifold

Mathematics Subject Classification ID

Related Items (3)

Embedding-Based Interpolation on the Special Orthogonal Group ⋮ Cayley-transform-based gradient and conjugate gradient algorithms on Grassmann manifolds ⋮ On matrix exponentials and their approximations related to optimization on the Stiefel manifold

Uses Software

• NCAlgebra
• mftoolbox

Cites Work

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