Cholesky QR-based retraction on the generalized Stiefel manifold

DOI10.1007/s10589-018-0046-7zbMath1414.90331OpenAlexW2901030372MaRDI QIDQ2419507

Kensuke Aihara, Hiroyuki Sato

Publication date: 13 June 2019

Published in: Computational Optimization and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10589-018-0046-7

zbMATH Keywords

retractionRiemannian optimizationgeneralized Stiefel manifoldCholesky QR factorization

Mathematics Subject Classification ID

Related Items (6)

Energy-adaptive Riemannian optimization on the Stiefel manifold ⋮ Riemannian Conjugate Gradient Methods: General Framework and Specific Algorithms with Convergence Analyses ⋮ Sequential Quadratic Optimization for Nonlinear Optimization Problems on Riemannian Manifolds ⋮ Variational Bayes on manifolds ⋮ Riemannian optimization with a preconditioning scheme on the generalized Stiefel manifold ⋮ Sequential optimality conditions for nonlinear optimization on Riemannian manifolds and a globally convergent augmented Lagrangian method

Uses Software

• Manopt

Cites Work

• Unnamed Item
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• Non-Convex Phase Retrieval From STFT Measurements
• Global rates of convergence for nonconvex optimization on manifolds
• A Riemannian Optimization Approach to the Matrix Singular Value Decomposition
• Optimization algorithms exploiting unitary constraints

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