ROPTLIB

DOI10.1145/3218822zbMath1484.65142OpenAlexW2886739333WikidataQ113310074 ScholiaQ113310074MaRDI QIDQ4611314

Paul E. Hand, Wen Huang, Pierre-Antoine Absil, Kyle A. Gallivan

Publication date: 18 January 2019

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/3218822

zbMATH Keywords

symmetric positive definite matricesnon-convex optimizationRiemannian optimizationlow-rank matricesorthogonal constraintsJulia interfaceMatlab interface

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Packaged methods for numerical algorithms (65Y15) Software, source code, etc. for problems pertaining to operations research and mathematical programming (90-04) Numerical methods for mathematical programming, optimization and variational techniques (65Kxx)

Related Items (16)

Multiway \(p\)-spectral graph cuts on Grassmann manifolds ⋮ A limited-memory Riemannian symmetric rank-one trust-region method with a restart strategy ⋮ Multivariate expectile-based distribution: properties, Bayesian inference, and applications ⋮ Riemannian Hamiltonian Methods for Min-Max Optimization on Manifolds ⋮ Learning with symmetric positive definite matrices via generalized Bures-Wasserstein geometry ⋮ An image inpainting algorithm using exemplar matching and low-rank sparse prior ⋮ Solving PhaseLift by Low-Rank Riemannian Optimization Methods for Complex Semidefinite Constraints ⋮ A Riemannian BFGS Method Without Differentiated Retraction for Nonconvex Optimization Problems ⋮ An inexact Riemannian proximal gradient method ⋮ Tensor envelope mixture model for simultaneous clustering and multiway dimension reduction ⋮ Simple algorithms for optimization on Riemannian manifolds with constraints ⋮ ROPTLIB ⋮ Reconstruction of jointly sparse vectors via manifold optimization ⋮ Structured Quasi-Newton Methods for Optimization with Orthogonality Constraints ⋮ Blind Deconvolution by a Steepest Descent Algorithm on a Quotient Manifold ⋮ Sequential optimality conditions for nonlinear optimization on Riemannian manifolds and a globally convergent augmented Lagrangian method

Uses Software

• Matlab
• OPT++
• Decision tree for optimization software
• Pymanopt
• LORM
• GrassmannOptim
• ManifoldOptim

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