An efficient algorithm for solving a class of matrix optimization problem in scalable probabilistic approximation

Cites Work

A feasible method for optimization with orthogonality constraints
A Dai-Yuan-type Riemannian conjugate gradient method with the weak Wolfe conditions
A nonmonotone conjugate gradient algorithm for unconstrained optimization
A Riemannian inexact Newton-CG method for constructing a nonnegative matrix with prescribed realizable spectrum
Riemannian optimal model reduction of linear port-Hamiltonian systems
A Riemannian conjugate gradient method for optimization on the Stiefel manifold
Hybrid Riemannian conjugate gradient methods with global convergence properties
Newton's method for the parameterized generalized eigenvalue problem with nonsquare matrix pencils
Global convergence of Riemannian line search methods with a Zhang-Hager-type condition
A Riemannian under-determined BFGS method for least squares inverse eigenvalue problems
A Riemannian optimization approach for solving the generalized eigenvalue problem for nonsquare matrix pencils
A geometric Gauss-Newton method for least squares inverse eigenvalue problems
A brief introduction to manifold optimization
Riemannian inexact Newton method for structured inverse eigenvalue and singular value problems
Global convergence of a modified Fletcher-Reeves conjugate gradient method with Armijo-type line search
A Riemannian Fletcher--Reeves Conjugate Gradient Method for Doubly Stochastic Inverse Eigenvalue Problems
Manopt, a Matlab toolbox for optimization on manifolds
Best Low Multilinear Rank Approximation of Higher-Order Tensors, Based on the Riemannian Trust-Region Scheme
Joint singular value decomposition algorithm based on the Riemannian trust-region method
A descent modified Polak–Ribière–Polyak conjugate gradient method and its global convergence
The Geometry of Algorithms with Orthogonality Constraints
Numerical Optimization
Riemannian Optimal Control and Model Matching of Linear Port-Hamiltonian Systems
Structure-Preserving $H^2$ Optimal Model Reduction Based on the Riemannian Trust-Region Method
ROPTLIB
A Nonmonotone Line Search Technique and Its Application to Unconstrained Optimization
A Nonmonotone Line Search Technique for Newton’s Method
A trust‐region method for the parameterized generalized eigenvalue problem with nonsquare matrix pencils
Riemannian Modified Polak--Ribière--Polyak Conjugate Gradient Order Reduced Model by Tensor Techniques
Riemannian Newton-CG methods for constructing a positive doubly stochastic matrix from spectral data*
Riemannian Optimization and Its Applications
A new, globally convergent Riemannian conjugate gradient method
A Riemannian Optimization Approach to the Matrix Singular Value Decomposition
An Extrinsic Look at the Riemannian Hessian
A Geometric Nonlinear Conjugate Gradient Method for Stochastic Inverse Eigenvalue Problems
Benchmarking optimization software with performance profiles.

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