DOI10.1137/090764566zbMath1221.65108OpenAlexW2037253724WikidataQ115247108 ScholiaQ115247108MaRDI QIDQ3079759
Bart Vandereycken, Stefan Vandewalle
Publication date: 2 March 2011
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/090764566
Iterative methods for the delay Lyapunov equation with T-Sylvester preconditioning,
\(\varepsilon\)-subgradient algorithms for locally Lipschitz functions on Riemannian manifolds,
Analysis of the Truncated Conjugate Gradient Method for Linear Matrix Equations,
From Low-Rank Approximation to a Rational Krylov Subspace Method for the Lyapunov Equation,
Computational Methods for Linear Matrix Equations,
Manifold Optimization-Assisted Gaussian Variational Approximation,
Model order reduction for linear and nonlinear systems: a system-theoretic perspective,
Automatic Differentiation for Riemannian Optimization on Low-Rank Matrix and Tensor-Train Manifolds,
The geometry of algorithms using hierarchical tensors,
Convergence Results for Projected Line-Search Methods on Varieties of Low-Rank Matrices Via Łojasiewicz Inequality,
Solving trust region subproblems using Riemannian optimization,
Improved GNN method with finite-time convergence for time-varying Lyapunov equation,
Riemannian Modified Polak--Ribière--Polyak Conjugate Gradient Order Reduced Model by Tensor Techniques,
A Riemannian Gradient Sampling Algorithm for Nonsmooth Optimization on Manifolds,
Lowest-rank solutions of continuous and discrete Lyapunov equations over symmetric cone,
On optimality of approximate low rank solutions of large-scale matrix equations,
Geometric Methods on Low-Rank Matrix and Tensor Manifolds,
On the convergence of Krylov methods with low-rank truncations,
Balanced Truncation Based on Generalized Multiscale Finite Element Method for the Parameter-Dependent Elliptic Problem,
Preconditioned Low-rank Riemannian Optimization for Linear Systems with Tensor Product Structure,
Residual-based iterations for the generalized Lyapunov equation,
Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations,
Riemannian Preconditioning,
Balancing based model reduction for structured index-2 unstable descriptor systems with application to flow control,
A computational framework of gradient flows for general linear matrix equations,
Unnamed Item,
A Gradient Sampling Method on Algebraic Varieties and Application to Nonsmooth Low-Rank Optimization,
Riemannian Multigrid Line Search for Low-Rank Problems,
Numerical solution of large and sparse continuous time algebraic matrix Riccati and Lyapunov equations: a state of the art survey,
A literature survey of low-rank tensor approximation techniques,
On the benefits of the \(L D L^T\) factorization for large-scale differential matrix equation solvers,
Riemannian optimization with a preconditioning scheme on the generalized Stiefel manifold,
Solving Parameter-Dependent Lyapunov Equations Using the Reduced Basis Method with Application to Parametric Model Order Reduction
