Riemannian Modified Polak--Ribière--Polyak Conjugate Gradient Order Reduced Model by Tensor Techniques
From MaRDI portal
Publication:5112237
DOI10.1137/19M1257147zbMath1441.93045WikidataQ115246918 ScholiaQ115246918MaRDI QIDQ5112237
Publication date: 28 May 2020
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
System structure simplification (93B11) Control/observation systems governed by ordinary differential equations (93C15) Methods of local Riemannian geometry (53B21)
Related Items
Riemannian optimization approach to structure-preserving model order reduction of integral-differential systems on the product of two Stiefel manifolds ⋮ Optimizing Oblique Projections for Nonlinear Systems using Trajectories ⋮ Time domain model order reduction of discrete-time bilinear systems with Charlier polynomials ⋮ Parallel model order reduction methods based on structured matrix analysis for discrete-time systems with parametric uncertainty ⋮ Reduced-order state-space models for two-dimensional discrete systems via bivariate discrete orthogonal polynomials ⋮ Parallel model order reduction based on block discrete Fourier transform and Krylov subspace for parametric systems ⋮ Model reduction of discrete time-delay systems based on Charlier polynomials and high-order Krylov subspaces ⋮ Two‐sided Krylov enhanced proper orthogonal decomposition methods for partial differential equations with variable coefficients ⋮ Reduced-order modeling methods via bivariate discrete orthogonal polynomials for two-dimensional discrete state-delayed systems ⋮ Time domain and frequency domain model order reduction for discrete time-delay systems ⋮ Parametric model order reduction based on parallel tensor compression
Cites Work
- Unnamed Item
- Unnamed Item
- Tensor Decompositions and Applications
- Krylov subspace methods for model order reduction of bilinear control systems
- \(\mathcal H_2\)-optimal model reduction of MIMO systems
- On \(H_2\) model reduction of bilinear systems
- A trust-region method for \(H_2\) model reduction of bilinear systems on the Stiefel manifold
- A rational Lanczos algorithm for model reduction
- On the ADI method for the Sylvester equation and the optimal-\({\mathcal H}_{2}\) points
- Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19--25, 2003.
- A projection method for model reduction of bilinear dynamical systems
- \(H_2\) optimal reduced models of general MIMO LTI systems via the cross Gramian on the Stiefel manifold
- Résolution d'EDP par un schéma en temps «pararéel »
- Nonlinearly Preconditioned Optimization on Grassmann Manifolds for Computing Approximate Tucker Tensor Decompositions
- Two-sided Grassmann manifold algorithm for optimal ℋ2 model reduction
- Best Low Multilinear Rank Approximation of Higher-Order Tensors, Based on the Riemannian Trust-Region Scheme
- A Riemannian Optimization Approach for Computing Low-Rank Solutions of Lyapunov Equations
- Balanced Realization and Model Order Reduction for Nonlinear Systems Based on Singular Value Analysis
- Computational Methods for Linear Matrix Equations
- A descent modified Polak–Ribière–Polyak conjugate gradient method and its global convergence
- A Newton–Grassmann Method for Computing the Best Multilinear Rank-$(r_1,$ $r_2,$ $r_3)$ Approximation of a Tensor
- $\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
- A method for interpolating on manifolds structural dynamics reduced-order models
- An approximate approach to H/sup 2/ optimal model reduction
- 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
- $\mathcal H_2$-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems
- A Riemannian BFGS Method Without Differentiated Retraction for Nonconvex Optimization Problems
- A Superlinear Convergence Estimate for the Parareal Schwarz Waveform Relaxation Algorithm
- Quasi-Newton Methods on Grassmannians and Multilinear Approximations of Tensors
- A new, globally convergent Riemannian conjugate gradient method
- Multipoint Volterra Series Interpolation and $\mathcal{H}_2$ Optimal Model Reduction of Bilinear Systems
- Two-Sided Projection Methods for Nonlinear Model Order Reduction
- A Riemannian Newton Algorithm for Nonlinear Eigenvalue Problems
- On the Uniqueness and Perturbation to the Best Rank-One Approximation of a Tensor
- A Geometric Approach to Low-Rank Matrix Completion
