Truncated low-rank methods for solving general linear matrix equations

Alternating Minimal Energy Methods for Linear Systems in Higher Dimensions

(2014) Sergey V. Dolgov et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A preconditioned low-rank CG method for parameter-dependent Lyapunov matrix equations

(2013) Daniel Kressner et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

Low rank methods for a class of generalized Lyapunov equations and related issues

(2013) Peter Benner et al.   NUMERISCHE MATHEMATIK

Balanced Averaging of Bilinear Systems with Applications to Stochastic Control

(2013) Carsten Hartmann et al.   SIAM JOURNAL ON CONTROL AND OPTIMIZATION

Interpolation-Based ${\cal H}_2$-Model Reduction of Bilinear Control Systems

(2012) Peter Benner et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

CONVERGENCE OF A GREEDY ALGORITHM FOR HIGH-DIMENSIONAL CONVEX NONLINEAR PROBLEMS

(2011) ERIC CANCÈS et al.   MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems

(2011) Peter Benner et al.   SIAM JOURNAL ON CONTROL AND OPTIMIZATION

Low-Rank Tensor Krylov Subspace Methods for Parametrized Linear Systems

(2011) Daniel Kressner et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Proper Generalized Decompositions and Separated Representations for the Numerical Solution of High Dimensional Stochastic Problems

(2010) Anthony Nouy   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

Recent Advances and New Challenges in the Use of the Proper Generalized Decomposition for Solving Multidimensional Models

(2010) Francisco Chinesta et al.   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

On the ADI method for Sylvester equations

(2009) Peter Benner et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Generalized spectral decomposition method for solving stochastic finite element equations: Invariant subspace problem and dedicated algorithms

(2008) Anthony Nouy   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Direct methods and ADI-preconditioned Krylov subspace methods for generalized Lyapunov equations

(2008) T. Damm   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS