Krylov methods for low-rank commuting generalized Sylvester equations

Computationally enhanced projection methods for symmetric Sylvester and Lyapunov matrix equations

(2018) Davide Palitta et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Sylvester-based preconditioning for the waveguide eigenvalue problem

(2018) Emil Ringh et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

On the Singular Values of Matrices with Displacement Structure

(2017) Bernhard Beckermann et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

An Efficient Reduced Basis Solver for Stochastic Galerkin Matrix Equations

(2017) C. E. Powell et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Preconditioned Low-rank Riemannian Optimization for Linear Systems with Tensor Product Structure

(2016) Daniel Kressner et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Computational Methods for Linear Matrix Equations

(2016) V. Simoncini   SIAM REVIEW

Matrix-equation-based strategies for convection–diffusion equations

(2015) Davide Palitta et al.   BIT NUMERICAL MATHEMATICS

Truncated low-rank methods for solving general linear matrix equations

(2015) Daniel Kressner et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

Efficient low-rank solution of generalized Lyapunov equations

(2015) Stephen D. Shank et al.   NUMERISCHE MATHEMATIK

Fast Singular Value Decay for Lyapunov Solutions with Nonnormal Coefficients

(2015) Jonathan Baker et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Multipoint Volterra Series Interpolation and $\mathcal{H}_2$ Optimal Model Reduction of Bilinear Systems

(2015) Garret Flagg et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Computing real low-rank solutions of Sylvester equations by the factored ADI method

(2014) Peter Benner et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

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

(2013) Peter Benner et al.   NUMERISCHE MATHEMATIK

A projection method to solve linear systems in tensor format

(2012) Jonas Ballani et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

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

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

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

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

Adaptive rational Krylov subspaces for large-scale dynamical systems

(2011) V. Druskin et al.   SYSTEMS & CONTROL LETTERS

The ratio field of values

(2010) Eduard Einstein et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

A Riemannian Optimization Approach for Computing Low-Rank Solutions of Lyapunov Equations

(2010) Bart Vandereycken et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Krylov Subspace Methods for Linear Systems with Tensor Product Structure

(2010) Daniel Kressner et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Order reduction of bilinear MIMO dynamical systems using new block Krylov subspaces

(2009) Yiqin Lin et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

On the ADI method for Sylvester equations

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

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

(2008) T. Damm   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

Low rank solution of data-sparse Sylvester equations

(2008) U. Baur   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS