Iterative solution of the Lyapunov matrix equation

Algorithm 841: BHESS: Gaussian reduction to a similar banded Hessenberg form

ACM Transactions on Mathematical Software (TOMS)

Multi-shift quadratic alternating direction implicit iteration for high-speed positive-real balanced truncation

Proceedings of the 43rd annual Design Automation Conference

Trail to a Lyapunov equation solver

Computers & Mathematics with Applications

On the ADI method for Sylvester equations

Journal of Computational and Applied Mathematics

Approximation of low rank solutions for linear quadratic control of partial differential equations

Computational Optimization and Applications

On the numerical solution of large-scale sparse discrete-time Riccati equations

Advances in Computational Mathematics

Analysis of the Rational Krylov Subspace and ADI Methods for Solving the Lyapunov Equation

SIAM Journal on Numerical Analysis

An efficient algorithm for solving general coupled matrix equations and its application

Mathematical and Computer Modelling: An International Journal

On the ADI method for the Sylvester equation and the optimal-H2 points

Applied Numerical Mathematics

Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method

Numerical Algorithms

On positive-definite and skew-Hermitian splitting iteration methods for continuous Sylvester equation AX+XB=C

Computers & Mathematics with Applications