Using \(LDL^\mathrm{T}\) factorizations in Newton's method for solving general large-scale algebraic Riccati equations

Numerical computation of solutions to systems of equations (65H10) Matrix equations and identities (15A24) Numerical methods for low-rank matrix approximation; matrix compression (65F55) Numerical methods for matrix equations (65F45)

Cites Work

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RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations
An inexact low-rank Newton-ADI method for large-scale algebraic Riccati equations
Low-rank iterative methods for projected generalized Lyapunov equations
An extended block Arnoldi algorithm for large-scale solutions of the continuous-time algebraic Riccati equation
On the solution of large-scale algebraic Riccati equations by using low-dimensional invariant subspaces
A multishift algorithm for the numerical solution of algebraic Riccati equations
A structure-preserving doubling algorithm for continuous-time algebraic Riccati equations
Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method
Frequency- and time-limited balanced truncation for large-scale second-order systems
Robust output-feedback stabilization for incompressible flows using low-dimensional \(\mathcal{H}_{\infty}\)-controllers
A factored variant of the Newton iteration for the solution of algebraic Riccati equations via the matrix sign function
Inheritance properties of Krylov subspace methods for continuous-time algebraic Riccati equations
Self-generating and efficient shift parameters in ADI methods for large Lyapunov and Sylvester equations
A low-rank solution method for Riccati equations with indefinite quadratic terms
Analysis of the rational Krylov subspace projection method for large-scale algebraic Riccati equations
Numerical solution of large and sparse continuous time algebraic matrix Riccati and Lyapunov equations: a state of the art survey
A new subspace iteration method for the algebraic Riccati equation
A new set of invariants for linear systems--Application to reduced order compensator design
Inexact Kleinman–Newton Method for Riccati Equations
Numerical solution of large‐scale Lyapunov equations, Riccati equations, and linear‐quadratic optimal control problems
A contraction mapping preserving balanced reduction scheme and its infinity norm error bounds
A relative error bound for balanced stochastic truncation
Doubling algorithm for continuous-time algebraic Riccati equation
A Schur method for solving algebraic Riccati equations
Linear model reduction and solution of the algebraic Riccati equation by use of the sign function†
An exact line search method for solving generalized continuous-time algebraic Riccati equations
On Newton's method for Riccati equation solution
Model Order Reduction for Differential-Algebraic Equations: A Survey
Singular Value Decay of Operator-Valued Differential Lyapunov and Riccati Equations
Low Rank Solution of Lyapunov Equations
Computing the Positive Stabilizing Solution to Algebraic Riccati Equations With an Indefinite Quadratic Term via a Recursive Method
Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1—Philosophy, Features, and Application for (Parametric) Model Order Reduction
MORLAB—The Model Order Reduction LABoratory
A Numerical Comparison of Different Solvers for Large-Scale, Continuous-Time Algebraic Riccati Equations and LQR Problems
An Efficient Method for Estimating the Optimal Dampers' Viscosity for Linear Vibrating Systems Using Lyapunov Equation
Riccati-based Boundary Feedback Stabilization of Incompressible Navier--Stokes Flows
On Some Norms for Descriptor Systems
Linear Quadratic Differential Games: Saddle Point and Riccati Differential Equation
Numerical Solution of Projected Algebraic Riccati Equations
On a family of low-rank algorithms for large-scale algebraic Riccati equations

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