Efficient solution of large-scale algebraic Riccati equations associated with index-2 DAEs via the inexact low-rank Newton-ADI method

[1]  M. Voigt,et al.  Model reduction of constrained mechanical systems in M-M.E.S.S. , 2018 .

[2]  Peter Benner,et al.  An inexact low-rank Newton-ADI method for large-scale algebraic Riccati equations , 2016 .

[3]  Mohammad Monir Uddin,et al.  Structure preserving model order reduction of large sparse second-order index-1 systems and application to a mechatronics model , 2016 .

[4]  H. Weichelt Numerical Aspects of Flow Stabilization by Riccati Feedback , 2016 .

[5]  Patrick Kürschner,et al.  Efficient Low-Rank Solution of Large-Scale Matrix Equations , 2016 .

[6]  Valeria Simoncini,et al.  Analysis of the Rational Krylov Subspace Projection Method for Large-Scale Algebraic Riccati Equations , 2016, SIAM J. Matrix Anal. Appl..

[7]  Peter Benner,et al.  Riccati-based boundary feedback stabilization of incompressible Navier-Stokes flow , 2013 .

[8]  Valeria Simoncini,et al.  On two numerical methods for the solution of large-scale algebraic Riccati equations , 2014 .

[9]  Peter Benner,et al.  Numerical Solution of Projected Algebraic Riccati Equations , 2014, SIAM J. Numer. Anal..

[10]  Peter Benner,et al.  Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester Equations , 2014 .

[11]  P. Benner,et al.  Optimal Control-Based Feedback Stabilization of Multi-field Flow Problems , 2014 .

[12]  Peter Benner,et al.  A Reformulated Low‐Rank ADI Iteration with Explicit Residual Factors , 2013 .

[13]  Serkan Gugercin,et al.  Model Reduction of Descriptor Systems by Interpolatory Projection Methods , 2013, SIAM J. Sci. Comput..

[14]  Günter Leugering,et al.  Constrained Optimization and Optimal Control for Partial Differential Equations , 2012, International series of numerical mathematics.

[15]  Peter Benner,et al.  Stabilization of Incompressible Flow Problems by Riccati-based Feedback , 2012, Constrained Optimization and Optimal Control for Partial Differential Equations.

[16]  Jean-Pierre Raymond,et al.  HINFINITY Feedback Boundary Stabilization of the Two-Dimensional Navier-Stokes Equations , 2011, SIAM J. Control. Optim..

[17]  Ekkehard W. Sachs,et al.  Inexact Kleinman-Newton Method for Riccati Equations , 2009, SIAM J. Matrix Anal. Appl..

[18]  Peter Benner,et al.  Numerical solution of large‐scale Lyapunov equations, Riccati equations, and linear‐quadratic optimal control problems , 2008, Numer. Linear Algebra Appl..

[19]  N. Martins,et al.  Gramian-Based Reduction Method Applied to Large Sparse Power System Descriptor Models , 2008, IEEE Transactions on Power Systems.

[20]  Danny C. Sorensen,et al.  Balanced Truncation Model Reduction for a Class of Descriptor Systems with Application to the Oseen Equations , 2008, SIAM J. Sci. Comput..

[21]  Jean-Pierre Raymond,et al.  Feedback Boundary Stabilization of the Two-Dimensional Navier--Stokes Equations , 2006, SIAM J. Control. Optim..

[22]  Jacob K. White,et al.  Low-Rank Solution of Lyapunov Equations , 2004, SIAM Rev..

[23]  R. Schneider,et al.  Sonderforschungsbereich 393 Numerische Simulation auf massiv parallelen Rechnern , 2002 .

[24]  Thilo Penzl Eigenvalue decay bounds for solutions of Lyapunov equations: the symmetric case , 2000 .

[25]  E B Ansch,et al.  Simulation of Instationary, Incompressible Flows , 1998 .

[26]  Peter Benner,et al.  An exact line search method for solving generalized continuous-time algebraic Riccati equations , 1998, IEEE Trans. Autom. Control..

[27]  R. F. Boisvert,et al.  The Matrix Market Exchange Formats: Initial Design | NIST , 1996 .

[28]  Leiba Rodman,et al.  Algebraic Riccati equations , 1995 .

[29]  D. Kleinman On an iterative technique for Riccati equation computations , 1968 .