Publications of Peter Benner

Baur, U.; Benner, P.: Modellreduktion für parametrisierte Systeme durch balanciertes Abschneiden und Interpolation (Model Reduction for Parametric Systems Using Balanced Truncation and Interpolation). at - Automatisierungstechnik 57 (8), pp. 411 - 419 (2009)

Benner, P.; Li, R.-C.; Truhar, N.: On the ADI Method for Sylvester Equations. Journal of Computational and Applied Mathematics 233 (4), pp. 1035 - 1045 (2009)

Baur, U.; Benner, P.: Cross-Gramian Based Model Reduction for Data-Sparse Systems. Electronic Transactions on Numerical Analysis 31, pp. 256 - 270 (2008)

Baur, U.; Benner, P.: Gramian-Based Model Reduction for Data-Sparse Systems. SIAM Journal on Scientific Computing 31 (1), pp. 776 - 798 (2008)

Benner, P.; Faßbender, H.; Stoll, M.: Solving Large-Scale Quadratic Eigenvalue Problems with Hamiltonian Eigenstructure using a Structure-Preserving Krylov Subspace Method. Electronic Transactions on Numerical Analysis 29, pp. 212 - 229 (2008)

Benner, P.; Li, R.-J.; Penzl, T.: Numerical Solution of Large Lyapunov Equations, Riccati Equations, and Linear-Quadratic Control Problems. Numerical Linear Algebra with Applications 15 (9), pp. 755 - 777 (2008)

Benner, P.; Mena, H.; Saak, J.: On the Parameter Selection Problem in the Newton-ADI Iteration for Large-Scale Riccati Equations. Electronic Transactions on Numerical Analysis 29, pp. 136 - 149 (2008)

Benner, P.; Quintana-Ortí, E. S.; Quintana-Ortí, G.: Solving Linear-Quadratic Optimal Control Problems on Parallel Computers. Optimization Methods and Software 23 (6), pp. 879 - 909 (2008)

Barrachina, S.; Benner, P.; Quintana-Ortí, E. S.: Parallel Solution of Large-Scale Algebraic Bernoulli Equations with the Matrix Sign Function Method. Numerical Algorithms 46 (4), pp. 351 - 368 (2007)

Benner, P.; Byers, R.; Mehrmann, V.; Xu, H.: A Robust Numerical Method for the γ-Iteration in H_∞ Control. Linear Algebra and its Applications 425 (2-3), pp. 548 - 570 (2007)

Benner, P.; Castillo, M.; Mayo, R.; Quintana-Ortí, E. S.; Quintana-Ortí, G.: Stabilizing Large-Scale Generalized Systems on Parallel Computers Using Multithreading and Message-Passing. Concurrency and Computation: Practice and Experience 19 (4), pp. 531 - 542 (2007)

Benner, P.; Faßbender, H.: On the Solution of the Rational Matrix Equation. EURASIP Journal on Advances in Signal Processing, p. 021850 (2007)

Slowik, M.; Benner, P.; Sima, V.: Evaluation of the Linear Matrix Equation Solvers in SLICOT. Journal of Numerical Analysis, Industrial and Applied Mathematics 2 (1-2), pp. 11 - 34 (2007)

Baur, U.; Benner, P.: Factorized Solution of Lyapunov Equations Based on Hierarchical Matrix Arithmetic. Computing 78 (3), pp. 211 - 234 (2006)

Benner, P.: Numerical Linear Algebra for Model Reduction in Control and Simulation. GAMM-Mitteilungen 29 (2), pp. 275 - 296 (2006)

Benner, P.; Byers, R.: An Arithmetic for Matrix Pencils: Theory and New Algorithms. Numerische Mathematik 103 (4), pp. 539 - 573 (2006)

Benner, P.; Faßbender, H.: Numerische Methoden zur passivitätserhaltenden Modellreduktion (Numerical Methods for Passivity Preserving Model Reduction). at - Automatisierungstechnik 54 (4), pp. 153 - 160 (2006)

Benner, P.; Kressner, D.: Algorithm 854: Fortran 77 Subroutines for Computing the Eigenvalues of Hamiltonian Matrices. ACM Transactions on Mathematical Software 32 (2), pp. 352 - 373 (2006)

Benner, P.; Kressner, D.: Balancing Sparse Hamiltonian Eigenproblems. Linear Algebra and its Applications 415 (1), pp. 3 - 19 (2006)

Benner, P.; Quintana-Ortí, E. S.; Quintana-Ortí, G.: Solving Stable Sylvester Equations via Rational Iterative Schemes. Journal of Scientific Computing 28 (1), pp. 51 - 83 (2006)