Publications of Peter Benner

Benner, P.: Solving Large-Scale Control Problems. IEEE Control Systems Magazine 24 (1), pp. 44 - 59 (2004)

Benner, P.; Hernández, V.; Pastor, A.: The Kleinman Iteration for Nonstabilizable Systems. Mathematics of Control, Signals and Systems 19 (1), pp. 76 - 93 (2003)

Benner, P.; Kressner, D.; Mehrmann, V.: Structure Preservation: A Challenge in Computational Control. Future Generation Computer Systems 19 (7), pp. 1243 - 1252 (2003)

Benner, P.; Quintana-Ortí, E. S.; Quintana-Ortí, G.: Parallel Algorithms for Model Reduction of Discrete-Time Systems. International Journal of Systems Science 34 (5), pp. 319 - 333 (2003)

Benner, P.; Quintana-Ortí, E. S.; Quintana-Ortí, G.: State-Space Truncation Methods for Parallel Model Reduction of Large-Scale Systems. Parallel Computing 29 (11-12), pp. 1701 - 1722 (2003)

Benner, P.; Byers, R.; Mayo, R.; Quintana-Ortí, E. S.; Hernández, V.: Parallel Algorithms for LQ Optimal Control of Discrete-Time Periodic Linear Systems. Journal of Parallel and Distributed Computing 62 (2), pp. 306 - 325 (2002)

Benner, P.; Byers, R.; Mehrmann, V.; Xu, H.: Numerical Computation of Deflating Subspaces of Skew-Hamiltonian/Hamiltonian Pencils. SIAM Journal on Matrix Analysis and Applications 24 (1), pp. 165 - 190 (2002)

Benner, P.; Mehrmann, V.; Xu, H.: Perturbation Analysis for the Eigenvalue Problem of a Formal Product of Matrices. BIT Numerical Mathematics 42 (1), pp. 1 - 43 (2002)

Benner, P.; Quintana-Ortí, E. S.; Quintana-Ortí, G.: Numerical Solution of Discrete Stable Linear Matrix Equations on Multicomputers. Parallel Algorithms and Applications 17 (2), pp. 127 - 146 (2002)

Benner, P.: On a Numerical Method for the Regularization of Descriptor Systems. Zeitschrift für Angewandte Mathematik und Mechanik 81 (S3), pp. S707 - S708 (2001)

Benner, P.: Symplectic Balancing of Hamiltonian Matrices. SIAM Journal on Scientific Computing 22 (5), pp. 1885 - 1904 (2001)

Benner, P.; Byers, R.: Evaluating Products of Matrix Pencils and Collapsing Matrix Products. Numerical Linear Algebra with Applications 8 (6-7), pp. 357 - 380 (2001)

Benner, P.; Faßbender, H.: A Hybrid Method for the Numerical Solution of Discrete-Time Algebraic Riccati Equations. Contemporary Mathematics 280, pp. 255 - 269 (2001)

Benner, P.; Faßbender, H.: Computing Roots of Matrix Products. Zeitschrift für angewandte Mathematik und Mechanik 81 (S3), pp. S717 - S718 (2001)

Benner, P.; Faßbender, H.: An Implicitly Restarted Symplectic Lanczos Method for the Symplectic Eigenvalue Problem. SIAM Journal on Matrix Analysis and Applications 22 (3), pp. 682 - 713 (2001)

Benner, P.; Quintana-Ortí, E. S.; Quintana-Ortí, G.: Efficient Numerical Algorithms for Balanced Stochastic Truncation. International Journal of Applied Mathematics and Computer Science 11 (5), pp. 1123 - 1150 (2001)

Benner, P.; Byers, R.; Barth, E.: Algorithm 800: Fortran 77 Subroutines for Computing the Eigenvalues of Hamiltonian Matrices I: The Square-Reduced Method. ACM Transactions on Mathematical Software 26 (1), pp. 49 - 77 (2000)

Benner, P.; Byers, R.; Faßbender, H.; Mehrmann, V.; Watkins, D.: Cholesky-like Factorizations of Skew-Symmetric Matrices. Electronic Transactions on Numerical Analysis 11, pp. 85 - 93 (2000)

Benner, P.; Byers, R.; Quintana-Ortí, E. S.; Quintana-Ortí, G.: Solving Algebraic Riccati Equations on Parallel Computers Using Newton's Method with Exact Line Search. Parallel Computing 26 (10), pp. 1345 - 1368 (2000)

Benner, P.; Castillo, M.; Quintana-Ortí, E. S.; Hernández, V.: Parallel Partial Stabilizing Algorithms for Large Linear Control Systems. The Journal of Supercomputing 15 (2), pp. 193 - 206 (2000)