Publications of Peter Benner

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)

Benner, P.; Quintana-Ortí, E. S.; Quintana-Ortí, G.: Balanced Truncation Model Reduction of Large-Scale Dense Systems on Parallel Computers. Mathematical and Computer Modelling of Dynamical Systems 6 (4), pp. 383 - 405 (2000)

Benner, P.: Computational Methods for Linear-Quadratic Optimization. Rendiconti del Circolo Matematico di Palermo, Supplemento Serie II, 58, pp. 21 - 56 (1999)

Benner, P.; Claver, J.; Quintana-Ortí, E. S.: Parallel Distributed Solvers for Large Stable Generalized Lyapunov Equations. Parallel Processing Letters 9 (1), pp. 147 - 158 (1999)

Benner, P.; Faßbender, H.; Watkins, D.: SR and SZ Algorithms for the Symplectic (Butterfly) Eigenproblem. Linear Algebra and its Applications 287 (1-3), pp. 41 - 76 (1999)

Benner, P.; Mehrmann, V.; Xu, H.: A Note on the Numerical Solution of Complex Hamiltonian and Skew-Hamiltonian Eigenvalue Problems. Electronic Transactions on Numerical Analysis 8, pp. 115 - 126 (1999)

Benner, P.; Quintana-Ortí, E. S.: Solving Stable Generalized Lyapunov Equations with the Matrix Sign Function. Numerical Algorithms 20 (1), pp. 75 - 100 (1999)

Benner, P.; Byers, R.: An Exact Line Search Method for Solving Generalized Continuous-Time Algebraic Riccati Equations. IEEE Transactions on Automatic Control 43 (1), pp. 101 - 107 (1998)