Publications of Peter Benner

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)

Benner, P.; Faßbender, H.: The Symplectic Eigenvalue Problem, the Butterfly Form, the SR Algorithm, and the Lanczos Method. Linear Algebra and its Applications 275-276, pp. 19 - 47 (1998)

Benner, P.; Faßbender, H.; Watkins, D.: Two Connections between the SR and HR Eigenvalue Algorithms. Linear Algebra and its Applications 272 (1-3), pp. 17 - 32 (1998)

Benner, P.; Mehrmann, V.; Xu, H.: A Numerically Stable, Structure Preserving Method for Computing the Eigenvalues of Real Hamiltonian or Symplectic Pencils. Numerische Mathematik 78 (3), pp. 329 - 358 (1998)

Benner, P.; Faßbender, H.: An Implicitly Restarted Symplectic Lanczos Method for the Hamiltonian Eigenvalue Problem. Linear Algebra and its Applications 263, pp. 75 - 111 (1997)

Benner, P.; Laub, A. J.; Mehrmann, V.: Benchmarks for the Numerical Solution of Algebraic Riccati Equations. IEEE Control Systems Magazine 17 (5), pp. 18 - 28 (1997)

Benner, P.; Mehrmann, V.; Xu, H.: A New Method for Computing the Stable Invariant Subspace of a Real Hamiltonian Matrix. Journal of Computational and Applied Mathematics 86 (1), pp. 17 - 43 (1997)

Ammar, G.; Benner, P.; Mehrmann, V.: A Multishift Algorithm for the Numerical Solution of Algebraic Riccati Equations. Electronic Transactions on Numerical Analysis 1, pp. 33 - 48 (1993)