Publications of Peter Benner
All genres
Journal Article (283)
2001
Journal Article
8 (6-7), pp. 357 - 380 (2001)
Evaluating Products of Matrix Pencils and Collapsing Matrix Products. Numerical Linear Algebra with Applications
Journal Article
280, pp. 255 - 269 (2001)
A Hybrid Method for the Numerical Solution of Discrete-Time Algebraic Riccati Equations. Contemporary Mathematics
Journal Article
81 (S3), pp. S717 - S718 (2001)
Computing Roots of Matrix Products. Zeitschrift für angewandte Mathematik und Mechanik
Journal Article
22 (3), pp. 682 - 713 (2001)
An Implicitly Restarted Symplectic Lanczos Method for the Symplectic Eigenvalue Problem. SIAM Journal on Matrix Analysis and Applications
Journal Article
11 (5), pp. 1123 - 1150 (2001)
Efficient Numerical Algorithms for Balanced Stochastic Truncation. International Journal of Applied Mathematics and Computer Science 2000
Journal Article
26 (1), pp. 49 - 77 (2000)
Algorithm 800: Fortran 77 Subroutines for Computing the Eigenvalues of Hamiltonian Matrices I: The Square-Reduced Method. ACM Transactions on Mathematical Software
Journal Article
11, pp. 85 - 93 (2000)
Cholesky-like Factorizations of Skew-Symmetric Matrices. Electronic Transactions on Numerical Analysis
Journal Article
26 (10), pp. 1345 - 1368 (2000)
Solving Algebraic Riccati Equations on Parallel Computers Using Newton's Method with Exact Line Search. Parallel Computing
Journal Article
15 (2), pp. 193 - 206 (2000)
Parallel Partial Stabilizing Algorithms for Large Linear Control Systems. The Journal of Supercomputing
Journal Article
6 (4), pp. 383 - 405 (2000)
Balanced Truncation Model Reduction of Large-Scale Dense Systems on Parallel Computers. Mathematical and Computer Modelling of Dynamical Systems 1999
Journal Article
Serie II, 58, pp. 21 - 56 (1999)
Computational Methods for Linear-Quadratic Optimization. Rendiconti del Circolo Matematico di Palermo, Supplemento
Journal Article
9 (1), pp. 147 - 158 (1999)
Parallel Distributed Solvers for Large Stable Generalized Lyapunov Equations. Parallel Processing Letters
Journal Article
287 (1-3), pp. 41 - 76 (1999)
SR and SZ Algorithms for the Symplectic (Butterfly) Eigenproblem. Linear Algebra and its Applications
Journal Article
8, pp. 115 - 126 (1999)
A Note on the Numerical Solution of Complex Hamiltonian and Skew-Hamiltonian Eigenvalue Problems. Electronic Transactions on Numerical Analysis
Journal Article
20 (1), pp. 75 - 100 (1999)
Solving Stable Generalized Lyapunov Equations with the Matrix Sign Function. Numerical Algorithms 1998
Journal Article
43 (1), pp. 101 - 107 (1998)
An Exact Line Search Method for Solving Generalized Continuous-Time Algebraic Riccati Equations. IEEE Transactions on Automatic Control
Journal Article
275-276, pp. 19 - 47 (1998)
The Symplectic Eigenvalue Problem, the Butterfly Form, the SR Algorithm, and the Lanczos Method. Linear Algebra and its Applications
Journal Article
272 (1-3), pp. 17 - 32 (1998)
Two Connections between the SR and HR Eigenvalue Algorithms. Linear Algebra and its Applications
Journal Article
78 (3), pp. 329 - 358 (1998)
A Numerically Stable, Structure Preserving Method for Computing the Eigenvalues of Real Hamiltonian or Symplectic Pencils. Numerische Mathematik 1997
Journal Article
263, pp. 75 - 111 (1997)
An Implicitly Restarted Symplectic Lanczos Method for the Hamiltonian Eigenvalue Problem. Linear Algebra and its Applications