Publications of Peter Benner
All genres
Journal Article (301)
2001
Journal Article
Benner, P. & (2001)Computing Roots of Matrix ProductsZeitschrift für angewandte Mathematik und Mechanik, 81 (S3), S717–S718doi: 10.1002/zamm.200108115134.
Journal Article
Benner, P. & (2001)An Implicitly Restarted Symplectic Lanczos Method for the Symplectic Eigenvalue ProblemSIAM Journal on Matrix Analysis and Applications, 22 (3), 682–713doi: 10.1137/S0895479898343115.
Journal Article
Benner, P., , & (2001)Efficient Numerical Algorithms for Balanced Stochastic TruncationInternational Journal of Applied Mathematics and Computer Science, 11 (5), 1123–1150.
2000
Journal Article
Benner, P., , & (2000)Algorithm 800: Fortran 77 Subroutines for Computing the Eigenvalues of Hamiltonian Matrices I: The Square-Reduced MethodACM Transactions on Mathematical Software, 26 (1), 49–77doi: 10.1145/347837.347852.
Journal Article
Benner, P., , , , & (2000)Cholesky-like Factorizations of Skew-Symmetric MatricesElectronic Transactions on Numerical Analysis, 11, 85–93.
Journal Article
Benner, P., , , & (2000)Solving Algebraic Riccati Equations on Parallel Computers Using Newton's Method with Exact Line SearchParallel Computing, 26 (10), 1345–1368doi: 10.1016/S0167-8191(00)00012-0.
Journal Article
Benner, P., , , & (2000)Parallel Partial Stabilizing Algorithms for Large Linear Control SystemsThe Journal of Supercomputing, 15 (2), 193–206doi: 10.1023/A:1008108004247.
Journal Article
Benner, P., , & (2000)Balanced Truncation Model Reduction of Large-Scale Dense Systems on Parallel ComputersMathematical and Computer Modelling of Dynamical Systems, 6 (4), 383–405doi: 10.1076/mcmd.6.4.383.3658.
1999
Journal Article
Benner, P. (1999)Computational Methods for Linear-Quadratic OptimizationRendiconti del Circolo Matematico di Palermo, Supplemento, Serie II, 58, 21–56.
Journal Article
Benner, P., , & (1999)Parallel Distributed Solvers for Large Stable Generalized Lyapunov EquationsParallel Processing Letters, 9 (1), 147–158doi: 10.1142/S0129626499000165 .
Journal Article
Benner, P., , & (1999)SR and SZ Algorithms for the Symplectic (Butterfly) EigenproblemLinear Algebra and its Applications, 287 (1-3), 41–76doi: 10.1016/S0024-3795(98)10090-3.
Journal Article
Benner, P., , & (1999)A Note on the Numerical Solution of Complex Hamiltonian and Skew-Hamiltonian Eigenvalue ProblemsElectronic Transactions on Numerical Analysis, 8, 115–126.
Journal Article
Benner, P. & (1999)Solving Stable Generalized Lyapunov Equations with the Matrix Sign FunctionNumerical Algorithms, 20 (1), 75–100doi: 10.1023/A:1019191431273.
1998
Journal Article
Benner, P. & (1998)An Exact Line Search Method for Solving Generalized Continuous-Time Algebraic Riccati EquationsIEEE Transactions on Automatic Control, 43 (1), 101–107doi: 10.1109/9.654908.
Journal Article
Benner, P. & (1998)The Symplectic Eigenvalue Problem, the Butterfly Form, the SR Algorithm, and the Lanczos MethodLinear Algebra and its Applications, 275-276, 19–47doi: 10.1016/S0024-3795(97)10049-0.
Journal Article
Benner, P., , & (1998)Two Connections between the SR and HR Eigenvalue AlgorithmsLinear Algebra and its Applications, 272 (1-3), 17–32doi: 10.1016/S0024-3795(97)00279-6.
Journal Article
Benner, P., , & (1998)A Numerically Stable, Structure Preserving Method for Computing the Eigenvalues of Real Hamiltonian or Symplectic PencilsNumerische Mathematik, 78 (3), 329–358doi: 10.1007/s002110050315.
1997
Journal Article
Benner, P. & (1997)An Implicitly Restarted Symplectic Lanczos Method for the Hamiltonian Eigenvalue ProblemLinear Algebra and its Applications, 263, 75–111doi: 10.1016/S0024-3795(96)00524-1.
Journal Article
Benner, P., , & (1997)Benchmarks for the Numerical Solution of Algebraic Riccati EquationsIEEE Control Systems Magazine, 17 (5), 18–28doi: 10.1109/37.621466.
Journal Article
Benner, P., , & (1997)A New Method for Computing the Stable Invariant Subspace of a Real Hamiltonian MatrixJournal of Computational and Applied Mathematics, 86 (1), 17–43doi: 10.1016/S0377-0427(97)00146-5.